# Fate of quantum anomalous Hall effect in the presence of external magnetic fields and particle-hole asymmetry

@article{Bttcher2020FateOQ, title={Fate of quantum anomalous Hall effect in the presence of external magnetic fields and particle-hole asymmetry}, author={Jan B{\"o}ttcher and Christian Tutschku and Ewelina M. Hankiewicz}, journal={Physical Review B}, year={2020} }

The quantum anomalous Hall (QAH) effect, a condensed matter analog of the parity anomaly, is characterized by a quantized Hall conductivity in the absence of an external magnetic field. However, it has been recently shown that, even in the presence of Landau levels, the QAH effect can be distinguished from the conventional quantum Hall (QH) effect due to the parity anomaly. As a signature of this effect, we predicted coexistent counterpropagating QAH and QH edge states. In the present work, we…

## 5 Citations

### Counterpropagating topological and quantum Hall edge channels

- PhysicsNature communications
- 2022

The survival of the quantum spin Hall edge channels in presence of an external magnetic field has been a subject of experimental and theoretical research. The inversion of Landau levels that…

### Electric control of a canted-antiferromagnetic Chern insulator

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The interplay between band topology and magnetism can give rise to exotic states of matter. For example, magnetically doped topological insulators can realize a Chern insulator that exhibits…

### Magnetic-field-induced robust zero Hall plateau state in MnBi2Te4 Chern insulator

- PhysicsNature communications
- 2021

Transport studies of exfoliated MnBi2Te4 flakes in pulsed magnetic fields up to 61.5 T demonstrate the intricate interplay among intrinsic magnetic order, external magnetic field, and nontrivial band topology in MnBi 2Te4.

### Temperature and chemical potential dependence of the parity anomaly in quantum anomalous Hall insulators

- Physics
- 2020

The low-energy physics of two-dimensional Quantum Anomalous Hall insulators like (Hg,Mn)Te quantum wells or magnetically doped (Bi,Sb)Te thin films can be effectively described by two Chern…

### Momentum-dependent mass and AC Hall conductivity of quantum anomalous Hall insulators and their relation to the parity anomaly

- Physics
- 2020

The Dirac mass of a two-dimensional QAH insulator is directly related to the parity anomaly of planar quantum electrodynamics, as shown initially in Phys. Rev. Lett. 52, 18 (1984). In this work, we…

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