Discontinuity of the Spin-Wave Stiffness in the Two-Dimensional XY Model

@inproceedings{Chayes1998DiscontinuityOT,
  title={Discontinuity of the Spin-Wave Stiffness in the Two-Dimensional XY Model},
  author={Lincoln P Chayes},
  year={1998}
}
Using a graphical representation based on the Wolff algorithm, the (classical) d-dimensional XY model and some related spin-systems are studied. It is proved that in d = 2, the predicted discontinuity in the spin-wave stiffness indeed occurs. Further, the critical properties of the spin-system are related to percolation properties of the graphical representation. In particular, a suitably defined notion of percolation in the graphical representation is proved to be the necessary and sufficient… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 16 references

On the Random Cluster Model I . Introduction and Relation to Other Models

  • C. M. Fortuin, P. W. Kasteleyn
  • Physica A
  • 1998

On the Length of the Shortest Crossing in the SuperCritical Phase of Mandelbrot ’ s Percolation Process

  • J. T. Chayes, L. Chayes
  • Stoc . Proc . Appl .
  • 1996

Percolation and Random Media

  • K. Osterwalder, R. Stora, J. T. Chayes, L. Chayes, D. S. Fisher, T. Spencer
  • Critical Phenomena , Random Systems and Gauge…
  • 1984

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