# Emerging Quantum Hall Effect in Massive Dirac Systems

**Authors:** Leandro O. Nascimento, E. C. Marino, Van S\'ergio Alves, and C. Morais, Smith

arXiv: 1702.01573 · 2017-02-07

## TL;DR

This paper predicts an interaction-induced quantum Hall effect in massive Dirac materials without external magnetic fields, driven by quantum fluctuations causing dynamical time-reversal symmetry breaking.

## Contribution

It introduces a novel mechanism for quantum Hall conductivity arising from electron interactions and quantum fluctuations in time-reversal symmetric systems.

## Key findings

- Quantum Hall effect emerges without external magnetic fields.
- Effect observed in materials like silicene and germanene.
- Driven by dynamical breakdown of time-reversal symmetry.

## Abstract

An interaction-driven nonzero quantum Hall conductivity is shown to occur in time-reversal symmetric massive Dirac materials, in the absence of any external agent. The effect is produced through the dynamical breakdown of time-reversal symmetry, which is generated by quantum fluctuations, when the full dynamical electromagnetic interaction among the electrons is taken into account. The manifestation of this emergent parity anomaly should be observed in materials such as silicene, stanene, germanene and transition metal dichalcogenides, at low enough temperatures.

## Full text

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## Figures

2 figures with captions in the complete paper: https://tomesphere.com/paper/1702.01573/full.md

## References

31 references — full list in the complete paper: https://tomesphere.com/paper/1702.01573/full.md

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Source: https://tomesphere.com/paper/1702.01573