The invention pertains to the field of semiconductor devices. More particularly, the invention pertains to fabricating of quantum dot and quantum wire structures for semiconductor device applications.
Quantum Dot (QD) and quantum wire (QWW, abbreviation from “quantum well wire”) heterostructures are presently broadly used in multiple applications, particularly in the field of electronic and opto-electronic devices. In the field of light-emitting devices QDs allow extending the spectral range of the devices using the same substrates, allowing growth of epitaxial structures for light-emitting devices on severely lattice-mismatched substrates, and creating novel devices such as intra-level infrared emitters and detectors. QDs improve the high-speed performance of the devices, for example, mode-locked lasers and allow exploring fundamentally new quantum phenomena like single photon emission of Coulomb blockade to be applied in continuously shrinking nanoelectronic devices.
In semiconductor lasers and light emitting diodes the most widely used approach for formation of QD heterostructures is Stranski-Krastanow growth (a review of the formation of QD heterostructures in the Stranski-Krastanow growth mode can be found in the review paper by V. Shchukin et al. “Spontaneous ordering of nanostructures on crystal surfaces”, Review of Modern Physics, volume 71, issue 4, pages 1125-1171, July 1999, which is herein incorporated by reference). In the Stranski-Krastanow growth mode, a semiconductor layer (for example, InAs) lattice-mismatched to the single crystalline substrate (for example, GaAs) is initially formed. This layer is stable until some critical thickness is reached. At this thickness the strain energy accumulated in the layer becomes significant and it becomes energetically favorable for the material to relax elastically by forming three-dimensional islands on the surface. The energy benefit due to elastic energy relaxation of the three-dimensional (3D) islands exceeds the energy loss due to excess surface related to the islands. Once the islands are formed they may grow in size to reduce the surface area by ripening or coalescence. Elastic stress relaxation at the edges of the islands and the relaxation-reduced modification of the surface energy may slow down the ripening process and/or lead to the formation of a thermodynamically stable island distribution in sizes, wherein such island distribution does not ripen further. However, any defect on the surface or inside an island, for example, inevitable steps and step bunches can break the size stabilization and result in formation of large three-dimensional islands (that can also be termed clusters) which undergo plastic relaxation and thus are dislocated, i.e. contain defects deteriorating the device performance. Defect reduction techniques have been introduced to improve the crystalline quality in such structures which can be found in the patent “SEMICONDUCTOR DEVICE AND METHOD OF MAKING SAME” U.S. Pat. No. 6,653,166, filed May 9, 2001, issued Nov. 23, 2003, by N. Ledentsov, one of the inventors of the present invention, and in the patent “DEFECT-FREE SEMICONDUCTOR TEMPLATES FOR EPITAXIAL GROWTH AND METHOD OF MAKING SAME”, U.S. Pat. No. 6,784,074, filed Jun. 6, 2003, issued Aug. 31, 2004, by the inventors of the present invention, which are herein incorporated by reference. However, as a broad range of crystalline defects can be formed, a significant portion of defects may still remain and adversely affect the performance of the devices based on quantum dots. Thus there exists a strong motivation to find a way of fabrication of quantum dot and quantum wire nanostructures in an approach alternative to conventional Stranski-Krastanow growth.
A method for fabrication of three-dimensional nanostructures on top of the surface of a first solid state material is disclosed, which includes steps of (i) deposition of a layer of a second solid state material forming a stable layer-like coverage of the surface, (ii) the subsequent deposition of a third solid state material, having a stronger binding energy with the first solid state material than the second solid state material, (iii) wherein the third solid state material replaces the second solid state material forming an interface with the first material and thus reduces the energy of the system, and (iv) where the resulting excess second solid state material forms three-dimensional nanostructures. The structure can be covered with another (fourth) solid state material, which eventually can be the same as the first material or a different one, and the three dimensional nanostructures form capped quantum dots or quantum wires. The deposition steps can be repeated and extended to provide necessary functionality in the resulting device structure.
Prior art: Stranski-Krastanow growth. (a) Layer growth of an epitaxial material lattice-mismatched to the underlying substrate material, (b) once the critical thickness is reached, 3D islands become energetically favorable and form on top of the residual wetting layer and some islands may undergo ripening.
Prior art: Stranski-Krastanow growth. (a) Layer growth of an epitaxial material lattice-mismatched to the underlying substrate material and having a thickness below the critical one remains stable (b) after being capped with the substrate material. As opposite once the critical thickness is reached (c) 3D islands are formed with some islands growing in size and generating defects. After overgrowth (d) these islands remain and represent a source for dislocations deteriorating the device performance.
Formation of 3D islands according to an embodiment of the present invention. On a surface of a single crystalline substrate (i) a wetting layer of a second material (filled circles) is formed (ii). This layer is not lattice mismatched to the substrate or, if mismatched, its thickness is below the critical thickness and thus the layer is stable with respect to formation of 3D islands with their following ripening. When the layer of a third material having a stronger binding energy with the substrate material (cross-hatched circles) is deposited (iii) it trends to replace the initial layer of the second material to have the maximum number of stronger bonds between the atoms to be created, while leaving the dangling bonds of the atoms of the material with a weaker binding energy unsaturated.
