1Department of Physics, Chongqing University, Chongqing 400044, China 2College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China 3Department of Physics, Zhejiang University, Hangzhou 310027, China
Abstract：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.
. [J]. 中国物理快报, 2021, 38(7): 77304-.
Rui Zhang, Yuan-Chuan Biao, Wen-Long You, Xiao-Guang Wang, Yu-Yu Zhang, and Zi-Xiang Hu. Generalized Rashba Coupling Approximation to a Resonant Spin Hall Effect of the Spin–Orbit Coupling System in a Magnetic Field. Chin. Phys. Lett., 2021, 38(7): 77304-.
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2021, Vol. 38 
