The European Physical Journal B

, Volume 67, Issue 1, pp 7–13 | Cite as

Universal diffusive decay of correlations in gapped one-dimensional systems

  • Á. Rapp
  • G. Zaránd
Solid State and Materials


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.


75.10.Pq Spin chain models 05.30.-d Quantum statistical mechanics 05.50.+q Lattice theory and statistics 


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© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  1. 1.Theoretical Physics DepartmentInstitute of Physics, Budapest University of Technology and EconomyBudapestHungary
  2. 2.Institut für Theoretische Physik, Universität zu KölnKölnGermany
  3. 3.Institut für Theoretische Festkörper Physik, Universität KarlsruheKarlsruheGermany

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