Epitaxial growth sequence according to the present invention. (a) A stable epitaxial layer of a material 2 is formed on the crystal surface of a material 1. (b) The structure is covered by a material 3 having a stronger binding energy with the atoms of the substrate. (c) Material 3 replaces the underlying material 2 causing 3D islands of the material 2 to form. These islands are formed at a layer thickness below the critical one and do not undergo ripening. (d) Once the structure is covered with epitaxial layer of material 4 the islands of material 2 remain defect-free.
Demonstration of a possible formation mechanism of 3D islands of material 2 after the deposition of a layer of material 3. (a) A local fluctuation in the thickness of the layers of materials 2 and/or 3 enhances the exchange reactions. (b) Islands of material 2 are formed separated by the film of material 3. (c) Islands after the overgrowth by material 4.
Different surface patterns may be formed. (a) A cross section of a structure containing islands of material 2. (b) A plan view of the buried islands of material (2) forming dots embedded in a matrix. (c) A plan view of the buried islands of material 2 forming wires embedded in a matrix.
Arrays of 3D islands can be stacked in an uncorrelated (a), vertically-correlated (b) or anti-correlated (c) way.
An example of application of an array of 3D islands in a vertical cavity surface-emitting laser.
An example materials system: on a GaAs substrate a subcritical deposition of InAs is followed by deposition of AlAs. (a) A schematic view of a layer-like structure of InAs of subcritical thickness deposited on GaAs substrate. (b) A schematic view of a layer-like “sandwich” of 3 materials, AlAs on top of InAs on top of GaAs. (c) A schematic view of a structure formed as a result of the instability of a layer-like “sandwich” of
Three-dimensional (3D) nanostructures are presently widely used in devices of micro- and optoelectronics such as light-emitting diodes, lasers, infrared detectors and storage devices. In many cases 3D nanostructures used in nanophotonic and nanoelectronic devices are based on strained nanoislands spontaneously formed on semiconductor surface using lattice-mismatched growth.
In
It is also known that in prior art Stranski-Krastanow growth (see
However, such a situation can be avoided. Formation of 3D islands according to an embodiment of the present invention is shown in
A good estimate for the proper combination of materials is the enthalpy of formation. For example the enthalpy of formation of AlAs is much higher than the enthalpy of formation of InAs (as described in detail in the monograph by V. A. Shchukin, et al. “Epitaxy of Nanostructures”, Chapter 2, Springer, Berlin, (2003), wherein this monograph is herein introduced by reference). Thus a thin layer of InAs on GaAs surface may be effectively replaced by AlAs layer with “effective” InAs molecules being redistributed over the surface with formation of 3D islands (324) even in case where these islands have a relatively high surface energy and under other conditions are energetically unfavorable. For production of coherent nanostructures it is important that there is no driving force for ripening of such islands. As opposite if the AlAs layer would be removed, the islands would disappear by the formation of a wetting layer on the GaAs surface.
A one skilled in the art will appreciate that the formation of 3D islands of the third material as illustrated in
An alternative driving force of instability of a flat three-material “sandwich” structure is related to wetting/non-wetting effects for the third material deposited on top of the second material. Such instability occurs if the third material does not wet the second material, i. e.
γ3surface+γ32interface>γ2surface. (1)
Here γ3surface is the surface energy of the third material, γ2surface is the surface energy of the second material, and γ32interface is the energy of the interface between the third and the second materials.
A one skilled in the art will appreciate that the instability will also occur, if both driving forces are present in the same system.
The epitaxial growth sequence according to the present invention is presented in
A similar growth sequence can also occur in a materials system, in which the film of the third material on top of the second material is unstable due to non-wetting.
Another possible formation mechanism of 3D islands after the deposition of a layer (330) of the third material is shown in
Within the described mechanisms, different surface patterns may be formed, as it is shown in
Formation of 3D islands as disclosed can be repeated, and islands can form vertically stacked structures as shown in
One of the embodiments of the present invention is a vertical cavity surface emitting laser (800) as shown in
In another embodiment of the present invention the active medium contains multiple sheets of 3D islands, in accordance with
In yet another embodiment of the present invention the 3D islands are employed as an active medium in an edge-emitting laser.
In a further embodiment of the present invention the 3D islands are used as an active medium of a tilted wave laser disclosed in the US patents “EXTERNAL CAVITY OPTOELECTRONIC DEVICE”, U.S. Pat. No. 7,421,001, filed Jun. 16, 2006, issued Sep. 2, 2008, and “OPTOELECTRONIC DEVICE AND METHOD OF MAKING SAME”, U.S. Pat. No. 7,583,712, filed Jan. 3, 2007, issued Sep. 1, 2009, both by the inventors of the present inventions, wherein both patents are introduced herein by reference.
