Critical Behaviour of the Two Dimensional Step Model

Details Critical Behaviour of the Two Dimensional Step Model Critical Behaviour of the Two Dimensional Step Model

1995-08-31

arxiv.org/abs/hep-lat/9508033v2

Phys.Rev. B53 (1996) 11568-11570

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages latex, 3 postscript figures, compressed and uuencoded (revised remarks on Lee_Yang theorem, version to appear in Phys

Scientific paper

10.1103/PhysRevB.53.11568

We use finite--size scaling of Lee--Yang partition function zeroes to study the critical behaviour of the two dimensional step or sgn $O(2)$ model. We present evidence that, like the closely related $XY$--model, this has a phase transition from a disordered high temperature phase to a low temperature massless phase where the model remains critical. The critical parameters (including logarithmic corrections) are compatible with those of the $XY$--model indicating that both models belong to the same universality class.

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