Dense loops, supersymmetry, and Goldstone phases in two dimensions

Details Dense loops, supersymmetry, and Goldstone phases in two dimensions Dense loops, supersymmetry, and Goldstone phases in two dimensions

2002-05-02

arxiv.org/abs/cond-mat/0205033v1

Phys.Rev.Lett. 90 (2003) 090601

Physics

Condensed Matter

Statistical Mechanics

RevTeX, 5 pages, 3 postscript figures

Scientific paper

10.1103/PhysRevLett.90.090601

Loop models in two dimensions can be related to O(N) models. The low-temperature dense-loops phase of such a model, or of its reformulation using a supergroup as symmetry, can have a Goldstone broken-symmetry phase for N<2. We argue that this phase is generic for -2< N <2 when crossings of loops are allowed, and distinct from the model of non-crossing dense loops first studied by Nienhuis [Phys. Rev. Lett. 49, 1062 (1982)]. Our arguments are supported by our numerical results, and by a lattice model solved exactly by Martins et al. [Phys. Rev. Lett. 81, 504 (1998)].

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