How to measure the spatial correlations in disordered Berezinski-Kosterlitz-Thouless transition ?

Abstract

The Berezinski-Kosterlitz-Thouless transition is a unique two dimensional phase transition, separating two phases with exponentially and power-law decaying correlations, respectively. In disordered systems, these correlations propagate along favorable paths, with the transition marking the point where global coherence is lost. Here we propose an experimental method to probe locally these particular paths in superconducting thin films, which exhibit this transition, and demonstrate theoretically that close to the transition the coherence propagate along a ramified network, reminiscent of a percolation transition. We suggest and calculate experimentally accessible quantities that can shed light on the spatial correlations in the system as it approaches the critical point.

5 pages, 2x4 figures

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Cited by in corpus (9)

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• Global critical temperature in inhomogeneous superconductors induced by multifractality
• Percolative superconductivity in La2CuO4.06 by lattice granularity patterns with scanning micro X-ray absorption near edge structure
• Broadening of the Berezinskii-Kosterlitz-Thouless transition by correlated disorder
• Enhanced Amplitude for Superconductivity due to Spectrum-wide Wave Function Criticality in Quasiperiodic and Power-law Random Hopping Models
• Tunneling probe of fluctuating superconductivity in disordered thin films
• Effective Hamiltonian based Monte Carlo for the BCS to BEC crossover in the attractive Hubbard model
• The impact of speckle disorder on a superfluid Fermi system
• Kane-Fisher weak link physics in the clean scratched-XY model