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

Figures from this paper

Counterpropagating topological and quantum Hall edge channels

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

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

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

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

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

References

SHOWING 1-10 OF 52 REFERENCES

Spherical topological insulator nanoparticles: Quantum size effects and optical transitions

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 lattice gauge theory approach to quantum chromodynamics

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

Parity violation and gauge noninvariance of the effective gauge field action in three dimensions

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

Topologically Massive Gauge Theories

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

Gauge noninvariance and parity nonconservation of three-dimensional fermions

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 $\ifmmode\pm\else\textpm\fi{}\ensuremath{\pi}|n|$

SPECTRAL ASYMMETRY ON AN OPEN SPACE

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

Condensed-Matter Simulation of a Three-Dimensional Anomaly

A condensed-matter analog of (2+1)-dimensional electrodynamics is constructed, and the consequences of a recently discovered anomaly in such systems are discussed.

Axial-Anomaly-Induced Fermion Fractionization and Effective Gauge-Theory Actions in Odd-Dimensional Space-Times

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

The Quantum Anomalous Hall Effect: Theory and Experiment

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
...