Embodiments are generally related to micromechanical resonators. Embodiments are also related to nanoresonators. Embodiments are additionally related to methods for fabricating nanoresonators.
Microelectromechanical systems (MEMS) include mechanical and electrical components having dimensions in the order of microns or smaller. MEMS structures can be utilized in numerous applications including microsensors and microresonators. Micromechanical resonators have been widely studied for RF signal processing (e.g., oscillator, filter, and mechanical circuit) and for high-precision measurements (e.g., mass/chemical, force, position, and frequency). Vibrating RF MEMS resonators are widely studied for frequency selection in communication sub-systems because of their high quality factor (Q) and excellent stability against thermal variations and aging. Vibrating RF MEMS resonators can replace off-chip components and improve the system size, cost and power consumption. Such resonators in sizes of ten-micron have achieved very high quality factors for example, Q up to 10,000 to 100,000 in air at MHz-GHz frequencies, and are envisioned to replace the high-Q components in existing wireless systems.
Nanoscale structures are becoming increasingly important because they provide the basis for devices with dramatically reduced power and mass, while simultaneously possessing enhanced capabilities. Nanoscale mechanical structures hold the potential to enable the fabrication of high-Q mechanical resonators with high mechanical responsivity over a wide dynamic range. Such devices can form very low-loss, low-phase-noise oscillators for filters, local oscillators, and other signal processing applications. High-Q resonators are critical components in communications and radar systems, as well as in MEMS-based sensors such as a micro-gyroscope. The combination of high-Q with small force constants enabled by nanoscale resonators can also produce resonators with exceptional force sensitivity.
The resonator scaling from micro to nano size can provide significant advantages of multiple times or order of magnitude higher sensitivity, higher frequency, lower power, and higher density. The problem associated with the development of such nanoresonator (ex., nanowire resonator) is due to the reliable low-loss structure and fabrication. Also, such nanoresonator often results in large air damping losses and anchor losses that affects Q. In addition to anchor losses, air-damping forces create more losses when operating in atmosphere and hence further reduction in Q. Low-loss microresonator structures have been demonstrated using MEMS processes. However, it is not easy to fabricate a low-loss structure in 1 um or sub micron size utilizing prior art fabrication process because of the smaller size and multiple sub-micron-alignment needs.
Based on the foregoing it is believed that a need exists for an improved low-loss and high-Q nanoresonator device. A need also exists for an improved method for fabricating the high-Q nanoresonator device as described in greater detail herein.
The following summary is provided to facilitate an understanding of some of the innovative features unique to the embodiments disclosed and is not intended to be a full description. A full appreciation of the various aspects of the embodiments can be gained by taking the entire specification, claims, drawings, and abstract as a whole.
It is, therefore, one aspect of the present invention to provide for an improved high-Q nanoresonator device.
It is another aspect of the present invention to provide for an improved method for fabricating high-Q nanoresonator device.
The aforementioned aspects and other objectives and advantages can now be achieved as described herein. A nanoresonator device with high quality factor and method for fabricating the same is disclosed herein. The nanoresonator device generally includes an input electrode, an output electrode, a nanoresonator anchored at its motionless nodal points of its resonance modes by an anchor beam. The nanoresonator device can be fabricated on a wafer, such as a silicon insulator (SOI) wafer, which includes an insulating layer and a conductive layer formed on the insulating layer. The conductive layer can be comprised of several conductive materials to include heavily doped silicon layer. The nanoresonator can also be fabricated on other wafers with structure similar to SOI wafer, such as a wafer with top electrically-conductive layer above a middle insulation layer on the surface of a substrate. The nano structures with high quality factor can be patterned on a film utilizing nano fabrication tools and the patterned structures can be utilized as a mask to form permanent nano structures on the conductive layer of the wafer by reactive ion etching (RIE). The insulating layer can be removed to form the anchor beam and a cavity under the nano structures by wet etching utilizing an etching solution.
The nano structure can be patterned in a polymethylmethacrylate (PMMA) film or a ZEP film utilizing an electron beam lithography process. The nanoresonator comprises a disk structure or a ring structure with high quality factor and a diameter of sub micron or micron size. The high-Q nano structures can be fabricated utilizing nano fabrication tools such as E-beam lithography or focused ion beam (FIB) etching on conductive and insulating layers associated with a wafer. Anchor beams can provide electrical contact to the nanoresonator. The nanoresonator can be electrostatically driven into its radial contour resonant modes by the input electrodes. The small radial expansion and contraction amplitudes in the resonant modes greatly reduce the air damping and the motionless anchor beams minimize elastic wave radiation. Such nanoresonator device can provide significant advantages of multiple times or order of magnitude of higher sensitivity, higher frequency, lower power, and higher density.
