English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We revisit the scaling properties of the resistivity and the current-voltagecharacteristics at and below the Berezinskii-Kosterlitz-Thouless transition,both in zero and nonzero magnetic field. The scaling properties are derived byintegrating the renormalization group flow equations up to a scale where theycan be reliably matched to simple analytic expressions. The vortex fugacityturns out to be dangerously irrelevant for these quantities below Tc, therebyaltering the scaling behavior. We derive the possible crossover effects as thecurrent, magnetic field, or system size is varied, and find a strongmultiplicative logarithmic correction near Tc, all of which is necessary toaccount for when interpreting experiments and simulation data. Our analysisclarifies a longstanding discrepancy between the finite size dependence foundin many simulations and the current-voltage characteristics of experiments. Wefurther show that the logarithmic correction can be avoided by approaching thetransition in a magnetic field, thereby simplifying the scaling analysis. Weconfirm our results by large-scale numerical simulations, and calculate thedynamic critical exponent z, for relaxational Langevin dynamics and forresistively and capacitively shunted Josephson junction dynamics.

Scaling, Finite Size Effects, and Crossovers of the Resistivity and Current-Voltage Characteristics in Two-Dimensional Superconductors