2021/01/06 by Rui Zhang, Yuanchuan Biao, Yuan-Chuan Biao +7
Computer Science · Physics and Astronomy · #Condensed matter physics #Coupling (piping) #Electron #Ferromagnetism #Hamiltonian (control theory) #Landau quantization #Magnetic field #Materials science #Physics #Physics of Superconductivity and Magnetism #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Rashba effect #Spin Hall effect #Spin polarization #Spintronics #Spin–orbit interaction #Topological Materials and Phenomena #Zeeman effect #Zeeman energy #cond-mat.quant-gas
paper · pdf · doi:10.1088/0256-307x/38/7/077304
published as Chin. Phys. Lett. 2021, 38 (7): 077304 · 9 pages,3 figures
arxiv created 2021/01/06 · openalex publication_date 2021/01/06 · arxiv updated 2021/07/13 · openalex created_date 2021/08/16 · openalex updated_date 2026/08/05
When the Rashba and Dresslhaus spin-orbit coupling are both presented for a two-dimensional electron in a perpendicular magnetic field, a striking resemblance to anisotropic quantum Rabi model in quantum optics is found. We perform a generalized Rashba coupling approximation to obtain a solvable Hamiltonian by keeping the nearest-mixing terms of Laudau states, which is reformulated in the similar form to that with only Rashba coupling. Each Landau state becomes a new displaced-Fock state with a displacement shift instead of the original Harmonic oscillator Fock state, yielding eigenstates in closed form. Analytical energies are consistent with numerical ones in a wide range of coupling strength even for a strong Zeeman splitting. In the presence of an electric field, the spin conductance and the charge conductance obtained analytically are in good agreements with the numerical results. As the component of the Dresselhaus coupling increases, we find that the spin Hall conductance exhibits a pronounced resonant peak at a larger value of the inverse of the magnetic field. Meanwhile, the charge conductance exhibits a series of plateaus as well as a jump at the resonant magnetic field. Our method provides an easy-to-implement analytical treatment to two-dimensional electron gas systems with both types of spin-orbit couplings.