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Stability of Superdiffusion in Nearly Integrable Spin Chains

Jacopo De Nardis, Sarang Gopalakrishnan, Romain Vasseur, and Brayden Ware
Phys. Rev. Lett. 127, 057201 – Published 30 July 2021
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Abstract

Superdiffusive finite-temperature transport has been recently observed in a variety of integrable systems with non-Abelian global symmetries. Superdiffusion is caused by giant Goldstone-like quasiparticles stabilized by integrability. Here, we argue that these giant quasiparticles remain long-lived and give divergent contributions to the low-frequency conductivity σ(ω), even in systems that are not perfectly integrable. We find, perturbatively, that σ(ω)ω1/3 for translation-invariant static perturbations that conserve energy and σ(ω)|logω| for noisy perturbations. The (presumable) crossover to regular diffusion appears to lie beyond low-order perturbation theory. By contrast, integrability-breaking perturbations that break the non-Abelian symmetry yield conventional diffusion. Numerical evidence supports the distinction between these two classes of perturbations.

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  • Received 24 February 2021
  • Accepted 18 June 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.057201

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalStatistical Physics & ThermodynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Jacopo De Nardis1, Sarang Gopalakrishnan2, Romain Vasseur3, and Brayden Ware3

  • 1Laboratoire de Physique Théorique et Modélisation, CNRS UMR 8089, CY Cergy Paris Université, 95302 Cergy-Pontoise Cedex, France
  • 2Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16820, USA
  • 3Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA

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Issue

Vol. 127, Iss. 5 — 30 July 2021

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