Quasi-stationary states of electrons interacting with strong electromagnetic field in two-barrier resonance tunnel nano-structure

Tkach Tkach,Seti Seti,Voitsekhivska Voitsekhivska

doi:10.5488/cmp.15.33703

Abstract

An exact solution of non-stationary Schrodinger equation is obtained for a one-dimensional movement of electrons in an electromagnetic field with arbitrary intensity and frequency. Using it, the permeability coefficient is calculated for a two-barrier resonance tunnel nano-structure placed into a high-frequency electromagnetic field. It is shown that a nano-structure contains quasi-stationary states the spectrum of which consists of the main and satellite energies. The properties of resonance and non-resonance channels of permeability are displayed.

Highlights

An intensive investigation of resonance tunnel structures (RTSs) is caused by their utilization in nanodevices having unique physical characteristics [1,2,3,4,5,6,7], and are widely used in medicine, environment monitoring and communication systems
In order to clarify the effect of strong electromagnetic fields on the spectra of electrons and their tunnel through the RTS, an approximated iterating method was used for the two-level model of a nanosystem [14, 15] and a numeric method was used for a multi-level model of periodical structures [16, 17]
We propose an exact analytical solution of one-dimensional non-stationary Schrodinger equation obtained for the first time with the Hamiltonian of a system containing linear and square terms both over the electron kinetic momentum and vector potential of electromagnetic field

Summary

Introduction

An intensive investigation of resonance tunnel structures (RTSs) is caused by their utilization in nanodevices having unique physical characteristics [1,2,3,4,5,6,7], and are widely used in medicine, environment monitoring and communication systems. We propose an exact analytical solution of one-dimensional non-stationary Schrodinger equation obtained for the first time with the Hamiltonian of a system containing linear and square terms both over the electron kinetic momentum and vector potential of electromagnetic field.

Results

Conclusion