Abstract

We present a theoretical study on the effect of radiation on the mangetoresistance of two-dimensional electron systems with strong Rashba spint-orbit coupling. We want to study the interplay between two well-known effects in these electron systems: the radiation-induced resistance oscillations and the typical beating pattern of systems with intense Rashba interaction. We analytically derive an exact solution for the electron wave function corresponding to a total Hamiltonian with Rashba and radiation terms. We consider a perturbation treatment for elastic scattering due to charged impurities to finally obtain the magnetoresistance of the system. Without radiation we recover a beating pattern in the amplitude of the Shubnikov de Hass oscillations: a set of nodes and antinodes in the magnetoresistance. In the presence of radiation this beating pattern is strongly modified following the profile of radiation-induced magnetoresistance oscillations. We study their dependence on intensity and frequency of radiation, including the teraherzt regime. The obtained results could be of interest for magnetotransport of nonideal Dirac fermions in 3D topological insulators subjected to radiation.

Highlights

  • Radiation-induced resistance oscillations (RIRO) and zero resistance states (ZRS)[1,2] are remarkable phenomena in condensed matter physics that reveal a novel scenario in radiation-matter coupling

  • The current or future theoretical models dealing with RIRO or ZRS have to confront with the available experimental results to prove how good and accurate they are

  • For instance RIRO and ZRS obtained on different semiconductor platforms other than GaAs, the most extensively platform used in this kind of experiments

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Summary

Theoretical Model

We consider a 2DES in the x–y plane with strong Rashba coupling subjected to a static and perpendicular B and a DC electric field parallel to the x direction. The. Schrodinger equation corresponding to the Hamiltonian H0 can be exactly solved and the resulting states are labeled by the quantum number N. The corresponding wave function for the + branch is, ψN+ =. Wc and φ is the normalized quantum harmonic oscillator wave function, i.e., Landau state, N being the corresponding Landau level index. According to these results the Rashba spin-orbit interaction mixes spin-down and spin-up states of adjacent Landau levels to give rise to two new energy branches of eigenstates of the Hamiltonian H0. Being E the energy, ρi(E) the density of initial states and f(E) the electron distribution function.

Rule WI is given by
Rxx we use the sum of cosine
Tc the
Results and Discussion
Additional Information

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