Universal diffusive decay of correlations in gapped one-dimensional systems |
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Authors: | á Rapp and G Zaránd |
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Institution: | 1.Theoretical Physics Department,Institute of Physics, Budapest University of Technology and Economy,Budapest,Hungary;2.Institut für Theoretische Physik, Universit?t zu K?ln,K?ln,Germany;3.Institut für Theoretische Festk?rper Physik, Universit?t Karlsruhe,Karlsruhe,Germany |
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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. |
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Keywords: | PACS" target="_blank">PACS 75 10 Pq Spin chain models 05 30 -d Quantum statistical mechanics 05 50 +q Lattice theory and statistics |
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