In another embodiment of the present invention, the 3D islands are used as an active medium of a tilted cavity laser disclosed in the US patent “TILTED CAVITY SEMICONDUCTOR LASER (TCSL) AND METHOD OF MAKING SAME”, U.S. Pat. No. 7,031,360, filed Feb. 12, 2002, issued Apr. 18, 2006, by the inventors of the present invention, wherein the patent is introduced herein by reference.
A one skilled in the art will appreciate that the active medium based on the 3D islands disclosed can be employed in a light emitting diode.
One another embodiment of the present invention includes the array of 3D islands as an active medium of a disk laser.
In yet another embodiment of the present invention the active medium based on an array of 3D islands is used in a single photon emitter.
A further embodiment of the present invention includes an emitter of entangled photons using an array of 3D islands as an active medium.
Another group of the embodiments of the present invention consists of electronic devices using arrays of three dimensional islands as disclosed. The possible devices include, but are not limited to quantum dot memory device, resonant tunneling device, Coulomb blockade device, and spintronic device.
Yet another embodiment includes an electronic or an optoelectronic device, wherein the 3D islands formed according to the present invention form, after capping, anti-dots creating a repulsive potential to carriers.
In yet another embodiment, the 3D islands are elongated and form, after capping, anti-wires creating a repulsive potential for carriers.
A one skilled in the art will appreciate that the materials combination GaAs/InAs/AlAs is an example combination of materials for which the proposed growth mechanism should occur. The relation between the surface energies of AlAs, GaAs, and InAs are summarized, e.g. in the journal publication by S. Mirbt et al., “A general rule for surface reconstructions of III-V semiconductors”, Surface Science, volume 422, pages L177-L 182 (1999), wherein this publication is introduced herein by reference. It is shown in this publication that
γAlAssurface>γInAssurface. (2)
As a typical difference in surface energies between AlAs and GaAs, between GaAs and InAs, between AlAs and InAs exceeds 10 meV/Å2, (ten milli electron Volt per Angstrom squared) and typical interface energies for III-V materials are of the value close to 1 meV/Å2 (as is shown in the journal publication of N. E. Christensen “Stability of GaAs/AlAs superlattices”, Solid State Communications, volume 68, issue 10, pages 959-962 (1988), wherein this publication is introduced herein by reference), then the criterion (1) holds for the deposition of AlAs on top of InAs. This means that material AlAs does not wet InAs, and the proposed mechanism is indeed expected to occur for GaAs/InAs/AlAs deposition.
As for the growth of InAs on the (001) surface of GaAs where the critical thickness for the formation of 3D islands is about 1.7 monolayers, then the preferred thickness of InAs deposition for the mechanism disclosed in the present invention is below 1.7 monolayers. (For the growth of III-V semiconductor materials the counting of 1 monolayer conventionally means 1 atomic layer of cations and 1 atomic layer of anions.)
Depending on particular growth conditions, an unstable “sandwich” of three materials like in
A one skilled in the art will appreciate that domains of a layer and islands shown as consisting of pure InAs and AlAs may also contain an alloy due to intermixing of both deposited materials with each other and/or with GaAs substrate.
The relation (2) also holds for the subsequent deposition of InAs and then of AlAs on other substrates than GaAs, e.g. on InP. Thus the proposed mechanism for the formation of 3D islands and, after capping, for the formation of quantum dots, will also occur for the InP/InAs/AlAs system.
It will be also appreciated by a one skilled in the art that the relation (2) between surface energies corresponds to a general chemical trend. Once two materials differ by one chemical element, and the two different chemical elements corresponding to two materials belong to the same group of the periodic system of elements, than the material containing the element with a lower number will have a larger bonding energy in the bulk and, correspondingly, a larger surface energy. Therefore, a similar growth mechanism is expected to occur for GaN substrates and the subsequent deposition of subcritical thickness of InN followed by the deposition of AlN. Another possibility includes using a substrate of GaN, depositing Ga1-xInxN as a second material, and Ga1-yAlyN as a third material. Further materials combinations are possible as well.
All publications, patents and patent applications mentioned in this specification are herein incorporated in their entirety by reference into the specification, to the same extent as if each individual publication, patent or patent application was specifically and individually indicated to be incorporated herein by reference. In addition, citation or identification of any reference in this application shall not be construed as an admission that such reference is available as prior art to the present invention.
Although the invention has been illustrated and described with respect to exemplary embodiments thereof, it should be understood by those skilled in the art that the foregoing and various other changes, omissions and additions may be made therein and thereto, without departing from the spirit and scope of the present invention. Therefore, the present invention should not be understood as limited to the specific embodiments set out above but to include all possible embodiments which can be embodied within a scope encompassed and equivalents thereof with respect to the feature set out in the appended claims.
This application claims an invention which was disclosed in Provisional Application No. 61/633,013, filed Feb. 3, 2012, entitled “Three-Dimensional Semiconductor Nanoheterostructure and Method of Making Same”. The benefit under 35 USC § 119(e) of the United States provisional application is hereby claimed, and the aforementioned application is hereby incorporated herein by reference.