Disorder-driven exceptional points and concurrent topological phase transitions in non-Hermitian systems

TL;DR

This paper demonstrates that random disorder in non-Hermitian systems can induce exceptional points and topological phase transitions, revealing disorder as a tool for engineering non-Hermitian topological phenomena.

Contribution

It shows that disorder alone can generate exceptional points and topological phase transitions in non-Hermitian lattices, a novel mechanism for topological engineering.

Findings

Disorder induces real-complex spectral transitions and band inversion.

Extended exceptional point lines emerge from Hermitian topological transition points.

Phase diagram shows disorder-driven exceptional points over broad parameters.

Abstract

Exceptional points (EPs) are spectral degeneracies unique to non-Hermitian systems which underpin phenomena from enhanced sensing to unconventional topology. While disorder is usually viewed as detrimental, it can also drive topological phase transitions (TPTs). Here, we show that random disorder alone can generate EPs and concurrent TPTs in a multiorbital non-Hermitian lattice with nonreciprocal hopping. Increasing disorder induces successive real-complex-real spectral transitions accompanied by band inversion and quantized changes in the spin Bott index. Using effective medium theory and large-scale simulations, we trace these transitions to a competition between disorder-induced energy-level renormalization and nonreciprocity-driven hybridization. The resulting phase diagram reveals extended EP lines that emerge from the Hermitian TPT point and persist over a broad parameter range. Our results establish disorder as an active mechanism for engineering exceptional point mediated topology in non-Hermitian matter.