Quantized and half-quantized Anomalous Hall effect induced by in-plane magnetic field

Abstract

In this paper we propose that, quantized and nearly half-quantized intrinsic anomalous Hall effect can be induced by in-plane external magnetic field through the Zeeman coupling in non-magnetic 2D systems with sizeable spin-orbital coupling but without two-fold rotational symmetry. An analytical result is derived for 2D electron gas model with $C_{3v}$ symmetry. Based on the $\mathbf{k}\cdot \mathbf{p}$ Hamiltonian derived from first principle calculations, we find that quantized and nearly half-quantized conductance can be observed in $\mathrm{S}{\mathrm{b}}_2\mathrm{T}{\mathrm{e}}_3$ thin film in the clean limit with strong in-plane magnetic field $B>20\mathrm{T}$ and low temperature $T<100\mathrm{mK}$.

11 pages, 4 figures