Vortex-line percolation in the three-dimensional complex Ginzburg-Landau model
We study the phase transition of the three-dimensional complex |psi|^4 theory by considering the geometrically defined vortex-loop network as well as the magnetic properties of the system in the vicinity of the critical point. Using high-precision Monte Carlo techniques we examine an alternative for...
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| Main Authors: | , , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
23 Sep 2005
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| In: |
Arxiv
Year: 2005, Pages: 1-6 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/hep-lat/0509105
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| Author Notes: | Elmar Bittner, Axel Krinner and Wolfhard Janke |
| Summary: | We study the phase transition of the three-dimensional complex |psi|^4 theory by considering the geometrically defined vortex-loop network as well as the magnetic properties of the system in the vicinity of the critical point. Using high-precision Monte Carlo techniques we examine an alternative formulation of the geometrical excitations in relation to the global O(2)-symmetry breaking, and check if both of them exhibit the same critical behavior leading to the same critical exponents and therefore to a consistent description of the phase transition. Different percolation observables are taken into account and compared with each other. We find that different definitions of constructing the vortex-loop network lead to different results in the thermodynamic limit, and the percolation thresholds do not coincide with the thermodynamic phase transition point. |
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| Item Description: | Gesehen am 13.10.2022 |
| Physical Description: | Online Resource |