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Renormalization-group flow and asymptotic behaviors at the Berezinskii-Kosterlitz-Thouless transitions

Pelissetto, Andrea and Vicari, Ettore (2013) Renormalization-group flow and asymptotic behaviors at the Berezinskii-Kosterlitz-Thouless transitions. Physical review. E, Statistical, nonlinear, and soft matter physics, 87 . 032105. ISSN 1550-2376

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We 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 2D bosonic particle systems trapped by an external space-dependent potential.

Item Type: Article
Additional Information: Imported from arXiv
Subjects: Area02 - Scienze fisiche > FIS/02 - Fisica teorica, modelli e metodi matematici
Divisions: Dipartimenti (from 2013) > DIPARTIMENTO DI FISICA
Depositing User: dott.ssa Sandra Faita
Date Deposited: 08 Apr 2015 18:00
Last Modified: 08 Apr 2015 18:00
URI: http://eprints.adm.unipi.it/id/eprint/1773

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