# 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}
}
• Published 4 February 2020
• Physics
• Physical Review B
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…
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## References

SHOWING 1-10 OF 52 REFERENCES

• Physics
Physical Review B
• 2019
We have investigated the interplay between band inversion and size quantization in spherically shaped nanoparticles made from topological-insulator (TI) materials. A general theoretical framework is
The author reviews in a pedagogical fashion some of the recent developments in lattice quantum chromodynamics. This review emphasizes explicit examples and illustrations rather than general proofs
The effective gauge field action due to fermions coupled to $\mathrm{SU}(N)$ gauge fields in three dimensions is found to change by $\ifmmode\pm\else\textpm\fi{}\ensuremath{\pi}|n|$ under a
• Physics
• 1982
Gauge vector and gravity models are studied in three-dimensional space-time, where novel, gauge invariant, P and T odd terms of topological origin give rise to masses for the gauge fields. In the
The effective gauge field action due to an odd number of fermion species in three-dimensional $\mathrm{SU}(N)$ gauge theories is shown to change by $\ifmmode\pm\else\textpm\fi{}\ensuremath{\pi}|n|$
• Mathematics, Physics
• 1984
The spectral asymmetry is evaluated for a family of Dirac operators interacting with a topological background field and defined on an open infinite space. For these operators the spectral asymmetry
A condensed-matter analog of (2+1)-dimensional electrodynamics is constructed, and the consequences of a recently discovered anomaly in such systems are discussed.
• Physics
• 1983
A new quantum field-theoretical technique is developed and used to explore the relationship between even-space-time-dimensional axial anomalies and background-field-induced fermion numbers and
• Physics
• 2016
The quantum anomalous Hall effect is defined as a quantized Hall effect realized in a system without an external magnetic field. The quantum anomalous Hall effect is a novel manifestation of