Coherent electron transparent tunneling through a single barrier within a Fabry-Perot cavity

Stolle, Jason; Baum, Chaz; Amann, Ryan; Haman, Ryan; Call, Tanner; Li, Wei

doi:10.1016/j.spmi.2016.04.044

Cited by 7 publications

(5 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where p = 2m(E − h F P ) for a rectangular barrier of height h F P , m is the effective mass of the tunnel barrier, h is the Planck's constant, E is the electron energy and λ is the reference wavelength (here, the wavelength of the well region on both sides of the tunnel barrier). The refractive index n is thus given by [36,37]…”

Section: Cavity Physics and Transmission Functionmentioning

confidence: 99%

Electronic Fabry-Perot Cavity Engineered Nanoscale Thermoelectric Generators

Mukherjee

Muralidharan

2019

Phys. Rev. Applied

View full text Add to dashboard Cite

In this work, we aim to design a heterostructure based nanoscale thermoelectric generator that can maximize the waste-heat conversion efficiency at a given output power. The primary objective to be achieved for this is to realize a boxcar-shaped (bandpass) electronic transmission function (R. S. Whitney, Phys. Rev. Lett. 112, 130601 (2014)). In order to achieve that, we propose the use of an electronic analog of optical Fabry-Pérot cavity over a central resonant tunneling structure. We further explore the optimum design possibilities by varying the geometry of the cavity wall to ensure a nearly perfect bandpass energy filtering of electrons. Based on our findings, we propose a general design guideline to realize such transmission and demonstrate that such devices can be excellent thermoelectric generators compared to the existing proposals in terms of boosting the output power without a cost in efficiency. It is theoretically demonstrated using the non-equilibrium Green's function technique coupled with self-consistent charging effects that an enhancement in the maximum output power up to 116% can be achieved through this scheme at a 10% higher efficiency as compared to resonant tunneling based devices. Furthermore, an elaborate comparative study of the linear response parameters is also presented and explained in terms of the physical transport properties. This study suggests an optimal device design strategy for an improved thermoelectric generator and sets the stage for a new class of thermoelectric generators facilitated via transmission lineshape engineering. arXiv:1902.07547v2 [cond-mat.mes-hall]

show abstract

Section: Cavity Physics and Transmission Functionmentioning

confidence: 99%

Electronic Fabry-Perot Cavity Engineered Nanoscale Thermoelectric Generators

Mukherjee

Muralidharan

2019

Phys. Rev. Applied

View full text Add to dashboard Cite

show abstract

“…An optical analogy 11 of Schrodinger waves propagating in one dimension from a region of fixed potential energy V 0 (the incident medium) into a region of varying potential energy V can be set up. The region with potential energy V has an equivalent refractive index (complex) given by: where m is the effective mass of the electron inside the region of potential energy V , and m 0 is the mass of the electron in the incident medium.…”

Section: The Analogy Between Schrodinger Wave Mechanics and Electromamentioning

confidence: 99%

“…The coating of an optical element with layers of selected refractive index and thickness can be used to suppress reflections, to induce transmission and to create band pass filters. The design of structures that show enhanced transmission for matter waves is also possible and the fabrication of resonant structures with the properties of a Fabry-Perot interferometer 10 , 11 consisting of two identical barriers separated by a region of constant potential, has already been implemented in the resonant tunnelling or Esaki diode. The resonant cavity idea is not well suited to antireflection of general barriers, because of its inconvenient reliance on the symmetry of two participating barriers.…”

Section: Introductionmentioning

confidence: 99%

“…The matrix methods of thin film optics have an analogous approach in Schrodinger wave mechanics known as the transfer matrix method 11 , 23 , an exact approach for calculating transmission of an incident plane wave through a region of spatially varying potential. Using this method, optical thin film interference filter designs have been transferred into multilayer electron wave filters as discussed by Gaylord and Brennan 5 , using layers that take the form of a potential well (a barrier of negative potential) relative to the potential describing the incident medium, in keeping with the analogy between potential in the Schrodinger equation and the refractive index of conventional media well known in optics.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Antireflection coating of barriers to enhance electron tunnelling: exploring the matter wave analogy of superluminal optical phase velocity

Zhao

McKenzie

2017

Sci Rep

View full text Add to dashboard Cite

The tunnelling of electrons through barriers is important in field emission sources and in interconnects within electronic devices. Here we use the analogy between the electromagnetic wave equation and the Schrodinger equation to find potential barriers that, when added before an existing barrier, increase the transmission probability. A single pre-barrier of negative potential behaves as a dielectric “antireflection coating”, as previously reported. However, we obtain an unexpected and much greater enhancement of transmission when the pre-barrier has a positive potential of height smaller than the energy of the incident electron, an unfamiliar optical case, corresponding to media with superluminal phase velocities as in dilute free electron media and anomalous dispersion at X-ray frequencies. We use a finite difference time domain algorithm to evaluate the transmission through a triangular field emission barrier with a pre-barrier that meets the new condition. We show that the transmission is enhanced for an incident wavepacket, producing a larger field emission current than for an uncoated barrier. Examples are given of available materials to enhance transmission in practical applications. The results are significant for showing how to increase electron transmission in field emission and at interconnects between dissimilar materials in all types of electronic devices.

show abstract

“…Another approach is the transfer matrix (TM) method. This method is often used in the field of modeling semiconductor materials and optoelectronic devices as a computational method for solving the 1-dimensional Schrödinger equation. − Effective mass is also included in the Schrödinger equation describing the motion of the electron. In this method, the original potential is divided into a series of rectangular barriers, and the wavefunctions for each sliced barrier are solved.…”

Section: Introductionmentioning

confidence: 99%

Tunneling Effect in Proton Transfer: Transfer Matrix Approach

Umesaki

Odai

2023

J. Phys. Chem. A

View full text Add to dashboard Cite

The transfer matrix (TM) method was applied to calculate the transmission probability (TP) for proton transfer reactions. The tunneling factors in the reaction rate constants were also evaluated using the TPs. To test this method, TPs for the Eckart potentials modeled as a guanine–cytosine base pair were calculated by the TM method and compared to TPs by the analytical solution. As a result, the errors in the TPs by the TM method were quite small. The tunneling factors for the guanine–thymine (G-T) and adenine–cytosine (A-C) mispair reactions were then evaluated by the TM method. A shoulder appears on each potential for these reactions [Odai, K.; Umesaki,K. J. Phys. Chem. A. 2021, 125, 8196–8204]. As a result, the shoulder for the G-T mispair reaction contributes significantly to the tunneling, while the shoulder for the A-C mispair reaction contributes little to the tunneling. These results are difficult to obtain with methods such as Wigner’s tunneling factor.

show abstract

Coherent electron transparent tunneling through a single barrier within a Fabry-Perot cavity

Cited by 7 publications

References 11 publications

Electronic Fabry-Perot Cavity Engineered Nanoscale Thermoelectric Generators

Electronic Fabry-Perot Cavity Engineered Nanoscale Thermoelectric Generators

Antireflection coating of barriers to enhance electron tunnelling: exploring the matter wave analogy of superluminal optical phase velocity

Tunneling Effect in Proton Transfer: Transfer Matrix Approach

Contact Info

Product

Resources

About