The accompanying figures, in which like reference numerals refer to identical or functionally-similar elements throughout the separate views and which are incorporated in and form a part of the specification, further illustrate the embodiments and, together with the detailed description, serve to explain the embodiments disclosed herein.
a and 3b show photographs of SEM device views after E-beam lithography and top layer pattern formation by RIE etch, which can be implemented in accordance with a preferred embodiment, (a) a disk device (b) a ring device; and
The particular values and configurations discussed in these non-limiting examples can be varied and are cited merely to illustrate at least one embodiment and are not intended to limit the scope thereof.
Referring to the drawings and in particular to
The resonator disk 105 can be electrostatically driven into its radial contour resonant modes by the input electrode 110. The quality factor Q can be improved by anchoring the resonator disk 105 at the motionless nodal points of its resonance modes, such as the connection points of anchor beam 140. The small radial expansion and contraction amplitudes (e.g., ˜nm magnitude) in the resonance modes greatly reduce the air damping, while the motionless anchor points minimize elastic wave radiation. The geometry of the associated parameters for incorporating nano features to the high-Q nano disk resonator device 100 can be obtained by a fabrication process 400 as illustrated in
The mechanical design of the high-Q disk nano resonator device 100 includes a finite element modeling (FEM) simulation to identify the resonance frequency of the nano structure such as the resonator disk 105 and to extract the equivalent mass and effective stiffness of the structure from the kinetic energy integration. The resonance frequency of the nano disk/ring structures can be given by a simplified equation (ref [1-2]):
Where ρ, σ and E are the density, Poisson ratio, and young's modulus, respectively. α is a parameter that depends on the radius and resonator geometry. Rout is the outer radius of the disk/ring.
The insulating layer 220 described herein can be formed typically utilizing a silicon nitride (Si3N4) film or a silicon oxide (SiO2) film depending on fabrication method. The insulating layer 220 includes a cavity 240 and an optional center anchor 250 can also be formed therein. The center anchor 250 can be removed so that the resonator 105 is only suspended through support beam 140. The input electrode 110 for high-frequency signal input can be formed on the conductive silicon layer 230 on one side of the cavity 240, and the output electrode 120 for high-frequency signal output can be formed on the silicon layer 230 similarly. The resonator disk 105 can be formed above the center anchor 250 enclosed by the input electrode 110 and the output electrode 120 with the gap 145 therebetween. The optional SiO2 center anchor 250 allows more flexibility for later development and the resonator disk 105 may be more stable with the center anchor 250.
The air gap 145 spacing the input electrode 110 and the output electrode 120 from the resonator disk 105 can be formed to a thickness of 10 nm to 300 nm. A voltage of a predetermined frequency can be applied to the input electrode 110 and the resonator disk 105 supported by the support beam 140 resonates at a specific resonance frequency. This consequently varies capacitance of a capacitor ascribable to the air gap 145 which spaces the resonator disk 105 and the output electrode 120 and a signal of the capacitance is output from the output electrode 120. A high-frequency filter composed of this type of nano or micro resonator 100 can realize a higher Quality-factor.
The resonator device 100 can be measured utilizing a direct measurement method and a mixing measurement method. The direct measurement method can tolerate up to −62 dB of transmission loss caused by the impedance mismatch. In mixing measurement method, the device 100 can be driven by off-resonance signals for example, an RF signal and a carrier signal which mix through a capacitive transducer nonlinearly to generate a driving force at the difference frequency. If the difference frequency is equal to the resonance frequency, then the resonator device 100 can be driven into vibration. Because none of the input signals is at the resonance frequency, no direct feed through is expected at this frequency, and output currents at this frequency are much less affected by large motional impedance. The mixing technique allows measurement of a substantially cleaner resonance spectrum by suppressing feed through, thus providing more accurate data to characterize the resonator device 100, especially for devices to operate at high frequencies.
Next, the metal line and bond pads can be formed for electrical connection and can be connected to the electrodes 110 and 120, as shown at block 425. The insulating layer 220 can be removed to form optional center anchor 250 and cavity 240 by wet etching, as depicted at block 430. Etching agents for the insulating layer, such as BHF (buffered hydrogen fluoride), can be utilized to wet etch insulating layer 220 by totally removing the insulating layer 220 in the bottom of the resonator disk 105 or forming the bottom center anchor 250. The resonator disk 105 can be formed on the center anchor 250 between the input electrode 110 and the output electrode 120, which forms the gap 145 therebetween. Step 430 can complete the process, but multi atomic layers of high K dielectrics such as TiO2 (titanium dioxide) can be optionally deposited onto the device, as illustrated at block 435, to reduce the motional resistance.
A device picture after atomic layer deposition of TiO2 is shown in
It will be appreciated that variations of the above-disclosed and other features and functions, or alternatives thereof, may be desirably combined into many other different systems or applications. Also that various presently unforeseen or unanticipated alternatives, modifications, variations or improvements therein may be subsequently made by those skilled in the art which are also intended to be encompassed by the following claims.