The present disclosure relates to systems and methods for producing chemisorption-induced ultraviolet photoluminescence.
Conventional light-emitting semiconductor quantum wells are ubiquitous in optoelectronics for encoding, manipulating, carrying and conveying information. The discovery of high-mobility conduction (Ohtomo, 2004) and correlated electronic phase behavior (Dagotto, 2005; Reyren, 2007; Hwang, 2011; Mannhart, 2011) at the interface between band insulators LaAlO3 and SrTiO3 offers prospects for novel, all-oxide electronics.
Symmetry breaking and chemical potential mismatch between constituent materials at an interface or a surface result in novel phenomena inaccessible in the bulk. These phenomena can be tuned extensively, since a surface, and to some extent, an interface, is free to reconstruct structurally and electronically. For example, discovery of high-mobility conduction (Ohtomo, 2004), ferromagnetism and superconductivity (Dagotto, 2005; Reyren, 2007; Hwang, 2011; Mannhart, 2011) at the interface between band insulators LaAlO3 (LAO) and SrTiO3 (STO) offers prospects for novel, all-oxide electronics. These prospects are advanced by local and reversible manipulation of an insulator-to-metal (IM) transition and conductance (Cen, 2010) and photodetection (Irvin, 2010), promising reconfigurable nanoscale oxide electronics through local surface chemical control (Cen, 2009).
Electronic correlations of the oxide lattice drive a host of distinctive features and properties of the two-dimensional electron liquid (2DEL) at complex oxide heterostructure interfaces (Hwang, 2011; Mannhart, 2011). Among these, and distinct from two-dimensional carrier gases in conventional semiconductors, is the occurrence of multiple quantum wells each spaced by the TiO6 octahedral distance (Breitschaft, 2010) in addition to a contribution from band bending. Since transport measurements involve electrons near the Fermi level (EF), observation of tunneling conductances is limited to probing unoccupied states (≧EF).
The search persists for novel nanoscale oxide optoelectronic systems and devices that are enabled by the distinctive properties of the two-dimensional electron liquid at complex oxide heterostructure interfaces.
Disclosed are systems for detection of a chemical species comprising a complex oxide heterostructure comprising an upper member having an exposed surface, a lower member, and an interface between the upper and lower members, wherein chemisorption of the chemical species at the exposed surface of the upper member produces ultraviolet photoluminescence at the interface between the upper and lower members, and wherein the upper member has a thickness of up to about 30 unit cells; and, a sensor for determining the absence or presence of ultraviolet photoluminescence at the interface.
Also disclosed are methods for determining the absence or presence of a chemical species in a sample comprising providing a complex oxide heterostructure comprising an upper member having an exposed surface, a lower member, and an interface between the upper and lower members, wherein chemisorption of the chemical species at the exposed surface of the upper member produces ultraviolet photoluminescence at the interface between the upper and lower members, and wherein the upper member has a thickness of up to about 30 unit cells; contacting the exposed surface of the upper member of the heterostructure with the sample; and, determining whether the interface between the upper and lower members produces ultraviolet photoluminescence following the contacting step.
The present disclosure also relates to optoelectronic devices that comprise a complex oxide heterostructure comprising an upper member having an exposed surface, a lower member, and an interface between the upper and lower members, wherein the upper member has a thickness of up to about 30 unit cells; and, a plurality of individual members of a chemical species that is chemisorbed in a patterned array on the exposed surface of the upper member, wherein the chemisorption of each member of the chemical species at the exposed surface produces ultraviolet photoluminescence at a location of the interface that corresponds to the spatial location of each member on the exposed surface. In addition, the present disclosure concerns a plurality of such optoelectronic devices that encodes information when the ultraviolet photoluminescence at the interface of each respective device is read in series.
Also disclosed are methods for producing an optoelectronic device comprising: providing a complex oxide heterostructure comprising an upper member having an exposed surface, a lower member, and an interface between the upper and lower members, wherein the upper member has a thickness of up to about 30 unit cells; chemisorbing a plurality of individual members of a chemical species in a patterned array on said exposed surface of the upper member, wherein the chemisorption of a member of the chemical species at the exposed surface produces ultraviolet photoluminescence at a location of the interface that corresponds to the spatial location of the member on the exposed surface.
