Eur. Phys. J. B 67, 7-13 (2009)
https://doi.org/10.1140/epjb/e2008-00465-5

Universal diffusive decay of correlations in gapped one-dimensional systems

¹ Theoretical Physics Department, Institute of Physics, Budapest University of Technology and Economy, Budapest, 1521, Hungary
² Institut für Theoretische Physik, Universität zu Köln, 50937 Köln, Germany
³ Institut für Theoretische Festkörper Physik, Universität Karlsruhe, 76128 Karlsruhe, Germany

Corresponding author: ^a rapp@wigner.bme.hu

Received: 27 June 2008
Revised: 29 October 2008
Published online: 24 December 2008

Abstract

We apply a semiclassical approach to express finite temperature dynamical correlation functions of gapped spin models analytically. We show that the approach of [Á. Rapp, G. Zaránd, Phys. Rev. B 74, 014433 (2006)] can also be used for the S = 1 antiferromagnetic Heisenberg chain, whose lineshape can be measured experimentally. We generalize our calculations to O(N) quantum spin models and the sine-Gordon model in one dimension, and show that in all these models, the finite temperature decay of certain correlation functions is characterized by the same universal semiclassical relaxation function.