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Scaling, Finite Size Effects, and Crossovers of the Resistivity and Current-Voltage Characteristics in Two-Dimensional Superconductors
KTH, Skolan för teknikvetenskap (SCI), Teoretisk fysik, Statistisk fysik.
KTH, Skolan för teknikvetenskap (SCI), Teoretisk fysik, Statistisk fysik.ORCID-id: 0000-0002-9881-7857
(engelsk)Manuskript (preprint) (Annet vitenskapelig)
Abstract [en]

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 field. 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 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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Identifikatorer
URN: urn:nbn:se:kth:diva-96033OAI: oai:DiVA.org:kth-96033DiVA, id: diva2:529372
Merknad
QS 2012Tilgjengelig fra: 2012-05-30 Laget: 2012-05-30 Sist oppdatert: 2012-05-30bibliografisk kontrollert
Inngår i avhandling
1. Phase fluctuation phenomena in superconductors
Åpne denne publikasjonen i ny fane eller vindu >>Phase fluctuation phenomena in superconductors
2012 (engelsk)Doktoravhandling, med artikler (Annet vitenskapelig)
sted, utgiver, år, opplag, sider
Stockholm: KTH Royal Institute of Technology, 2012. s. ix, 65
Serie
Trita-FYS, ISSN 0280-316X ; 2012:28
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Identifikatorer
urn:nbn:se:kth:diva-95464 (URN)978-91-7501-380-0 (ISBN)
Disputas
2012-06-14, FB42, Albanova University Center, Roslagstullsbacken 21, Stockholm, 10:00 (engelsk)
Opponent
Veileder
Merknad
QC 20120530Tilgjengelig fra: 2012-05-30 Laget: 2012-05-25 Sist oppdatert: 2012-05-30bibliografisk kontrollert

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