Spin–orbit gauge and quantum spin Hall effect

2008/10/30 by B. Basu, Banasri Basu, P. Bandyopadhyay · 10 citations
Materials Science · Physics and Astronomy · #Condensed matter physics #Electron #Gauge boson #Gauge fixing #Gauge theory #Graphene research and applications #Hamiltonian (control theory) #Landau quantization #Magnetic field #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum gauge theory #Quantum mechanics #Quantum spin Hall effect #Spin (aerodynamics) #Spin Hall effect #Spin polarization #Spins #Spin–orbit interaction #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1016/j.physleta.2008.10.077

published in Physics Letters A 373(1), 148-151 (Elsevier BV) · To appear in Physics Letters A

arxiv created 2008/10/30 · openalex publication_date 2008/11/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We have shown that the non-Abelian spin-orbit gauge field strength of the Rashba and Dresselhaus interactions, when split into two Abelian field strengths, the Hamiltonian of the system can be re-expressed as a Landau level problem with a particular relation between the two coupling parameters. The quantum levels are created with up and down spins with opposite chirality and leads to the quantum spin Hall effect.

Citations

• Oscillatory effects and the magnetic susceptibility of carriers in inversion layers
• Non-Abelian gauge field theory of the spin-orbit interaction and a perfect spin filter
• Spin-Orbit Coupling Effects in Zinc Blende Structures
• Universal Intrinsic Spin Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature