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Physical Review Letters

First-Order Transition in an xy Model with Nearest-Neighbor Interactions

Eytan Domany, Michael Schick C, Robert H. Swendsen

Published Apr 23, 1984• 139 citations
Publisher

Abstract

An $x\ensuremath{-}y$ model with nearest-neighbor interaction $V(\ensuremath{\theta})=2J{1\ensuremath{-}{[{cos}^{2}(\frac{\ensuremath{\theta}}{2})]}^{{p}^{2}}}$ is studied by Monte Carlo simulation. The model has a transition from a paramagnetic to an algebraic (massless) phase. An increase of the parameter $p$, which changes the shape of the potential, brings about a change in the nature of the transition from continuous to first order.

DOI
10.1103/physrevlett.52.1535

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