Vortex-line percolation in the three-dimensional complex |ψ|4 model

• Verfasst von: Bittner, Elmar [VerfasserIn]
• Verfasst von: Krinner, Axel [VerfasserIn]
• Verfasst von: Janke, Wolfhard [VerfasserIn]
• Titel: Vortex-line percolation in the three-dimensional complex |ψ|4 model
• Verf.angabe: Elmar Bittner, Axel Krinner, and Wolfhard Janke
• E-Jahr: 2005
• Jahr: 20 September 2005
• Umfang: 9 S.
• Fussnoten: Im Titel ist die Zahl "4" hochgestellt ; Gesehen am 13.10.2022
• Titel Quelle: Enthalten in: Physical review / B
• Ort Quelle: College Park, Md. : APS, 1970
• Jahr Quelle: 2005
• Band/Heft Quelle: 72(2005), 9, Artikel-ID 094511, Seite 1-9
• ISSN Quelle: 1550-235X
• DOI: doi:10.1103/PhysRevB.72.094511
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1804350443

Abstract

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.