Anyon-induced non-Hermitian topological phases

• URL: http://arxiv.org/abs/2607.06934v1
• Date: Wed, 08 Jul 2026 02:53:47 GMT
• Title: Anyon-induced non-Hermitian topological phases
• Abstract summary: We show that anyonic exchange statistics can activate non-Hermitian point-gap topology in models that are topologically trivial in its absence.<n>A perturbative analysis reveals the mechanism: fractional statistics induces a mismatch between momentum terms.
• Score: 6.195522858371143
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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