RELATIVISTIC CORRECTIONS TO BALLISTIC QUANTUM TUNNELING THROUGH Ga1−xAlxAs BARRIERS

Analytical solutions of a Dirac-type equation as effective mass equation. for electrons are obtained and by means of these solutions we have analytically calculated the relativistic transmission coefficient for quantum electron ballistic tunneling through Ga 1−x Al x As -GaAs single barriers. This solution for the transmission coefficient is applied to the tunnel injector of a hot electron device finding that relativistic corrections yield small but significant shifts in the transmittance-voltage characteristics.

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RELATIVISTIC CORRECTIONS TO ELECTRON DWELL TIME IN DOUBLE BARRIER HETEROSTRUCTURES

Modern Physics Letters B ◽

10.1142/s0217984991002240 ◽

1991 ◽

Vol 05 (28) ◽

pp. 1865-1872

Author(s):

H. CRUZ

Keyword(s):

Analytical Solutions ◽

Transfer Matrix Method ◽

Dwell Time ◽

Electron Tunneling ◽

Type Equation ◽

Wave Functions ◽

Relativistic Wave ◽

Double Barrier ◽

Method Of Calculation ◽

Relativistic Corrections

In this work, we have studied relativistic corrections to electron tunneling in double barrier heterostructures through analytical solutions of a Dirac-type equation as effective-mass equation for electrons in the conduction band. It is found that relativistic wave functions for electrons give us small but significant shifts in the electron dwell time obtained through a transfer matrix method of calculation.

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On the Absoluteness of Time

Applied Physics Research ◽

10.5539/apr.v9n3p46 ◽

2017 ◽

Vol 9 (3) ◽

pp. 46

Author(s):

Carmine Cataldo

Keyword(s):

Analytical Solutions ◽

Relativistic Corrections ◽

Mean Lifetime ◽

The Mean

This paper aims to qualitatively summarize the results up until now obtained in investigating the compatibility between the absoluteness of time and several well-known phenomena, such as the alleged increase of the mean lifetime of muons and the so-called relativistic corrections for GPS, whose explanation is commonly provided by resorting to Einstein’s Relativity. To make the discussion more flowing, we have herein preferred to completely avoid the writing of equations. All the analytical solutions, as well as several explicative figures, can be found in the first six articles cited in the references, drafted by the same author of this manuscript.

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Weyl-Titchmarsh Matrix Functions and Spectrum of Non-selfadjoint Dirac Type Equation

Current Trends in Operator Theory and its Applications ◽

10.1007/978-3-0348-7881-4_24 ◽

2010 ◽

pp. 539-551 ◽

Cited By ~ 1

Author(s):

L. Sakhnovich

Keyword(s):

Type Equation ◽

Matrix Functions ◽

Dirac Type

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Calculation of Quantum Tunneling for a Spatially Extended Defect: The Dislocation Kink in Copper Has a Low Effective Mass

Physical Review Letters ◽

10.1103/physrevlett.86.1546 ◽

2001 ◽

Vol 86 (8) ◽

pp. 1546-1549 ◽

Cited By ~ 27

Author(s):

Tejs Vegge ◽

James P. Sethna ◽

Siew-Ann Cheong ◽

K. W. Jacobsen ◽

Christopher R. Myers ◽

...

Keyword(s):

Effective Mass ◽

Quantum Tunneling ◽

Extended Defect ◽

Spatially Extended

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Approximate Analytical Solutions of the Effective Mass Klein-Gordon Equation for Two Interacting Potentials

Sri Lankan Journal of Physics ◽

10.4038/sljp.v19i1.8042 ◽

2018 ◽

Vol 19 (1) ◽

pp. 1

Author(s):

Osarodion Ebomwonyi ◽

Atachegbe Clement Onate ◽

Michael C. Onyeaju ◽

Joshua Okoro ◽

Matthew Oluwayemi

Keyword(s):

Effective Mass ◽

Analytical Solutions ◽

Gordon Equation ◽

Approximate Analytical Solutions ◽

Klein Gordon ◽

Klein Gordon Equation

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Manifestation of the spontaneous parity-time symmetry breaking phase transition in hot-electron photodetection based on a tri-layered metamaterial

Nanophotonics ◽

10.1515/nanoph-2018-0207 ◽

2019 ◽

Vol 8 (3) ◽

pp. 495-504 ◽

Cited By ~ 1

Author(s):

Qiang Bai

Keyword(s):

Phase Transition ◽

Theoretical Model ◽

Symmetry Breaking ◽

Pt Symmetry ◽

Coupled Mode Theory ◽

Hot Electron ◽

Electron Device ◽

Coupled Mode ◽

Time Symmetry ◽

Existence Conditions

AbstractWe theoretically and numerically demonstrate that the spontaneous parity-time (PT) symmetry breaking phase transition can be realized respectively by using two independent tuning ways in a tri-layered metamaterial that consists of periodic array of metal-semiconductor Schottky junctions. The existence conditions of PT symmetry and its phase transition are obtained by using a theoretical model based on the coupled mode theory. A hot-electron photodetection based on the same tri-layered metamaterial is proposed, which can directly show the spontaneous PT symmetry breaking phase transition in photocurrent and possesses dynamical tunability and switchability. This work extends the concept of PT symmetry into the hot-electron photodetection, enriches the functionality of the metamaterial and the hot-electron device, and has varieties of potential and important applications in optoelectronics, photodetection, photovoltaics, and photocatalytics.

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