Chiral two-dimensional electron gas in a periodic magnetic field

Abstract

We study the energy spectrum and electronic properties of two-dimensional electron gas in a periodic magnetic field of zero average with a symmetry of triangular lattice. We demonstrate how the structure of electron energy bands can be changed with the variation of the field strength, so that we can start from nearly free electron gas and then transform it continuously to a system of essentially localized chiral electron states. We find that the electrons near some minima of the effective potential are responsible for occurrence of dissipationless persistent currents creating a lattice of current contours. The topological properties of the electron energy bands are also varied with the intensity of periodic field. We calculated the topological Chern numbers of several lower energy bands as a function of the field. The corresponding Hall conductivity is nonzero and, when the Fermi level lies in the gap, it is quantized.

10 pages;9 figures;42 references

References in corpus (4)

• First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe
• Intrinsic vs. extrinsic anomalous Hall effect in ferromagnets
• Anomalous Hall Effect due to the spin chirality in the Kagomé lattice
• Spin-orbit coupling effect on the persistent currents in mesoscopic ring with an Anderson impurity

Cited by in corpus (3)

• Emergence of Topological Nodal Lines and Type II Weyl Nodes in Strong Spin--Orbit Coupling System InNbX2(X=S,Se)
• Designing 1D correlated-electron states by non-Euclidean topography of 2D monolayers
• Inducing topological flat bands in bilayer graphene with electric and magnetic superlattices