In
The present inventions may be understood more readily by reference to the following detailed description taken in connection with the accompanying figures and examples, which form a part of this disclosure. It is to be understood that these inventions are not limited to the specific products, methods, conditions or parameters described and/or shown herein, and that the terminology used herein is for the purpose of describing particular embodiments by way of example only and is not intended to be limiting of the claimed inventions.
In the present disclosure the singular forms “a,” “an,” and “the” include the plural reference, and reference to a particular numerical value includes at least that particular value, unless the context clearly indicates otherwise. Thus, for example, a reference to “a material” may be a reference to one or more of such materials and equivalents thereof known to those skilled in the art, and so forth. When values are expressed as approximations, by use of the antecedent “about,” it will be understood that the particular value forms another embodiment. As used herein, “about X” (where X is a numerical value) preferably refers to ±10% of the recited value, inclusive. For example, the phrase “about 8” preferably refers to a value of 7.2 to 8.8, inclusive; as another example, the phrase “about 8%” preferably (but not always) refers to a value of 7.2% to 8.8%, inclusive. Where present, all ranges are inclusive and combinable. For example, when a range of “1 to 5” is recited, the recited range should be construed as including ranges “1 to 4”, “1 to 3”, “1-2”, “1-2 & 4-5”, “1-3 & 5”, “2-5”, and the like. In addition, when a list of alternatives is positively provided, such listing can be interpreted to mean that any of the alternatives may be excluded, e.g., by a negative limitation in the claims. For example, when a range of “1 to 5” is recited, the recited range may be construed as including situations whereby any of 1, 2, 3, 4, or 5 are negatively excluded; thus, a recitation of “1 to 5” may be construed as “1 and 3-5, but not 2”, or simply “wherein 2 is not included.” It is intended that any component, element, attribute, or step that is positively recited herein may be explicitly excluded in the claims, whether such components, elements, attributes, or steps are listed as alternatives or whether they are recited in isolation.
Unless otherwise specified, any component, element, attribute, or step that is disclosed with respect to one embodiment of the present methods and products may apply to any other method or product that is disclosed herein.
The disclosures of each patent, patent application, and publication cited or described in this document are hereby incorporated herein by reference, in their entirety.
The present disclosure pertains, inter alia, to the discovery of intense, narrow-linewidth surface, chemically-switchable ultraviolet photoluminescence from radiative recombination of the two-dimensional electron liquid with photo-excited holes in complex oxide heterostructures, such as LaAlO3/SrTiO3 (LAO/STO). Complex oxide heterostructures are known among those skilled in the art and typically include a substrate, a first or lower layer formed on the substrate, and a second, upper layer formed on the second layer, wherein both members may be, for example, an oxide perovskite. The presently discovered photoluminescence from the interface between the upper and lower layers can be suppressed and restored reversibly under oxidizing and reducing conditions, respectively, induced by chemisorption and reversal of chemisorption on the exposed surface of the heterostructure's upper member. Such mechanism can be attributable to electron transfer-driven mediation of electronic structure from the exposed surface that may be as many as about 30 unit cells away from the atomically abrupt interface. While light emission invites comparison with traditional compound semiconductor heterojunctions, these results and a model description involving interplay of fast electron transfer connecting reversible coupling of adsorption with quantum well luminescence reveals a new paradigm for surface chemically reconfigurable solid-state UV optoelectronics and molecular sensing.
