2005 | OriginalPaper | Buchkapitel
Phasediagram and Scaling Properties of the Projected SO(5) Model in Three Dimensions
verfasst von : Martin Jöstingmeier, Ansgar Dorneich, Enrico Arrigoni, Werner Hanke, Shou-Cheng Zhang
Erschienen in: High Performance Computing in Science and Engineering, Munich 2004
Verlag: Springer Berlin Heidelberg
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We study the scaling properties of the quantum projected
SO
(5) model in three dimensions by means of a highly accurate Quantum-Monte-Carlo analysis. Within the parameter regime studied (temperature and system size), we show that the scaling behavior is consistent with a
SO
(5)-symmetric critical behavior in the numerically accessible region. This holds both when the symmetry breaking is caused by quantum fluctuations only as well as when also the static (mean-field) symmetry is moderately broken. We argue that possible departure away from the
SO
(5) - symmetric scaling occurs only in an extremely narrow parameter regime, which is inaccessible both experimentally and numerically.