# The One-dimensional Chiral Anomaly and its Disorder Response

## TL;DR

This paper explores the realization of one-dimensional chiral anomaly in a generalized Su-Schrieffer-Heeger model, analyzing its topological properties and disorder effects, including stabilization strategies and disorder-induced phase transitions.

## Contribution

It introduces a model exhibiting 1D chiral anomaly with half-integer winding number quantization and studies disorder effects leading to topological phase transitions.

## Key findings

- On-site disorder smears the Dirac cone.
- Proposed stabilization of half-integer quantization.
- Bond disorder induces a topological Anderson insulator phase.

## Abstract

The condensed-matter realization of chiral anomaly has attracted tremendous interest in exploring unexpected phenomena of quantum field theory. Here, we show that one-dimensional (1D) chiral anomaly (i.e., 1D nonconservational chiral current under a background electromagnetic field) can be realized in a generalized Su-Schrieffer-Heeger model where a single gapless Dirac cone occurs. Based on the topological Thouless pump and anomalous dynamics of chiral displacement, we elucidate that such a system possesses the half-integer quantization of winding number. Moreover, we investigate the evolution of 1D chiral anomaly with respect to two typical types of disorder, i.e., on-site disorder and bond disorder. The results show that the on-site disorder tends to smear the gapless Dirac cone. However, we propose a strategy to stabilize the half-integer quantization, facilitating its experimental detection. Furthermore, we demonstrate that the bond disorder causes a unique crossover with disorder-enhanced topological charge pumping, driving the system into a topological Anderson insulator phase.