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EnglishWe investigate the general features of the renormalization-group flow at the Berezinskii-Kosterlitz-Thouless (BKT) transition, providing a thorough quantitative description of the asymptotc critical behavior, including the multiplicative and subleading logarithmic corrections. For this purpose, we consider the RG flow of the sine-Gordon model around the renormalizable point which describes the BKT transition. We reduce the corresponding beta functions to a universal canonical form, valid to all perturbative orders. Then we determine the asymptotic solutions of the RG equations in various critical regimes: the infinite-volume critical behavior in the disordered phase, the finite-size scaling limit for homogeneous systems of finite size, and the trap-size scaling limit occurring in two-dimensional bosonic particle systems trapped by an external space-dependent potential.
| Autori interni: | ||
| Autori: | Pelissetto A; Vicari E | |
| Titolo: | Renormalization-group flow and asymptotic behaviors at the Berezinskii-Kosterlitz-Thouless transitions | |
| Anno del prodotto: | 2013 | |
| Digital Object Identifier (DOI): | 10.1103/PhysRevE.87.032105 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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