Half-quantum mirror Hall effect

Bo Fu, Kai-Zhi Bai and Shun-Qing Shen ()
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Bo Fu: Great Bay University
Kai-Zhi Bai: The University of Hong Kong
Shun-Qing Shen: The University of Hong Kong

Nature Communications, 2024, vol. 15, issue 1, 1-14

Abstract: Abstract We predict a half-quantized mirror Hall effect induced by mirror symmetry in strong topological insulator films. These films are known to host a pair of gapless Dirac cones in the first Brillouin zone associated with surface electrons. Our findings reveal that mirror symmetry assigns a unique mirror parity to each Dirac cone, resulting in a half-quantized Hall conductance of $$\pm \! \frac{{e}^{2}}{2h}$$ ± e 2 2 h for each cone. Despite the total electrical Hall conductance being null due to time-reversal invariance, the difference in the Hall conductance between the two cones yields a quantized Hall conductance of $$\frac{{e}^{2}}{h}$$ e 2 h for the difference in mirror currents. The effect of helical edge mirror current - a crucial feature of this quantum effect - may, in principle, be determined by means of electrical measurements. The half-quantum mirror Hall effect reveals a type of mirror-symmetry induced quantum anomaly in a time-reversal invariant lattice system, giving rise to a topological metallic state of matter with time-reversal invariance.

Date: 2024
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DOI: 10.1038/s41467-024-51215-x

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