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Interaction-induced asymmetry in infinite-temperature dynamical correlations of hard-core anyons

Doru Sticlet1,*, Ovidiu I. Pâţu2, Balázs Dóra3,4, and Cătălin Paşcu Moca3,4,5,†

  • *Contact author: doru.sticlet@itim-cj.ro
  • †Contact author: mocap@uoradea.ro
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Phys. Rev. Research 8, 033198 – Published 17 August, 2026

DOI: https://doi.org/10.1103/yxs5-hcfm

Abstract

We study dynamical correlations of interacting hard-core anyons on a one-dimensional lattice at infinite temperature. This is a setting in which the many-body spectrum is independent of the statistical phase θ, while dynamical correlators remain sensitive to θ through nonlocal Jordan-Wigner strings. We compute single-particle Green's functions, spectral functions, and density-density correlators, thereby separating the effects of fractional statistics on one-body coherence from those on density transport in a maximally mixed ensemble. In the noninteracting case V=0, high-temperature averaging leads to inversion-symmetric Green's functions for all θ despite the presence of anyonic strings. Finite nearest-neighbor interactions V generate, however, a pronounced left-right asymmetry in the Green's functions for 0<θ<π, with the strongest chirality appearing at intermediate couplings V∼J where interactions and hopping compete most effectively. In this regime, the Green's function decays exponentially in time with a statistical-angle-dependent decay rate. At strong coupling, the dynamics crosses over to an atomic-limit regime in which the dependence on θ is reduced. Here, the Green's function decays universally as t−1 and the corresponding spectral function displays a three-band structure. In contrast, density-density correlations are insensitive to statistics and recover the known infinite-temperature transport regimes of the XXZ chain, including ballistic, superdiffusive, and diffusive behaviors. These results identify dynamical correlation functions as direct probes of fractional statistics in high-entropy quantum systems.

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Phys. Rev. Research 8, 033198– Published 17 August, 2026
  • Received 5 May 2026
  • Accepted 28 July 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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