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

Jan Böttcher, Christian Tutschku, and Ewelina M. Hankiewicz
Phys. Rev. B 101, 195433 – Published 22 May 2020

Abstract

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 generalize these findings to QAH insulators with broken particle-hole symmetry. In particular, we derive the connection to the spectral asymmetry, which is a topological quantity arising in the context of Dirac-like systems. Moreover, it is shown that, depending on the magnetic field direction, particle-hole asymmetry strengthens or weakens the hybridization of the counterpropagating QH and QAH edge states. Implications for ferro- or paramagnetic topological insulators are derived which pave the way towards identifying signatures of the QAH effect even in external magnetic fields.

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  • Received 5 February 2020
  • Accepted 17 April 2020

DOI:https://doi.org/10.1103/PhysRevB.101.195433

©2020 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Jan Böttcher, Christian Tutschku, and Ewelina M. Hankiewicz*

  • Institut für theoretische Physik (TP4) and Würzburg-Dresden Cluster of Excellence ct.qmat, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany

  • *Ewelina.Hankiewicz@physik.uni-wuerzburg.de

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Issue

Vol. 101, Iss. 19 — 15 May 2020

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