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Scaling of the magnetic permeability at the Berezinskii–Kosterlitz–Thouless transition from Coulomb gas simulations
KTH, School of Engineering Sciences (SCI), Physics.
KTH, School of Engineering Sciences (SCI), Physics.ORCID iD: 0000-0002-9881-7857
KTH, School of Engineering Sciences (SCI), Physics.ORCID iD: 0000-0003-1164-0831
2018 (English)In: Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, E-ISSN 1742-5468, Vol. 2018, no 12, article id 123203Article in journal (Refereed) Published
Abstract [en]

A new approach to the Berezinskii–Kosterlitz–Thouless transition in the two-dimensional Coulomb gas model is explored by Monte Carlo simulation and finite size scaling. The usual mapping of a neutral two-dimensional superconductor in zero magnetic field to a Coulomb gas leads to an unscreened logarithmic interaction between the vortices, and with periodic boundary conditions vortex configurations are always vorticity neutral with an equal number of plus and minus vortices. We demonstrate that relaxing the neutrality condition has certain advantages. It leads to non-neutral vortex configurations that can appear in real systems with open boundary conditions and permits calculation of the compressibility, which for thin film superconductors corresponds to the magnetic permeability. The vortex-number fluctuation has remarkable scaling properties at and below the Berezinskii–Kosterlitz–Thouless transition. The fugacity variable becomes dangerously irrelevant in the low-temperature phase and leads to a multiplicative scaling correction to the mean-square vortex-number fluctuation and to the magnetic permeability. This multiplicative correction strongly affects the scaling properties of the vorticity fluctuation at and below the transition. Consequences of these findings are demonstrated using Monte Carlo simulations. Inclusion of the next-higher order correction to scaling is found to play an important role in the analysis of numerical data for the vortex number fluctuation and permits accurate determination of the critical properties.

Place, publisher, year, edition, pages
IOP Publishing , 2018. Vol. 2018, no 12, article id 123203
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:kth:diva-248133DOI: 10.1088/1742-5468/aae855ISI: 000452045600003Scopus ID: 2-s2.0-85059878709OAI: oai:DiVA.org:kth-248133DiVA, id: diva2:1302303
Note

QC 20190513

Available from: 2019-04-04 Created: 2019-04-04 Last updated: 2019-05-13Bibliographically approved

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Publisher's full textScopushttp://dx.doi.org/10.1088/1742-5468/aae855

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Diaz-Mendez, RogelioLidmar, JackWallin, Mats

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