Dynamic scaling for 2D superconductors, Josephson junction arrays and superfluids

Abstract

The value of the dynamic critical exponent $z$ is studied for two-dimensional superconducting, superfluid, and Josephson Junction array systems in zero magnetic field via the Fisher-Fisher-Huse dynamic scaling. We find $z\simeq 5.6\pm 0.3$, a relatively large value indicative of non-diffusive dynamics. Universality of the scaling function is tested and confirmed for the thinnest samples. We discuss the validity of the dynamic scaling analysis as well as the previous studies of the Kosterlitz-Thouless-Berezinskii transition in these systems, the results of which seem to be consistent with simple diffusion ($z=2$). Further studies are discussed and encouraged.

19 pages in two-column RevTex, 8 embedded EPS figures

References in corpus (4)

• Where does the transport current flow in Bi2Sr2CaCu2O8 crystals?
• Dynamical universality classes of the superconducting phase transition
• A Review of the Real Space Renormalization Group Analysis of the Two- Dimensional Coulomb Gas, the Kosterlitz-Thouless-Berezinski Transition, and Extensions to a Layered Vortex Gas
• Universality of glass scaling in a YBa${}_2$Cu${}_3$O${}_{7-\delta }$ thin film

Cited by in corpus (26)

• Effective 2D thickness for the Berezinskii-Kosterlitz-Thouless-like transition in a highly underdoped La${}_{2-x}$Sr${}_x$CuO${}_4$
• Dynamic critical exponent of two-, three-, and four-dimensional XY models with relaxational and resistively shunted junction dynamics
• Analysis of current-voltage characteristics of two-dimensional superconductors: finite-size scaling behavior in the vicinity of the Kosterlitz Thouless transition
• Size effects in the nonlinear resistance and flux creep in a virtual Berezinskii-Kosterlitz-Thouless state of superconducting films
• Finite-Size Effects and Dynamical Scaling in Two-Dimensional Josephson Junction Arrays
• Phase diagram of underdoped cuprate superconductors: effect of Cooper-pair phase fluctuations
• Critical behavior of the frustrated antiferromagnetic six-state clock model on a triangular lattice
• Dynamic Impedance of Two-Dimensional Superconducting Films Near the Superconducting Transition
• Critical dynamics of superconducting BSCCO films
• Dynamic Scaling and Two-Dimensional High-Tc Superconductors
• Renormalization Group Study of the Intrinsic Finite Size Effect in 2D Superconductors
• Superconducting transition of a two-dimensional Josephson junction array in weak magnetic fields
• Evidence for Kosterlitz-Thouless type orientational ordering of CF${}_3$Br monolayers physisorbed on graphite
• Frustrated two-dimensional Josephson junction array near incommensurability
• Current-voltage characteristics of the two-dimensional XY model with Monte Carlo dynamics
• Manifestation of vortex depinning transition in nonlinear current-voltage characteristics of polycrystalline superconductor Y_{1-x}Pr_{x}Ba_2Cu_3O_7
• Ubiquitous finite-size scaling features in IV characteristics of various dynamic XY models in two dimensions
• Scaling, Finite Size Effects, and Crossovers of the Resistivity and Current-Voltage Characteristics in Two-Dimensional Superconductors
• A tool to estimate the critical dynamics and thickness of superconducting films and interfaces
• Fate of global superconductivity in arrays of long SNS junctions
• High-Tc Superconductivity in Ultra-thin Crystals: Implications for Microscopic Theory
• Universal R-C crossover in current-voltage characteristics for unshunted array of overdamped Nb-AlO_x-Nb Josephson junctions
• Gate-tunable crossover between vortex-interaction and pinning dominated regimes in Josephson-coupled Lead-islands on graphene
• NMR and NQR Fluctuation Effects in Layered Superconductors
• Dynamic critical properties of the vortex-glass transition derived from angular-dependent properties of La${}_{2-x}$Sr${}_x$CuO${}_4$ films
• Current-voltage characteristics and vortex dynamics in highly underdoped La${}_{2-x}$Sr${}_x$CuO${}_4$