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

  title={Discontinuity of the Spin-Wave Stiffness in the Two-Dimensional XY Model},
  author={Lincoln P Chayes},
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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