Spin conductivity in almost integrable spin chains

Peter Jung and Achim Rosch
Phys. Rev. B 76, 245108 – Published 7 December 2007

Abstract

The spin conductivity in the integrable spin-12 XXZ chain is known to be infinite at finite temperatures T for anisotropies 1<Δ<1. Perturbations, which break integrability, e.g., a next-nearest neighbor coupling J, render the conductivity finite. We construct numerically a nonlocal conserved operator J which is responsible for the finite spin Drude weight of the integrable model and calculate its decay rate for small J. This allows us to obtain a lower bound for the spin conductivity σsc(T)J2, where c(T) is finite for J0. We discuss the implication of our result for the general question how nonlocal conservation laws affect transport properties.

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  • Received 14 August 2007

DOI:https://doi.org/10.1103/PhysRevB.76.245108

©2007 American Physical Society

Authors & Affiliations

Peter Jung and Achim Rosch

  • Institute for Theoretical Physics, University of Cologne, 50937 Cologne, Germany

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Issue

Vol. 76, Iss. 24 — 15 December 2007

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