Gauge symmetry breaking and topological quantization for the Pauli Hamiltonian

Abstract

We discuss the Pauli Hamiltonian within a $SU(2)$ gauge theory interpretation, where the gauge symmetry is broken. This interpretation carries directly over to the structural inversion asymmetric spin-orbit interactions in semiconductors and offers new insight into the problem of spin currents in the condensed matter environment. The central results is that symmetry breaking leads to zero spin conductivity in contrast to predictions of Gauge symmetric treatments. Computing the translation operator commutation relations comprising the simplest possible structural inversion asymmetry due to an external electric field, we derive a new condition for orbit quantization. The relation between the topological nature of this effect is consistent with our non-Abelian gauge symmetry breaking scenario.

arXiv comment7 pages, 1 figure

References in corpus (22)

• Electric Field Effect in Atomically Thin Carbon Films
• Spintronics: Fundamentals and applications
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• $Z_2$ Topological Order and the Quantum Spin Hall Effect
• Quantum Spin Hall Effect
• Universal Intrinsic Spin-Hall Effect
• Dissipationless Quantum Spin Current at Room Temperature
• Current-driven Magnetization Reversal and Spin Wave Excitations in Co/Cu/Co Pillars
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Spin current and polarization in impure 2D electron systems with spin-orbit coupling
• Suppression of the Persistent Spin Hall Current by Defect Scattering
• Spin Hall Insulator
• Double-Occupancy Errors, Adiabaticity, and Entanglement of Spin-Qubits in Quantum Dots
• Semiclassical theory of spin transport in spin-orbit coupled systems
• SU(2)xU(1) unified theory for charge, orbit and spin currents
• Topology, Locality, and Aharonov-Bohm Effect with Neutrons
• Phase Diagram for Quantum Hall Bilayers at $\nu =1$
• Spin Accumulation and Equilibrium Currents at the Edge of 2DEGs with Spin-Orbit Coupling
• Mechanical measurement of equilibrium spin currents in the Rashba medium
• Local/Non-Local Complementarity in Topological Effects

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• Effective dynamics for a spin-1/2 particle constrained to a space curve in an electric and magnetic field
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