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Scaling, finite siz...
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Andersson, AndreasKTH,Statistisk fysik
(författare)
Scaling, finite size effects, and crossovers of the resistivity and current-voltage characteristics in two-dimensional superconductors
- Artikel/kapitelEngelska2013
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American Physical Society,2013
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LIBRIS-ID:oai:DiVA.org:kth-124725
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https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-124725URI
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https://doi.org/10.1103/PhysRevB.87.224506DOI
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Språk:engelska
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Sammanfattning på:engelska
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Ämneskategori:ref swepub-contenttype
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Ämneskategori:art swepub-publicationtype
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QC 20130730
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We revisit the scaling properties of the resistivity and the current-voltage characteristics at and below the Berezinskii-Kosterlitz-Thouless transition, both in zero and nonzero magnetic fields. The scaling properties are derived by integrating the renormalization group flow equations up to a scale where they can be reliably matched to simple analytic expressions. The vortex fugacity turns out to be dangerously irrelevant for these quantities below T-c, thereby altering the scaling behavior. We derive the possible crossover effects as the current, magnetic field, or system size is varied, and find a strong multiplicative logarithmic correction near T-c, all of which is necessary to account for when interpreting experiments and simulation data. Our analysis clarifies a longstanding discrepancy between the finite size dependence found in many simulations and the current-voltage characteristics of experiments. We further show that the logarithmic correction can be avoided by approaching the transition in a magnetic field, thereby simplifying the scaling analysis. We confirm our results by large-scale numerical simulations, and calculate the dynamic critical exponent z, for relaxational Langevin dynamics and for resistively and capacitively shunted Josephson junction dynamics.
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Lidmar, JackKTH,Statistisk fysik(Swepub:kth)u1hihyek
(författare)
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KTHStatistisk fysik
(creator_code:org_t)
Sammanhörande titlar
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Ingår i:Physical Review B. Condensed Matter and Materials Physics: American Physical Society87:22, s. 224506-1098-01211550-235X
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