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The XY-model and the self-avoiding walk approximation

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  • Dekeyser, R.
  • Reynaert, M.

Abstract

The SAW-approximation is calculated for the quantum-mechanical XY-model for spin 12 in a parallel magnetic field. For this purpose we derive an exact expression for the internal weight factors of the polygon graphs.

Suggested Citation

  • Dekeyser, R. & Reynaert, M., 1976. "The XY-model and the self-avoiding walk approximation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(1), pages 197-204.
    • Handle: RePEc:eee:phsmap:v:84:y:1976:i:1:p:197-204
    DOI: 10.1016/0378-4371(76)90073-X
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    References listed on IDEAS

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    1. Plischke, Elmer, 1974. "The Art and Practice of Diplomacy: A Selected and Annotated Guide. By Robert B. Harmon. (Metuchen, N.J.: Scarecrow Press, 1971. Pp. 355. $10.00.)," American Political Science Review, Cambridge University Press, vol. 68(1), pages 347-348, March.
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    Cited by:

    1. Stella, A.L. & Toigo, F., 1977. "Renormalization and scaling of a two-dimensional Ising system in a transverse field at Tc>0," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 89(1), pages 175-190.
    2. Rogiers, J. & Betts, D.D., 1976. "Application of the renormalization group method to the s = 12XY model on the triangular lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 85(3), pages 553-565.
    3. Hu, Bambi, 1979. "Renormalization group study of the one dimensional quantum mechanical XY model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 330-336.

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    1. Rogiers, J. & Tachiki, M., 1977. "Spin ordering in spin-pair systems: The XY model in an external field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 87(3), pages 614-622.
    2. Dekeyser, R. & Rogiers, J., 1975. "Series expansions for a generalized XY hamiltonian," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 81(1), pages 72-92.

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