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 $T<100\mathrm{mK}$.

arXiv comment11 pages, 4 figures

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Cited by in corpus (16)

• Orbital Magneto-Nonlinear Anomalous Hall Effect in Kagome Magnet Fe${}_3$Sn${}_2$
• In-plane anomalous Hall effect in PT-symmetric antiferromagnetic materials
• Symmetry-based requirement for the measurement of electrical and thermal Hall conductivity under an in-plane magnetic field
• Observation of in-plane anomalous Hall effect associated with orbital magnetization
• Zeeman field-induced two-dimensional Weyl semimetal phase in cadmium arsenide
• Engineering the in-plane anomalous Hall effect in Cd${}_3$As${}_2$ thin films
• Planar Hall Effect in Quasi-Two-Dimensional Materials
• Spontaneous in-plane anomalous Hall response observed in a ferromagnetic oxide
• Switchable in-plane anomalous Hall effect by magnetization orientation in monolayer ${\mathrm{Mn}}_3{\mathrm{Si}}_2{\mathrm{Te}}_6$
• Anomalous Hall effect in Dirac semimetal probed by in-plane magnetic field
• Layer Coherence Origin of Planar Hall Effect: from Charge to Multipole and Valley
• Stark difference in the in-plane anomalous Hall response in Zintl compounds EuA2Sb2 (A = Zn, Cd) thin films
• Approximate half-integer quantization in anomalous planar transport in $d$-wave altermagnets
• Classical transport theory for the planar Hall effect with threefold symmetry
• Universal classes of disorder scatterings in in-plane anomalous Hall effect
• Magneto-cubic and magneto-linear dependence observed in an in-plane anomalous Hall magnet