Anyon-induced non-Hermitian topological phases

Yi-An Wang; Kun Ding; Linhu Li

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arXiv · 2607.06934

Anyon-induced non-Hermitian topological phases

Yi-An Wang·Kun Ding·Linhu Li

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Abstract

We show that anyonic exchange statistics can activate non-Hermitian point-gap topology in models that are topologically trivial in its absence. The emergent topology oscillates more rapidly with the statistical phase as the anyon number increases, and exhibits a parity dependence on the particle number. A perturbative analysis reveals the mechanism: fractional statistics induces a mismatch between momentum terms that, combined with sublattice-dependent dissipation, produces particle-number-dependent non-reciprocity and complex spectral winding. As these effects rely on the formation and exchange of interaction-bound anyons, our results establish exchange statistics as a resource for enabling non-Hermitian topology under programmed dissipation.

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Yi-An Wang, Kun Ding, Linhu Li. 2026-07-08. Anyon-induced non-Hermitian topological phases. https://arxiv.org/abs/2607.06934

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