Regensburg 2007 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 3: Critical phenomena and phase transitions
DY 3.3: Vortrag
Montag, 26. März 2007, 12:30–12:45, H2
Percolation of Vortex Networks in the U(1) Lattice Higgs Model — •Sandro Wenzel1, Adriaan Schakel2, Elmar Bittner1, and Wolfhard Janke1 — 1Institut für Theoretische Physik, Universität Leipzig, Postfach 100920, 04109 Leipzig — 2Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin
We study the properties of vortex networks in the U(1) lattice Higgs model in d=3 dimensions. Specifically, we investigate network percolation properties at a point in the parameter space of the theory where we see a distinct crossover from confining to non-confining behaviour in local observables, which is not accompanied by a thermodynamic phase transition. Recently, we argued that this crossover can be regarded as a Kertèsz line [1]. The aim of the present study is to explicitly determine the scaling behaviour of those global clusters and to give direct evidence of our previous argument. To get independent and unbiased results for critical exponents we have developed an automated tool in conjunction with multihistogramm reweighting which maximises the data collapse quality. For the clusters under consideration here, we get scaling exponents that are compatible with ordinary percolation theory.
[1] S. Wenzel, E. Bittner, W. Janke, A.M.J Schakel, A. Schiller, Phys. Rev. Lett. 95 (2005) 051601.