Universal diffusive decay of correlations in gapped one-dimensional systems

Details Universal diffusive decay of correlations in gapped one-dimensional systems Universal diffusive decay of correlations in gapped one-dimensional systems

2008-06-25

arxiv.org/abs/0806.4107v2

Eur. Phys. J. B 67, 7-13 (2009)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 5 figures, final version appeared in Eur. Phys. J. B 67, 7-13 (2009)

Scientific paper

10.1140/epjb/e2008-00465-5

We apply a semiclassical approach to express finite temperature dynamical correlation functions of gapped spin models analytically. We show that the approach of [A. Rapp, G. Zarand, 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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