Equilibrium currents in chiral systems with non-zero Chern number

Abstract

We describe simple quantum-mechanical approach to calculating equilibrium particle current along the edge of a system with non-trivial band spectrum topology. The approach does not require any a priori knowledge of the band topology and, as a matter of fact, treats topological and non-topological contributions to the edge currents on the same footing. We illustrate its usefulness by demonstrating the existence of `topologically non-trivial' particle currents along the edges of three different physical systems: two-dimensional electron gas with spin-orbit coupling and Zeeman magnetic field, surface state of a topological insulator, and kagome antiferromagnet with Dzyaloshinskii-Moriya interaction. We describe relation of our results to the notion of orbital magnetization.

8 pages, 4 figures

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Cited by in corpus (14)

• Chiral magnetic effect and natural optical activity in (Weyl) metals
• Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
• Damped Topological Magnons in the Kagomé-Lattice Ferromagnets
• Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
• Haydeeite: a spin-1/2 kagome ferromagnet
• Topological magnons in a kagome lattice spin system with $XXZ$ and Dzyaloshinskii-Moriya interactions
• Spin Hall and Nernst effects of Weyl magnons
• Kinetic orbital moments and nonlocal transport in disordered metals with nontrivial geometry
• Quantum kinetic equation and thermal conductivity tensor for bosons
• Local equilibrium charge and spin currents in two-dimensional topological systems
• Artificial Magnetic Fields in Momentum Space in Spin-Orbit Coupled Systems
• Electric field effect on electron gas spins in two-dimensional magnets with strong spin-orbit coupling
• Theory of transverse magnetization in spin-orbit coupled antiferromagnets
• Topological characterization of magnon-polaron bands and thermal Hall conductivity in a frustrated kagome antiferromagnet