Photon-assisted electron transmission resonance through a quantum well with spin-orbit coupling

Abstract

Using the effective-mass approximation and Floquet theory, we study the electron transmission over a quantum well in semiconductor heterostructures with Dresselhaus spin-orbit coupling and an applied oscillation field. It is demonstrated by the numerical evaluations that Dresselhaus spin-orbit coupling eliminates the spin degeneracy and leads to the splitting of asymmetric Fano-type resonance peaks in the conductivity. In turn, the splitting of Fano-type resonance induces the spin-polarizationdependent electron-current. The location and line shape of Fano-type resonance can be controlled by adjusting the oscillation frequency and the amplitude of external field as well. These interesting features may be a very useful basis for devising tunable spin filters. [5,6]. In recent years, Fano-type resonances have been reported to appear also in the experiments on electron transport through mesoscopic systems. Fano-type resonances in electronic transport through a single-electron transistor allow one to alter the interference between the two paths by changing the voltages on various gates [7]. Reference[8] reported the first tunable Fano experiment in which a well-defined Fano system is realized in an Aharonov-Bohm(AB) ring with a quantum dot(QD) embedded in one of its arms, which is the first convincing demonstration of this effect in mesoscopic systems. The Fano effect in a quantum wire with a side-coupled quantum dot occurs in a way different *

Spin orbit splitting of the photon induced Fano resonance in an oscillating graphene electrostatic barrier

“…Furthermore, the study of charge transport in a periodically driven tunneling system demands special interest particularly because, such a system could exhibit the Fano Resonance (FR) 36 that arises due to quantum interference between the continuum and the bound states and carries a signature of tunneling quasi-bound states. The Fano Resonance was also found earlier for the transmission of electrons through a dynamic quantum well both for the conventional heterostructure (with and without the SOI) [37][38][39][40][41] and the graphene 42 (without SOI) as well as through a graphene dynamic quantum barrier without the SOI 43 . The sinusoidally varying time dependent field of the dynamic quantum well or barrier causes photon induced bound-continuum transition of the electron with matching incident energy, leading to the appearance of the asymmetric FR in the transmission spectra.…”

“…Most of the earlier works on the spin dependent electronic transport in graphene considered the SOI under the static condition of the system. Although the spin dependent tunneling transport through a periodically driven system exists for the conventional heterostructures 38 , no such work is available in the literature as yet for the cases of graphene quantum well or barrier structures. This motivated us to study the spin dependent transmission through a graphene electrostatic barrier under the periodically driven condition taking into account the effect of the Rashba spin orbit interaction.…”

Beating oscillation and Fano resonance in the laser assisted electron transmission through graphene δ-function magnetic barriers

“…The laser assisted electronic transport was studied for the quantum resonant tunnelling structures using conventional semiconductor heterostructures [44][45][46][47] as well as for the graphene [48][49][50][51][52][53] . It was already reported from the band structure calculations that the resonant interaction of the Dirac fermions in graphene with the external electromagnetic (EM) field leads to the formation of a dynamical gap between the conduction and the valence band in the quasi-particle energy spectrum that can be controlled by changing the intensity and the frequency of the EM field 32,49 .…”

Spin-polarized electron transmission resonance through a driven quantum well with spin-orbit coupling

“…The applied homogeneous oscillating field in spin-orbit coupling region which provides a feasible scheme of controlling the spin-dependent transport through the system, induces mixing of the continuum and bound states and leads to the splitting of asymmetric Fano-type resonance. 18,19 As is well known, the more practical oscillation type is dipole oscillation in most of the experimental setup, and the dipole type is easier to exploit experimentally than the spatially uniform field. In this paper, we investigate the spin-dependent electron transmission through a quantum well in semiconductor heterostructures with dipole-type oscillation field and homogeneous oscillation field.…”