Vortex-line percolation in the three-dimensional complex |ψ|4 model
In discussing the phase transition of the three-dimensional complex ∣∣ψ∣∣4 theory, we study 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 investigate if both of them...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
20 September 2005
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| In: |
Physical review. B, Condensed matter and materials physics
Year: 2005, Volume: 72, Issue: 9, Pages: 1-9 |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.72.094511 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevB.72.094511 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevB.72.094511 
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| Author Notes: | Elmar Bittner, Axel Krinner, and Wolfhard Janke |
| Summary: | In discussing the phase transition of the three-dimensional complex ∣∣ψ∣∣4 theory, we study 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 investigate if both of them exhibit the same critical behavior leading to the same critical exponents and hence to a consistent description of the phase transition. Different percolation observables are taken into account and compared with each other. We find that different connectivity definitions for 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: | Im Titel ist die Zahl "4" hochgestellt Gesehen am 13.10.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1550-235X |
| DOI: | 10.1103/PhysRevB.72.094511 |