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Autocorrelation function of the x-component of the magnetization in the one-dimensional XY-model

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  • Capel, H.W.
  • Perk, J.H.H.

Abstract

Exact expressions are derived for the time-dependent correlation functions of the x and y component of the magnetization for the one-dimensional anisotropic XY-model (S=12) in zero field in the high-temperature limit. As a corollary, the correlation functions for the Ising chain in a transverse field are obtained.

Suggested Citation

  • Capel, H.W. & Perk, J.H.H., 1977. "Autocorrelation function of the x-component of the magnetization in the one-dimensional XY-model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 87(2), pages 211-242.
    • Handle: RePEc:eee:phsmap:v:87:y:1977:i:2:p:211-242
    DOI: 10.1016/0378-4371(77)90014-0
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    References listed on IDEAS

    as
    1. Braeter, H. & Kowalski, J.M., 1977. "On the thermodynamics of the random one-dimensional Ising chain in a transverse field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 87(2), pages 243-257.
    2. Bechhofer, Frank & Elliott, Brian & Rushforth, Monica, 1971. "The Market Situation of Small Shopkeepers," Scottish Journal of Political Economy, Scottish Economic Society, vol. 18(2), pages 161-180, June.
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