Generalized Rashba Coupling Approximation to a Resonant Spin Hall Effect of the Spin–Orbit Coupling System in a Magnetic Field  

作　　者：Rui Zhang Yuan-Chuan Biao Wen-Long You Xiao-Guang Wang Yu-Yu Zhang Zi-Xiang Hu 张蕊;彪元川;尤文龙;王晓光;张瑜瑜;胡自翔(Department of Physics,Chongqing University,Chongqing 400044,China;College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China;Department of Physics,Zhejiang University,Hangzhou 310027,China)

机构地区：[1]Department of Physics,Chongqing University,Chongqing 400044,China [2]College of Science,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China [3]Department of Physics,Zhejiang University,Hangzhou 310027,China

出　　处：《Chinese Physics Letters》2021年第7期122-129,共8页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.12075040,11875231,11974064,and 12047564);the Chongqing Research Program of Basic Research and Frontier Technology(Grant No.cstc2020jcyj-msxmX0890).

摘　　要：We introduce a generalized Rashba coupling approximation to analytically solve confined two-dimensional electron systems with both the Rashba and Dresselhaus spin–orbit couplings in an external magnetic field.A solvable Hamiltonian is obtained by performing a simple change of basis,which has the same form as that with only Rashba coupling.Each Landau state becomes a new displaced-Fock state instead of the original Harmonic oscillator Fock state.Analytical energies are consistent with the numerical ones in a wide range of coupling strength even for a strong Zeeman splitting,exhibiting the validity of the analytical approximation.By using the eigenstates,spin polarization correctly displays a jump at the energy-level crossing point,where the corresponding spin conductance exhibits a pronounced resonant peak.As the component of the Dresselhaus coupling increases,the resonant point shifts to a smaller value of the magnetic field.In contrast to pure Rashba couplings,we find that the Dresselhaus coupling and Zeeman splittings tend to suppress the resonant spin Hall effect.Our method provides an easy-to-implement analytical treatment to two-dimensional electron gas systems with both types of spin–orbit couplings by applying a magnetic field.

关 键 词：field COUPLING RESONANT 

分 类 号：O469[理学—凝聚态物理]