The role of point-like topological excitations at criticality: from vortices to global monopoles

Details The role of point-like topological excitations at criticality: from vortices to global monopoles The role of point-like topological excitations at criticality: from vortices to global monopoles

2002-01-10

arxiv.org/abs/cond-mat/0201149v1

Phys.Rev.E65:066117,2002

Physics

Condensed Matter

14 pages, REVTEX, 13 eps figures

Scientific paper

10.1103/PhysRevE.65.066117

We determine the detailed thermodynamic behavior of vortices in the O(2) scalar model in 2D and of global monopoles in the O(3) model in 3D. We construct new numerical techniques, based on cluster decomposition algorithms, to analyze the point defect configurations. We find that these criteria produce results for the Kosterlitz-Thouless temperature in agreement with a topological transition between a polarizable insulator and a conductor, at which free topological charges appear in the system. For global monopoles we find no pair unbinding transition. Instead a transition to a dense state where pairs are no longer distinguishable occurs at T3 are drawn, based on the observed behavior.

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