Berezinskii-Kosterlitz-Thouless transition in homogeneously disordered superconducting films

Abstract

We develop a theory for the vortex unbinding transition in homogeneously disordered superconducting films. This theory incorporates the effects of quantum, mesoscopic and thermal fluctuations stemming from length scales ranging from the superconducting coherence length down to the Fermi wavelength. In particular, we extend the renormalization group treatment of the diffusive nonlinear sigma model to the superconducting side of the transition. Furthermore, we explore the mesoscopic fluctuations of parameters in the Ginzburg-Landau functional. Using the developed theory, we determine the dependence of essential observables (including the vortex unbinding temperature, the superconducting density, as well as the temperature-dependent resistivity and thermal conductivity) on microscopic characteristics such as the disorder-induced scattering rate and bare interaction couplings.

References in corpus (6)

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• Superconductor-insulator transitions: Phase diagram and magnetoresistance
• Electronic thermal conductivity of disordered metals
• Keldysh Ginzburg-Landau action of fluctuating superconductors
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• Quantum transport theory for unconventional magnets: Interplay of altermagnetism and p-wave magnetism with superconductivity
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• Fluctuation-driven excess noise near superconducting phase transition
• Influence of structural disorder and Coulomb interactions in the superconductor-insulator transition applied to boron doped diamond
• Superconducting Diode Effect in Weak Localization Regime
• Superconducting phase transitions in disordered NbTiN films