# Non-Bloch topological invariants in a non-Hermitian domain-wall system

## TL;DR

This paper investigates non-Bloch topological invariants in a non-Hermitian domain-wall system, demonstrating how boundary conditions influence bulk-boundary correspondence through redefined invariants.

## Contribution

It introduces a new approach to defining non-Bloch topological invariants in non-Hermitian systems with domain walls, extending the understanding of bulk-boundary correspondence.

## Key findings

- Non-Hermitian skin effects persist in the system.
- Non-Bloch winding numbers depend on parameters from both sides of the boundary.
- Bulk-boundary correspondence is confirmed under the new invariants.

## Abstract

We study non-Bloch bulk-boundary correspondence in a non-Hermitian Su-Schieffer-Heeger model in a domain-wall configuration where the left and right bulks have different parameters. Focusing on the case where chiral symmetry is still conserved, we show that non-Hermitian skin effects of bulk states persist in the system, while the definition of the non-Bloch winding number of either bulk depends on parameters on both sides of the boundary. Under these redefined non-Bloch topological invariants, we confirm non-Bloch bulk-boundary correspondence under the domain-wall configuration, which exemplifies the impact of boundary conditions in non-Hermitian topological systems.