Theory of quantum metal to superconductor transitions in highly conducting systems

Abstract

We derive the theory of the quantum (zero temperature) superconductor to metal transition in disordered materials when the resistance of the normal metal near criticality is small compared to the quantum of resistivity. This can occur most readily in situations in which ``Anderson's theorem'' does not apply. We explicitly study the transition in superconductor-metal composites, in an s-wave superconducting film in the presence of a magnetic field, and in a low temperature disordered d-wave superconductor. Near the point of the transition, the distribution of the superconducting order parameter is highly inhomogeneous. To describe this situation we employ a procedure which is similar to that introduced by Mott for description of the temperature dependence of the variable range hopping conduction. As the system approaches the point of the transition from the metal to the superconductor, the conductivity of the system diverges, and the Wiedemann-Franz law is violated. In the case of d-wave (or other exotic) superconductors we predict the existence of (at least) two sequential transitions as a function of increasing disorder: a d-wave to s-wave, and then an s-wave to metal transition.

References in corpus (21)

• Role of Spatial Amplitude Fluctuations in Highly Disordered s-Wave Superconductors
• Eigenfunction fractality and pseudogap state near superconductor-insulator transition
• Dissipation effects on the superconductor-insulator transition in 2-D superconductors
• Griffiths effects and quantum critical points in dirty superconductors without spin-rotation invariance: One-dimensional examples
• Magnetic neutron scattering in hole doped cuprate superconductors
• Griffiths Singularities in the Disordered Phase of a Quantum Ising Spin Glass
• Disappearance of antiferromagnetic spin excitations in over-doped La${}_{2-x}$Sr${}_x$CuO${}_4$
• Disorder and Quantum Fluctuations in Superconducting Films in Strong Magnetic Fields
• Magnetically Induced Metallic Phase in Superconducting Tantalum Films
• Theory of charge transport in diffusive normal metal / unconventional singlet superconductor contacts
• Effects of dissipation on a quantum critical point with disorder
• Quantum Superconductor-Metal Transition in a 2D Proximity-Coupled Array
• Quantum superconductor-metal transition
• Weak coupling d-wave BCS superconductivity and unpaired electrons in overdoped La_{2-x}Sr_{x}CuO_{4} single crystals
• Quantum superconductor-metal transition in a proximity array
• Delocalized fermions in underdoped cuprates
• A common Universality class for the three-dimensional Vortex Glass and Chiral Glass?
• Superconductor-to-Metal Transitions in Dissipative Chains of Mesoscopic Grains and Nanowires
• Zero-temperature d-wave superconducting phase transition
• Impact of disorder on unconventional superconductors with competing ground states
• Low temperature thermodynamics of inverse square spin models in one dimension

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• Strongly-overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$: Evidence for Josephson-coupled grains of strongly-correlated superconductor
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• Signature of Cooper Pairs in the Non-Superconducting Phases of Amorphous Superconducting Tantalum Films
• