Finding the elusive sliding phase in superfluid-normal phase transition smeared by c-axis disorder

Abstract

We consider a system composed of a stack of weakly Josephson coupled superfluid layers with c-axis disorder in the form of random superfluid stiffnesses and vortex fugacities in each layer as well as random inter-layer coupling strengths. In the absence of disorder this system has a 3D XY type superfluid-normal phase transition as a function of temperature. We develop a functional renormalization group to treat the effects of disorder, and demonstrate that the disorder results in the smearing of the superfluid normal phase transition via the formation of a Griffiths phase. Remarkably, in the Griffiths phase, the emergent power-law distribution of the inter-layer couplings gives rise to sliding Griffiths superfluid, with an anisotropic critical current, and with a finite stiffness in a-b direction along the layers, and a vanishing stiffness perpendicular to it.

4+epsilon pages, 4 figures

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• An Anomalously Elastic, Intermediate Phase in Randomly Layered Superfluids, Superconductors, and Planar Magnets
• The nature of the phase transition in the cuprates as revealed by a magnetic field free stiffness meter
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• Parallel and Perpendicular Susceptibility Above $T_c$ in La${}_{2-x}$Sr${}_x$CuO${}_4$ Single Crystals
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• Griffiths Physics in an Ultracold Bose Gas
• Monte Carlo simulations of a disordered superconductor-metal quantum phase transition
• The two critical temperatures conundrum in La${}_{1.83}$Sr${}_{0.17}$CuO${}_4$