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Scaling, finite siz...
Scaling, finite size effects, and crossovers of the resistivity and current-voltage characteristics in two-dimensional superconductors
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- Andersson, Andreas (author)
- KTH,Statistisk fysik
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- Lidmar, Jack (author)
- KTH,Statistisk fysik
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(creator_code:org_t)
- American Physical Society, 2013
- 2013
- English.
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In: Physical Review B. Condensed Matter and Materials Physics. - : American Physical Society. - 1098-0121 .- 1550-235X. ; 87:22, s. 224506-
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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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.
Subject headings
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
Keyword
- Josephson-Junction Arrays
- Iv Characteristics
- Phase-Transitions
- Coulomb Gas
- Xy Models
- Dynamics
- Films
- Exponent
Publication and Content Type
- ref (subject category)
- art (subject category)
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