The present disclosure demonstrates, through a combination of photoluminescence spectroscopy, density functional theoretical (DFT) simulations and thermodynamic analyses, how chemisorption-induced manipulation of the interfacial electronic structure reversibly enables and suppresses intense ultraviolet photoluminescence involving radiative recombination of two-dimensionally-confined electrons at the heterostructure interface with photo-excited holes as many as about 30 unit cells away from the surface, as illustrated in
The well-known polar catastrophe model (Ohtomo, 2004), when described with respect to LAO/STO heterostructures, results in a LAO-thickness-dependent insular-to-metal transition in LAO/STO, with its electronic reconstruction consisting of holes at the surface and electrons at the interface, due to the buildup of potential across LAO. Overlapping conduction and valence bands, internal electric fields within LAO, low 2D electron density (
A series of low-temperature photoluminescence measurements supports these predictions. Photoluminescence spectra collected at 4.2° K from as-grown 10 u.c. LAO/STO samples (described more fully infra) stored at 300° K and atmospheric pressure reveal a broad feature with peak near 2.8 eV, attributed to radiative recombination through O vacancy defect levels (
Peaks at 3.209 and 3.261 eV (BE− and BE+, respectively) are assigned to interband optical transitions involving transverse optical phonon (ωTO=26 meV) emission Eg−ωTO and absorption Eg+ωTO via the Brillouin zone boundary (Yamada, 2013; Gervais, 1993). Phonon-assisted photoluminescence is commonly seen in indirect band gap materials like STO, and the absence of excitons is consistent with its unusually high dielectric constant (˜10,000 at 4.2° K) (Neville, 1972). The Eg of the STO samples was therefore estimated to be 3.235 eV at 4.2° K, in agreement with previous reports (Longo, 2008; Longo, 2010; Orhan, 2004; Zollner, 2000). It is proposed, however, that the peaks centered at 3.192 and 3.240 eV (2D1 and 2D2, respectively,
The emergent optical transitions are controlled by fast dynamics in the tested surface chemical environment. H2O molecules spontaneously dissociate into H+ and −OH when the AlO2-terminated LAO/STO system is exposed to water vapor, enabling the “water-cycle” mechanism (Levy, 2010). The dissociated H2O components can diffuse and influence the surface environment. Specifically, the dissociated −OH can fill a surface O vacancy and become an adsorbed H, reducing number of O vacancies. However, dissociated H+ has lower diffusion barriers than −OH (Li, 2012), leading to large surface regions populated mainly by H+. The ab initio thermodynamic stability analysis of surfaces covered with either −OH or H+ shows that the H-chemisorbed system is much more thermodynamically stable than the −OH-chemisorbed system (
Previous work on H-chemisorbed-LAO/STO indicates that the most stable coverage is one H per two surface unit cells (Son, 2010), and the present DFT+U (Anisimov, 1997) calculations (
Ultraviolet photoluminescence features arise from radiative recombination of electrons in quantized states with photoexcited holes. The present DFT calculations predict strongly localized 2DEL conducting bands below EF (
To analyze further the 2DEL-derived photoluminescence features, the present inventors evaluated how chemisorption of H+ on AlO2 surfaces of LaAlO3 alters the conduction and valence bands at and near the LAO/STO interface and induces changes in electron density, band bending, and formation of quantized 2D sub-bands at and near the interface. Self-consistent solutions of the coupled Poisson-Schrödinger (PS) equations (Examples, infra) including a band-bending (King, 2008; Biscaras, 2012) reveal H+ chemisorption-induced flattening of the potential gradient across the LAO layer, and that the calculated n=1 level is 42 meV below the bulk band edge, in excellent agreement with our measured value of 43 meV (
A distinctive signature of the two-dimensional origin of the photoluminescence is saturation of 2DEL photoluminescence intensity at low T followed by thermally-activated quenching at higher T (Bergman, 1996; Shen, 2000; Luo, 2001). The LAO/STO 2DEL photoluminescence can be discerned in the obtained spectra beginning at ˜65 K (
In contrast to III-V compound semiconductors and their heterojunctions for which dEg/dT<0, the 2D1 and BE− peaks shift to higher energy with T (
Comparison of the variations in intensities of phonon replica-mediated (i.e., BE−) and 2DEL photoluminescence with incident laser pump power reveals strongly different, superlinear character in each for pump power Ppump<0.6 mW and approximately similar linear increases for Ppump>0.6 mW (
An inversion layer is known to form at the STO surface even in the absence of LAO or other complex oxide films, also forming a two dimensional electron gas or liquid (Meevasana, 2011). It was presently found that pristine TiO2-terminated STO substrates prepared in the same manner as those for LAO film growth and exposed to water vapor in the same manner have photoluminescence at 4.2° K with UV peaks centered at the same photon energies as those seen for the 10 u.c. LAO/STO (
Thus, the present inventors have discovered a correlation between the onset of intense UV photoluminescence from complex oxide quantum wells with chemisorption and dissociation of chemical species, as well as the ability to reverse this effect (i.e., to suppress the ultraviolet emission replaced by spectrally broad, blue photoluminescence). This discovery represents a powerful and sensitive new in operando probe of surface molecular adsorption and of competition in excited state lifetimes among quantum wells- and oxygen vacancy-based recombination with photo-excited holes. Further, connection of molecular adsorbates on and resulting electron transfer from complex oxide surfaces with changes in sub-surface interfacial quantum well electronic structure—observable via UV emission involving two dimensionally-confined electrons—provides novel paradigms for sensing and for surface chemically-programmable optoelectronics.
