2005/01/10 by X. F. Wang, P. Vasilopoulos · 3 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.72.085344
published as P.R.B 72, 085344 (2005).
arxiv created 2005/01/10 · openalex publication_date 2005/08/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The band structure and magnetotransport of a two-dimensional electron gas (2DEG), in the presence of the Rashba (RSOI) and Dresselhaus (DSOI) terms of the spin-orbit interaction and of a perpendicular magnetic field, is investigated. Exact and approximate analytical expressions for the band structure are obtained quantum mechanically and used to calculate the density of states (DOS) and the longitudinal magnetoresitivity assuming a Gaussian type of level broadening. The interplay between the Zeeman coupling and the two terms of the SOI is discussed. If the strengths \ensuremathα and \ensuremathβ, of the RSOI and DSOI, respectively, are equal and the g factor vanishes, the two spin states are degenerate and a shifted Landau-level structure appears in agreement with recent semiclassical results. With the increase of the difference \ensuremathα\text\ensuremath-\ensuremathβ, a beating pattern of the DOS and of the Shubnikov-de Haas oscillations appears distinctly different from that occurring when one of these strengths vanishes. For \ensuremathα⪢\ensuremathβ or \ensuremathα⪡\ensuremathβ the peaks in one wrap of the beating pattern occur at even filling factors of the 2DEG while in the next wrap they occur at odd filling factors. For \ensuremathα\ensuremath≈\ensuremathβ this transition occurs only if the spin splitting is larger than half the Landau energy.