Sum rules for spin Hall conductivity cancellation

2004/09/18 by Emmanuel I. Rashba, É. I. Rashba · 4 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Conductivity #Cyclotron #Electron #Hamiltonian (control theory) #Magnetic field #Magnetic properties of thin films #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Scattering #Spin (aerodynamics) #Zeeman effect #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.70.201309

4 pages, 1 figure

arxiv created 2004/09/18 · openalex publication_date 2004/11/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

It has been shown recently that the universal dc spin conductivity of two-dimensional electrons with a Rashba spin-orbit interaction is canceled by vertex corrections in a weak scattering regime. We prove that the zero bulk spin conductivity is an intrinsic property of the free-electron Hamiltonian and scattering is merely a tool to reveal this property in terms of the diagrammatic technique. When Zeeman energy is neglected, the zero dc conductivity persists in a magnetic field. Spin conductivity increases resonantly at the cyclotron frequency and then decays towards the universal value.

Citations

• Spin Current and Polarization in Impure Two-Dimensional Electron Systems with Spin-Orbit Coupling
• Gigahertz Electron Spin Manipulation Using Voltage-Controlled g-Tensor Modulation
• Spin Hall and spin-diagonal conductivity in the presence of Rashba and Dresselhaus spin-orbit coupling
• Spin Hall effect and Berry phase in two-dimensional electron gas
• Theory of spin-charge-coupled transport in a two-dimensional electron gas with Rashba spin-orbit interactions
• Spintronics: Fundamentals and applications
• Spin-Orbit Coupling Effects in Zinc Blende Structures
• Universal Intrinsic Spin Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Spin-current generation and detection in the presence of an ac gate
• Resonant Spin Hall Conductance in Two-Dimensional Electron Systems with a Rashba Interaction in a Perpendicular Magnetic Field

Cited by

• Spin‐orbit interaction in a two‐dimensional electron gas: A SU(2) formulation
• Frequency- and transverse wave-vector-dependent spin Hall conductivity in two-dimensional electron gas with disorder
• Edge-induced spin polarization in two-dimensional electron gas
• PT phase transition in a (2+1)-d relativistic system