Vortex-line percolation in the three-dimensional complex Ginzburg-Landau 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 Ginzburg-Landau model
• Verf.angabe: Elmar Bittner, Axel Krinner and Wolfhard Janke
• E-Jahr: 2005
• Jahr: 23 Sep 2005
• Umfang: 6 S.
• Fussnoten: Gesehen am 13.10.2022
• Titel Quelle: Enthalten in: De.arxiv.org
• Ort Quelle: [S.l.] : Arxiv.org, 1991
• Jahr Quelle: 2005
• Band/Heft Quelle: (2005), Artikel-ID 0509105, Seite 1-6
• DOI: doi:10.48550/arXiv.hep-lat/0509105
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: High Energy Physics - Lattice
• K10plus-PPN: 1804351407

Abstract

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.