Accordingly, disclosed are systems for detecting a chemical species comprising a complex oxide heterostructure comprising an upper member having an exposed surface, a lower member, and an interface between the upper and lower members, wherein chemisorption of the chemical species at the exposed surface of the upper member produces ultraviolet photoluminescence at the interface between the upper and lower members, and wherein the upper member has a thickness of up to about 30 unit cells; and, a sensor for determining the absence or presence of ultraviolet photoluminescence at the interface.
In the present systems, the upper and lower members may respectively be formed from any complex oxide species, of which many examples are familiar to those of ordinary skill in the art. For example, the upper and lower members may each be an oxide perovskite. In some embodiments, the upper member comprises GdTiO3, SrVO3, LaVO3, SrNbO3, or LaAlO3. The lower member may comprise, for example, SrTiO3. The thickness of the lower member may be, for example, about 2 unit cells to about 100 unit cells. The lower member may be formed by deposition on a substrate, such as a silicon substrate, or another simple perovskite (ABO3 type), complex perovskite such as (La/Sr)(Al/Ta)O3, or non-perovskite (e.g., MgO) substrate. Alternatively, the lower member may itself be a substrate, such as SrTiO3. The thickness of the upper member may be up to about 30 unit cells, such as about 1, 2, 3, 4, 5, 10, 12, 15, 17, 20, 22, 25, 27, or 30 unit cells thick.
The chemical species that the present systems can be used to detect may be characterized as any species that is capable of donating up to one-half electron per unit cell of the upper member when chemisorbed onto the exposed surface of the upper member. The chemical species may also or alternatively be characterized as filling an oxygen vacancy on the exposed surface of the upper member. For example, the chemical species may be a molecule containing an alkali or transition metal and at least one cation that results in chemisorption of H+ or another ion in one or more oxidation states on the exposed surface of the upper member. Such ionic moieties may include Na, Mg, K, Ba, Ca, Zr, Nb, V, Cr, Co, Ni, Cu, Zn, Al, Ga, In, or the like.
As used in connection with the presently described systems, a “sensor” may refer to any device, apparatus, or series of devices or apparatuses that can be used to determine the absence or presence, and/or the intensity of ultraviolet photoluminescence at the interface between the upper and lower members of the complex oxide heterostructure. For example, the sensor may include a light source for exciting the possible source of photoluminescence (e.g., a laser), an apparatus for collecting the photoluminescence spectra (such as a monochromator), and a light detection apparatus, such as a photomultiplier tube, for detecting any ultraviolet photoluminescence from the collected spectra. Those of ordinary skill in the art will readily appreciate that various other apparatuses, devices, or series of devices or apparatuses can be used in order to determine the absence or presence, and/or the intensity of ultraviolet photoluminescence at the interface, and the present disclosure should not be interpreted as being limited to any particular mechanism for performing this function. The sensor may further include components that can measure the chemisorption coverage on the exposed surface of the upper member, for example, by correlating the correlating the observed photoluminescence intensity to chemisorption coverage on the exposed surface of the upper member.
