Quantum Spin Hall Effect and Enhanced Magnetic Response by Spin-Orbit Coupling

Abstract

We show that the spin Hall conductivity in insulators is related with a magnetic susceptibility representing the strength of the spin-orbit coupling. We use this relationship as a guiding principle to search real materials showing quantum spin Hall effect. As a result, we theoretically predict that bismuth will show the quantum spin Hall effect, both by calculating the helical edge states, and by showing the non-triviality of the Z_2 topological number, and propose possible experiments.

5 pages, 2 figures, accepted for publication in Phys. Rev. Lett

References in corpus (8)

• Dissipationless Quantum Spin Current at Room Temperature
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Strong spin-orbit splitting on Bi surfaces
• Orbital magnetization in periodic insulators
• On A Proper Definition of Spin Current
• A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators
• Spin Hall effect of conserved current: Conditions for a nonzero spin Hall current
• Streda-like formula in spin Hall effect

Cited by in corpus (16)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Insulators with Inversion Symmetry
• Classification of topological insulators and superconductors in three spatial dimensions
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Finite size effects of helical edge states in HgTe/CdTe quantum wells
• Nature of the 5f states in actinide metals
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Tuning phase transition between quantum spin Hall and ordinary insulating phases
• Signatures of Electron Fractionalization in Ultraquantum Bismuth
• Universal phase diagrams for the quantum spin Hall systems
• Oscillating Nernst-Ettingshausen effect in Bismuth across the quantum limit
• Disorder effect on 3-dimensional $Z_2$ quantum spin Hall systems
• Interband Effects of Magnetic Field on Hall Effects for Dirac Electrons in Bismuth
• Intrinsic spin-Hall accumulation in honeycomb lattices: Band structure effects
• Quantum Nernst Effect in a Bismuth Single Crystal
• Intrinsic spin Hall effect in graphene: Numerical calculations in a multi-orbital mode