Disordered Parity Anomalous Semimetal
Shi-Hao Bi, Bo Fu, and Shun-Qing Shen

TL;DR
This paper explores how disorder can induce a topological phase transition in magnetic topological insulators, leading to a parity anomalous semimetal with a half-quantized Hall conductance and the emergence of a gapless Dirac fermion.
Contribution
It demonstrates that strong disorder can transform trivial insulators into parity anomalous semimetals and diffusive metals, revealing new disorder-driven topological phases in magnetic topological insulators.
Findings
Disorder induces a transition from parity anomalous semimetal to diffusive metal.
Strong disorder can create a topological phase in trivial insulators.
A gapless Dirac fermion emerges with increasing disorder strength.
Abstract
The parity anomalous semimetal is a topological state of matter characterized by its semi-metallic nature and a quantum Hall conductance of one-half ( is the elementary charge and is the Planck constant). Here we investigate the topological phase transition driven by disorder in a semi-magnetic structure of topological insulator, and narrow-gap weak topological insulator film. We demonstrate that strong disorder not only leads to a topological transition from the parity anomalous semimetal to a diffusive metal with non-quantized anomalous Hall conductance, but also induces the topological phase in a trivial insulating phase. Our calculations of the local density of states provide clear picture for the formation of a single gapless Dirac fermion, which emerges as the disorder strength increases. The half quantized Hall effect is attributed to the existence of the gapless…
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