Also disclosed are methods for determining the absence or presence of a chemical species in a sample comprising providing a complex oxide heterostructure comprising an upper member having an exposed surface, a lower member, and an interface between the upper and lower members, wherein chemisorption of the chemical species at the exposed surface of the upper member produces ultraviolet photoluminescence at the interface between the upper and lower members, and wherein the upper member has a thickness of up to about 30 unit cells; contacting the exposed surface of the upper member of the heterostructure with the sample; and, determining whether the interface between the upper and lower members produces ultraviolet photoluminescence following the contacting step.
Any of the characteristics of the complex oxide heterostructure that are described with respect to the previously described systems may apply with respect to the complex oxide heterostructures of the presently disclosed methods.
The sample that is assessed for the absence or presence of a chemical species may be a liquid or a gas (including a vapor). The step of contacting the exposed surface of the upper member of the heterostructure with the sample may be carried out by any means that results in physical contact between the sample and the exposed surface of the upper member. The duration of the contacting step may be selected as desired. For example, the duration of the contacting step may be one second, several seconds, a minute, several minutes, 15 minutes, 30 minutes, one hour, multiple hours, 12 hours, 24 hours, 36 hours, 48 hours, or multiple days.
The determination of whether the interface between the upper and lower members produces ultraviolet photoluminescence following the contacting step may include the use of any sensor as described above with respect to the presently disclosed systems.
The present methods may further comprise measuring the intensity of any ultraviolet photoluminescence at the interface between the upper and lower members. The methods may also or alternatively comprise determining the extent of chemisorption coverage on the exposed surface of the upper member, for example, by correlating the correlating the observed photoluminescence intensity to chemisorption coverage on the exposed surface of the upper member.
If the interface does produce any ultraviolet photoluminescence, the instant methods may additionally comprise terminating at least some of the ultraviolet photoluminescence. As disclosed above, the present inventors have discovered that the ultraviolet photoluminescence effect that was observed with respect to complex oxide heterostructures is reversible, i.e., can be alternately induced and terminated as many times as desired. The chemisorption of an individual member of the chemical species at the exposed surface of the complex oxide heterostructure can produce ultraviolet photoluminescence at a location of the interface that corresponds to the spatial location of the individual member of the chemical species on the exposed surface of the upper member of the heterostructure. In accordance with the present methods, ultraviolet photoluminescence can be induced or terminated at one or more discrete locations of the interface, for example, by chemical desorption at the corresponding spatial location of the upper member of the heterostructure. Other methods for terminating the ultraviolet photoluminescence at a desired location include the use of laser light, heat pulses, or photoionization. For example, a probe may be used to deliver a charge (localized voltage pulse) to a desired location on the exposed surface of the upper member in order to transfer a charge to the heterostructure interface and thereby turn off the electronic reconstruction at a location of the interface that spatially corresponds to the location of the exposed surface to which the charge was delivered. Those of ordinary skill in the art will readily appreciate other available techniques for terminating at least some of the ultraviolet photoluminescence at the heterostructure interface.
The present disclosure also relates to optoelectronic devices that comprise a complex oxide heterostructure comprising an upper member having an exposed surface, a lower member, and an interface between the upper and lower members, wherein the upper member has a thickness of up to about 30 unit cells; and, a plurality of individual members of a chemical species that is chemisorbed in a patterned array on the exposed surface of the upper member, wherein the chemisorption of each member of the chemical species at the exposed surface produces ultraviolet photoluminescence at a location of the interface that corresponds to the spatial location of each member on the exposed surface. In addition, the present disclosure concerns a plurality of such optoelectronic devices that encodes information when the ultraviolet photoluminescence at the interface of each respective device is read in series.
Any of the characteristics of the complex oxide heterostructures that are described with respect to the previously described systems may apply with respect to the complex oxide heterostructures of the presently disclosed optoelectronic devices. Furthermore, the present devices may include any of the chemical species that are described above in connection with the instantly disclosed systems.
