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Phase Diagram Of A Loop On The Square Lattice

Author

Listed:
  • WENAN GUO

    (Faculty of Applied Science, P.O. Box 5046, 2600 GA Delft, The Netherlands)

  • HENK W. J. BLÖTE

    (Faculty of Applied Science, P.O. Box 5046, 2600 GA Delft, The Netherlands;
    Instituut Lorentz, Universiteit Leiden, Niels Bohrweg 2, Postbus 9506, 2300 RA Leiden, The Netherlands)

  • BERNARD NIENHUIS

    (Instituut voor Theoretische Fysica, Universiteit van Amsterdam, Valckenierstraat 65, 1018 XE Amsterdam, The Netherlands)

Abstract

The phase diagram of theO(n)model, in particular the special casen=0, is studied by means of transfer-matrix calculations on the loop representation of theO(n)model. The model is defined on the square lattice; the loops are allowed to collide at the lattice vertices, but not to intersect. The loop model contains three variable parameters that determine the loop density or temperature, the energy of a bend in a loop, and the interaction energy of colliding loop segments. A finite-size analysis of the transfer-matrix results yields the phase diagram in a special plane of the parameter space. These results confirm the existence of a multicritical point and an Ising-like critical line in the low-temperatureO(n)phase.

Suggested Citation

  • Wenan Guo & Henk W. J. Blöte & Bernard Nienhuis, 1999. "Phase Diagram Of A Loop On The Square Lattice," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 10(01), pages 301-308.
    • Handle: RePEc:wsi:ijmpcx:v:10:y:1999:i:01:n:s0129183199000206
    DOI: 10.1142/S0129183199000206
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