Kertesz Line in the Three-Dimensional Compact U(1) Lattice Higgs Model

Details Kertesz Line in the Three-Dimensional Compact U(1) Lattice Higgs Model Kertesz Line in the Three-Dimensional Compact U(1) Lattice Higgs Model

2005-03-24

arxiv.org/abs/cond-mat/0503599v1

Phys.Rev.Lett.95:051601,2005

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.95.051601

The three-dimensional lattice Higgs model with compact U(1) gauge symmetry and unit charge is investigated by means of Monte Carlo simulations. The full model with fluctuating Higgs amplitude is simulated, and both energy as well as topological observables are measured. The data show a Higgs and a confined phase separated by a well-defined phase boundary, which is argued to be caused by proliferating vortices. For fixed gauge coupling, the phase boundary consists of a line of first-order phase transitions at small Higgs self-coupling, ending at a critical point. The phase boundary then continues as a Kertesz line across which thermodynamic quantities are nonsingular. Symmetry arguments are given to support these findings.

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