In accordance with the present devices, one may chemisorb individual members of the chemical species on the exposed surface of the upper member of the heterostructure in any desired pattern. For example, optional patterns can include stripes, patches, geometric or random shapes, numbers or letters, or any combination thereof. For the purpose of creating a pattern, localized chemisorption of an individual member of the chemical species can be accomplished, for example, by scanning, rasterizing or otherwise placing a local probe, such as an atomic force microscope cantilever including an electrically conductive tip, across in a pre-patterned area or on the surface of an oxide film as described above. This may be performed in the presence of an atmosphere (vapor pressure) containing a molecule having a dissociation product (such as, but not limited to H, O, or OH) during application of a voltage to the tip with respect to the substrate or underlying electrical ground, will result in the local chemisorption of one or more species onto the oxide surface. This can be introduced using a sequence of one or more steps to introduce a pattern of chemistorbates, or using one or more other lithographic process to define areas of chemisorbate on the oxide, all resulting in definition of local region(s) in which UV quantum well photoluminescence will be emitted.
When a plurality of optoelectronic devices in accordance with the present disclosure are arranged together, the patterns of the respective devices can encode information that may be revealed by reading the plurality of devices in series (e.g., in an intended order).
Also disclosed are methods for producing an optoelectronic device comprising: providing a complex oxide heterostructure comprising an upper member having an exposed surface, a lower member, and an interface between the upper and lower members, wherein said upper member has a thickness of up to about 30 unit cells; chemisorbing a plurality of individual members of a chemical species in a patterned array on the exposed surface of the upper member, wherein the chemisorption of a member of the chemical species at the exposed surface produces ultraviolet photoluminescence at a location of the interface that corresponds to the spatial location of the member on the exposed surface.
Any of the characteristics of the complex oxide heterostructures that are described with respect to the previously described systems may apply with respect to the complex oxide heterostructures of the presently disclosed methods for producing an optoelectronic device. Furthermore, the devices of the present methods may include any of the chemical species that are described above in connection with the instantly disclosed systems. Additionally, the step of chemisorbing a plurality of individual members of a chemical species in a patterned array on the exposed surface of the upper member of the heterostructure may include any of the techniques described above with respect to the disclosed optoelectronic devices.
Additional details concerning the presently disclosed systems, methods, and devices are provided in the examples below, which are purely exemplary in nature and are not intended to impose limitations on any aspect of the inventive subject matter described above.
One set of 10 unit cell thick LaAlO3 films were grown via reflection high-energy electron diffraction (RHEED)-monitored pulsed-laser deposition (PLD) following the procedure reported previously (Breckenfield, 2013). Briefly, the films were grown at a substrate temperature of 750° C. (this temperature refers to the temperature of the Ag-paint used to provide thermal contact between the substrate and the heater plate as measured via pyrometry), in an oxygen pressure of 1×10−3 Torr, with a laser repetition rate of 1 Hz, from a single crystal LaAlO3 (001) target (Crystec, GmbH) on TiO2-terminated SrTiO3 (001) substrates treated via standard methods. The growth rate for all films was measured to be about 12 pulses/unit cell. The laser fluence during growth was varied between 1.2-2.0 J/cm2 by changing the laser spot size from 0.043 cm2 to 0.071 cm2 while holding the total incident laser energy constant (85 mJ). All growths were completed with the laser focused on the target in an imaging mode. Growths were completed in an on-axis geometry with a target-substrate distance of 6.6 cm. In situ RHEED studies were used to track the evolution of growth modes, establish growth rates for all depositions, and probe the surface structure and quality.
RHEED intensity profiles for 10 unit cell thick films grown at 1.2 (
A second set of LAO/STO samples was prepared using PLD with RHEED. The films were grown at an oxygen pressure of 3×10−6 torr and a substrate temperature of 720° C. using a single crystal LaAlO3 target. For the power source, an excimer laser with 0.7 J/cm2 energy density and a repetition rate of 1 Hz was used. The sample was cooled at a pressure of 3 ×10−6 of oxygen. The low growth temperature is necessary because of the low oxygen pressure during the growth: higher growth temperature leads to oxygen loss from the STO substrate. A consequence of the low growth temperature is the delay of strain relaxation in the LAO films to about 20 u.c. The low energy density of the laser pulse was chosen such that stoichiometry can be achieved in the LAO film under the growth conditions.
