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

@article{Tutschku2020MomentumdependentMA,
  title={Momentum-dependent mass and AC Hall conductivity of quantum anomalous Hall insulators and their relation to the parity anomaly},
  author={Christian Tutschku and Jan B{\"o}ttcher and Ren'e Meyer and Ewelina M. Hankiewicz},
  journal={arXiv: Mesoscale and Nanoscale Physics},
  year={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 connect the additional momentum-dependent Newtonian mass term of a QAH insulator to the parity anomaly. By calculating the effective action, we reveal that the Newtonian mass term acts like a parity-breaking element of a high-energy regularization scheme. As such, it is directly related to the parity… 

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References

SHOWING 1-10 OF 56 REFERENCES

Survival of the Quantum Anomalous Hall Effect in Orbital Magnetic Fields as a Consequence of the Parity Anomaly.

It is demonstrated that the QAH phase survives in orbital fields, violates the Onsager relation, and can be therefore distinguished from a quantum Hall (QH) phase.

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

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

Frequency and temperature dependence of the anomalous ac Hall conductivity in a chiral p x +ip y superconductor with impurities

We calculate frequency and temperature dependence of the anomalous ac Hall conductivity induced by impurity scattering in a chiral px+ipy superconductor, such as Sr2RuO4, with spontaneous

Quantized Anomalous Hall Effect in Magnetic Topological Insulators

A realization of a quantum anomalous Hall system is proposed by magnetically doping thin films of three-dimensional topological insulators and calculating the effects of various dopants and film thicknesses, which are predicted to have long-range ferromagnetic order, potentially joining dilute magnetic semiconductors as candidates for spintronic applications.

A topological Dirac insulator in a quantum spin Hall phase

The direct observation of massive Dirac particles in the bulk of Bi0.9Sb0.1 is reported, which suggests that the observed surface state on the boundary of the bulk insulator is a realization of the ‘topological metal’, which has potential application in developing next-generation quantum computing devices that may incorporate ‘light-like’ bulk carriers and spin-textured surface currents.

Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator

The observation of the quantum anomalous Hall (QAH) effect in thin films of chromium-doped (Bi,Sb)2Te3, a magnetic topological insulator shows a plateau in the Hall resistance as a function of the gating voltage without any applied magnetic fields, signifying the achievement of the QAH state.

Chern semimetal and the quantized anomalous Hall effect in HgCr2Se4.

It is predicted, based on first principles calculations, that such a novel quantum state can be realized in a known ferromagnetic compound HgCr2Se4, with a single pair of Weyl fermions separated in momentum space.

Induced Chern-Simons Class with Lattice Fermions

During the past several years there has been a growing interest in 3-dimensional gauge theories as high temperature field theories l )-5) and as dynamics for planar systems such as the quantum Hall

Lectures on Quantum Field Theory

This book consists of the lectures for a two-semester course on quantum field theory, and as such is presented in a quite informal and personal manner. The course starts with relativistic
...