Stability of Superdiffusion in Nearly Integrable Spin Chains

Jacopo De Nardis, Sarang Gopalakrishnan, Romain Vasseur, Brayden Ware

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3 Scopus citations

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)∼ω-1/3 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.

Original languageEnglish (US)
Article number057201
JournalPhysical review letters
Volume127
Issue number5
DOIs
StatePublished - Jul 30 2021

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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