PL spectra were collected through a 0.3 m monochromator (Jobin Yvon U1000), dispersed with 1200 grooves/mm gratings, and detected using a water-cooled photomultiplier tube (Hamamatsu). A 325-nm He—Cd laser (Kimmon-Khoa) was used as the excitation source, focused to a spot diameter of 1.15 μm. The incident intensity was in the range of 1-22 W/cm2. The samples were mounted in a cryostat (Janis ST-100) and held at 5 ×10−6 Torr. The vacuum pump and a container of deionized water were simultaneously attached to the cryostat by using a mechanical manifold composed of a T-connector and two diaphragm valves. The sample was pumped down and cooled with the water vapor supply valve closed and the pump valve open. After the cryostat reached its base pressure and desired temperature, the pump valve was closed and the water valve opened for approximately one second and then closed, and the pump was turned off PL data were collected in situ in this configuration. Water vapor was introduced from 300K to 4.2 K through a ¼″ dia. tube.
Plane-wave basis set DFT calculations were performed using the local density approximation (Perdew J P, 1992)+Hubbard U method (LDA+U) (Anisimov V I, 1997) as implemented in the Quantum Espresso (Giannozzi P, 2009) computer code. The Ueff parameter (Ueff=4.75 eV) for the Ti 3d states was determined by computing the linear response of Ti 3d orbital energy versus occupation number following the scheme previously developed (see Cococcioni and de Gironcoli, 2005). All atoms were represented by norm-conserving, optimized (Rappe A M, 1990), designed nonlocal (Ramer N J, 1999) pseudopotentials generated with the opium package (http://opium.sourceforge.net). The Brillouin zone was sampled using a minimum of 4×4×1 Monkhorst-Pack (Monkhorst H J, 1976) k-point mesh for the slab structures. All calculations were performed with a 50 Ry plane-wave energy cutoff The ionic relaxation parameters were chosen so that the forces in the slab structures were lower than 20 meV/{acute over (Å)}. The LAO/STO interface was modeled with a supercell slab method. The slabs were separated with about 16 {acute over (Å)} of vacuum. In this slab model, a dipole correction was added to remove the artificial electric field in the vacuum region.
Thermodynamic Stability Analysis of H+ and −OH adsorption at the LAO/STO Surface
It has been observed that water can be dissociated into H+ and −OH when it is exposed to AlO2-terminated surface of LAO/STO (Bi F, 2010). The dissociated components can then be adsorbed and diffuse through the surface. Presently reported is a theoretical thermodynamic stability analysis of AlO2-terminated surface structure of the LAO/STO system with adsorbates from water dissociation. Density Functional Theory (DFT) calculations were performed to compute the total energy of the bare slab, slab with adsorbates and each of the adsorbate component. The free energies of LAO/STO systems are modeled thermodynamically considering them to be in contact with an atmosphere composed of water vapor components in equilibrium. The surface Gibbs free energy, Ωi, of an individual surface slab, i, is defined as the excess amount of free energy needed to create the surface from its bulk form. In this case, we are treating two surface slabs, Omege(H) and Omega(OH), with H+ and −OH as adsorbates, respectively, and their surface Gibbs free energies are defined as follows:
The expressions above are simplified by taking into consideration the following assumptions and approximations:
G=Etotal+Fvib−TSconf+pV≈Etotal
The energetic contributions provided by the pV and TSconf terms to the thermodynamic stability are considered to be negligible. Also, the term Fvib, which is equal to Evib−TSvib, can be computed by the vibrational modes of the system; however, it has been shown for other systems that the phonon frequencies do not vary the order of stable surface phases.
