Landau level mixing by full spin-orbit interactions

Abstract

We study a two-dimensional electron gas in a perpendicular magnetic field in the presence of both Rashba and Dresselhaus spin-orbit interactions. Using a Bogoliubov transformation we are able to write an approximate formula for the Landau levels, thanks to the simpler form of the resulting Hamiltonian. The exact numerical calculation of the energy levels, is also made simpler by our formulation. The approximate formula and the exact numerical results show excellent agreement for typical semiconductors, especially at high magnetic fields. We also show how effective Zeeman coupling is modified by spin-orbit interactions.

5 pages, 5 figures

References in corpus (16)

• Universal Intrinsic Spin-Hall Effect
• Non-ballistic spin field-effect transistor
• Gate-Controlled Spin-Orbit Quantum Interference Effects in Lateral Transport
• Experimental Separation of Rashba and Dresselhaus Spin-Splittings in Semiconductor Quantum Wells
• Giant Spin Relaxation Anisotropy in Zinc-Blende Heterostructures
• Spin-Hall transport of heavy holes in III-V semiconductor quantum wells
• Conduction band spin splitting and negative magnetoresistance in ${\mathrm{A}}_3{\mathrm{B}}_5$ heterostructures
• Spin and Polarized Current from Coulomb Blockaded Quantum Dots
• Sum rules for spin-Hall conductivity cancelation
• Spin-Hall and spin-diagonal conductivity in the presence of Rashba and Dresselhaus spin-orbit coupling
• Gate control of spin dynamics in III-V semiconductor quantum dots
• Semiconductor few-electron quantum dot operated as a bipolar spin filter
• Variational study of the nu=1 quantum Hall ferromagnet in the presence of spin-orbit interaction
• Anisotropic spin splitting and spin relaxation in asymmetric zinc-blende semiconductor quantum structures
• Anisotropic electron g-factor in quantum dots with spin-orbit interaction
• Magnetotransport in Two-Dimensional Electron Systems with Spin-Orbit Interaction

Cited by in corpus (14)

• Linear magnetoresistance on the topological surface
• Energy spectra for quantum wires and 2DEGs in magnetic fields with Rashba and Dresselhaus spin-orbit interactions
• Spin Hall effect in two-dimensional $p$-type semiconductors in a magnetic field
• Exact Landau Levels in Two-Dimensional Electron Systems with Rashba and Dresselhaus Spin-Orbit Interactions in a Perpendicular Magnetic Field
• Spin Hall effect in a two-dimensional electron gas in the presence of a magnetic field
• Quantum Hall ferromagnetic states and spin-orbit interactions in the fractional regime
• Magnetic breakdown of cyclotron orbits in systems with Rashba and Dresselhaus spin-orbit coupling
• Chaotic cyclotron and Hall trajectories due to spin-orbit coupling
• Quantum oscillations in 2D electron gases with spin-orbit and Zeeman interactions
• Magnetization of the Metallic Surface States in Topological Insulators
• Quantum dot with spin-orbit interaction in noncommutative phase space and analog Landau levels
• Magnetotransport of a 2DEG with anisotropic Rashba interaction at the LaAlO${}_3$/SrTiO${}_3$ interface
• Semiclassical Landau quantization of spin-orbit coupled systems
• Kondo effect in a two-dimensional electron gas in the Persistent Spin Helix regime