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Time- and frequency-dependent correlation functions for the homogeneous and alternating-isotropic XY-models

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  • Perk, J.H.H.
  • Capel, H.W.

Abstract

Explicit expressions are derived for the time correlations between x- and y-components of spin and their frequency-Fourier transforms in the one-dimensional XY-model in the high-temperature limit (β = 0). The results can be expressed as a linear combination of at most three Gaussians multiplied with (quasi) periodic Jacobian theta functions.

Suggested Citation

  • Perk, J.H.H. & Capel, H.W., 1980. "Time- and frequency-dependent correlation functions for the homogeneous and alternating-isotropic XY-models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 100(1), pages 1-23.
    • Handle: RePEc:eee:phsmap:v:100:y:1980:i:1:p:1-23
    DOI: 10.1016/0378-4371(80)90147-8
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    References listed on IDEAS

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    1. Capel, H.W. & Den Ouden, L.W.J. & Perk, J.H.H., 1979. "Stability of critical behaviour, critical-exponent renormalization and first-order transitions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 95(3), pages 371-416.
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