μH
ΔμH
ΔμH=μH−½EH
ΔμO=μO−½EO
ΔμO can be directly related to T and p(O2) by the ideal gas approximation, since at equilibrium μO is equal to the chemical potential of oxygen gas in the environment,
μO=½μO
This leads to:
where ΔμO(T,p0)=½ΔGO
Thermodynamic data from the NIST-JANAF thermochemical tables are used to determine the values of ΔμO(T,p0) by selecting the reference state for ½ΔGO
Based on assumptions and approximations above, the surface free energies are redefined as
The results of the calculations, shown in
Density Functional Theory calculations of LAO/STO
DFT calculations were performed with plane-wave basis set using both the local density approximation (LDA) (Perdew J P, 1992) and with Hubbard U (LDA+U) (Anisimov V I, 1997) as implemented in the Quantum Espresso (Giannozzi P, 2009) computer code. The LDA+U method, which consists in expanding the LDA energy functional with additional on-site orbital-dependent energy terms, a Hubbard repulsion U and an intratomic Hund's exchange energy J, provides an improved description of electron localization. The spherically averaged form of the rotationally invariant (Dudarev S L, 1998) LDA+U was used with only one effective Hubbard term Ueff=U−J, this was determined for the Ti 3d states by linear response (Cococcioni M, 2005) to be Ueff=4.75 eV.
The LAO/STO slab structures were designed to model the experimental setup at temperatures below 120 K; therefore, low temperature phases of STO I4/mcm and LAO R3cH with 128 Glazer notations a0a0c+ and a-a-a-, respectively, were used. The LAOn/STO(001) slabs with n=1,2, . . . ,6 LAO unit cells were simulated, while keeping the STO with 8 unit cells. The n-type interface was simulated with TiO2 and LaO layers and the surface was terminated with a AlO2 layer.
The LAO4/STO was modeled with H, OH and H2O chemisorbed at the surface. These systems were constructed within a (√{square root over (2)}×√{square root over (2)})R45° surface symmetry. The relaxed atomic structures of LAO/STO system with −OH and H2O adsorbed on the AlO2-terminated surface are shown in
For quantitative analysis of band bending at the surface (interface) an effective one-electron potential and the corresponding charge carrier density are solved self consistently using the Poisson equation and Schrodinger equation (King P D C, 2008; Biscaras J, 2012; Su S, 2013). Described below is the procedure used for the self-consistent Poisson-Schrodinger method:
Here DOS2D is the two dimensional density of states and fFD(E) is the Fermi-Dirac distribution function.
where δz is the resolution, and finally the total volume carrier density is determined from
Ne=NE
Similar steps are followed to determine the hole volume density Np.
∇·|ε0εr(F)F|=q[ND−NA−Ne(z)+Np(z)]
The limit of integration is the backside of the STO substrate with F=0 since there is no gate voltage applied, and at the interface we impose the condition of continuous electric displacement. The band profiles are thus obtained by integrating F over STO and LAO. In the P—S calculations we assume a clean interface and do not a priori include any defects, impurities and cation intermixing: the contributions to ND and NA are solely from charged layers of LaO and AlO2 (
E(z)in−ith=0.98E(z)in−(i−1)th+0.02E(z)out−(i−1)th
The iteration is terminated when the difference of each step along the band is lower than 0.5 meV in STO and 1 meV in LAO between two successive iterations. The well depth, defined as the length from the interface to where EF (dashed line) intersects with the conduction band, is about 7 nm and tightly confined to the interface. The confinement could be ascribed to the low permittivity controlled by the strong local field at the interface. Results of the P—S calculations are shown in
STO and Comparison With 10 u.c. LAO/STO; Dependence on Incident Intensity
Photoluminescence spectra from 4.2K<T<300K were also collected from STO single-crystal substrates under the same conditions as those for the 10 u.c. LAO/STO: pristine bare STO and STO samples that have undergone all of the annealing steps prior to the typical LAO film growth, and from substrates exposed to water vapor (
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This application claims priority to U.S. Provisional Application No. 61/970,549, filed Mar. 26, 2014, the entire contents of which are incorporated herein by reference.
The subject matter disclosed herein was made with government support under award/contract/grant number NSF DMR 1124696, awarded by the U.S. National Science Foundation. The Government has certain rights in the herein disclosed subject matter.
Filing Document | Filing Date | Country | Kind |
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PCT/US2015/021983 | 3/23/2015 | WO | 00 |
Number | Date | Country | |
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61970649 | Mar 2014 | US |