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Time-dependent xx-correlation functions in the one-dimensional XY-model

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  • Perk, J.H.H.
  • Capel, H.W.

Abstract

The structure of the time-dependent xx-correlation functions of the one-dimensional XY-model is investigated in some detail on the basis of an extension of the thermodynamic Wick theorem. The results amount to a generalization of a rigorous result for the autocorrelation function of the x-component of the magnetization obtained in a previous paper.

Suggested Citation

  • Perk, J.H.H. & Capel, H.W., 1977. "Time-dependent xx-correlation functions in the one-dimensional XY-model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 89(2), pages 265-303.
    • Handle: RePEc:eee:phsmap:v:89:y:1977:i:2:p:265-303
    DOI: 10.1016/0378-4371(77)90105-4
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    References listed on IDEAS

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    1. van Hemmen, J.L. & Vertogen, G., 1975. "A note on Fermi lattice systems with bilinear hamiltonians," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 81(3), pages 391-410.
    2. Perk, J.H.H. & Capel, H.W. & Zuilhof, M.J. & Siskens, Th.J., 1975. "On a soluble model of an antiferromagnetic chain with alternating interactions and magnetic moments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 81(3), pages 319-348.
    3. 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.
    4. 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.
    Full references (including those not matched with items on IDEAS)

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