# A gap-protected zero-Hall effect state in the quantum limit of the   nonsymmorphic metal KHgSb

**Authors:** Sihang Liang, Satya Kushwaha, Tong Gao, Max Hirschberger, Jian Li,, Zhijun Wang, Karoline Stolze, Brian Skinner, B. A. Bernevig, R. J. Cava, and, and N. P. Ong

arXiv: 1812.11912 · 2019-03-19

## TL;DR

This paper reports the discovery of a novel zero-Hall state in KHgSb under strong magnetic fields, where the Hall conductivity drops to zero while the diagonal conductivity remains finite, protected by a large energy gap.

## Contribution

The study provides the first experimental observation of a gap-protected zero-Hall state in a nonsymmorphic topological metal in the quantum limit.

## Key findings

- Hall conductivity falls exponentially to zero in the quantum limit
- Diagonal conductivity remains finite in the zero-Hall state
- Large energy gap protects the zero-Hall state

## Abstract

A recurring theme in topological matter is the protection of unusual electronic states by symmetry, for example, protection of the surface states in Z2 topological insulators by time reversal symmetry [1-3]. Recently interest has turned to unusual surface states in the large class of nonsymmorphic materials [4-11]. In particular KHgSb is predicted to exhibit double quantum spin Hall (QSH) states [10]. Here we report observation of a novel feature of the Hall conductivity in KHgSb in strong magnetic field B. In the quantum limit, the Hall conductivity is observed to fall exponentially to zero, but the diagonal conductivity is finite. A large gap protects this unusual zero-Hall state. We propose that, in this limit, the chemical potential drops into the bulk gap, intersecting equal numbers of right and left-moving QSH surface modes to produce the zero-Hall state.

## Full text

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## Figures

4 figures with captions in the complete paper: https://tomesphere.com/paper/1812.11912/full.md

## References

19 references — full list in the complete paper: https://tomesphere.com/paper/1812.11912/full.md

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Source: https://tomesphere.com/paper/1812.11912