TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.18.5.146
TI  - Three-dimensional quantum Hall effect in topological amorphous metals
PY  - 2025/05/02
UR  - https://scipost.org/SciPostPhys.18.5.146
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 18
IS  - 5
SP  - 146
A1  - Wang, Jiong-Hao
AU  - Xu, Yong
AB  - Weyl semimetals have been theoretically predicted to become topological metals with anomalous Hall conductivity in amorphous systems. However, measuring the anomalous Hall conductivity in realistic materials, particularly those with multiple pairs of Weyl points, is a significant challenge. If a system respects time-reversal symmetry, then the anomalous Hall conductivity even vanishes. As such, it remains an open question how to probe the Weyl band like topology in amorphous materials. Here, we theoretically demonstrate that, under magnetic fields, a topological metal slab in amorphous systems exhibits three-dimensional quantum Hall effect, even in time-reversal invariant systems, thereby providing a feasible approach to exploring Weyl band like topology in amorphous materials. We unveil the topological origin of the quantized Hall conductance by calculating the Bott index. The index is carried by broadened Landau levels with bulk states spatially localized except at critical transition energies. The topological property also results in edge states localized at distinct hinges on two opposite surfaces.
ER  -

@Article{10.21468/SciPostPhys.18.5.146,
	title={{Three-dimensional quantum Hall effect in topological amorphous metals}},
	author={Jiong-Hao Wang and Yong Xu},
	journal={SciPost Phys.},
	volume={18},
	pages={146},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.18.5.146},
	url={https://scipost.org/10.21468/SciPostPhys.18.5.146},
}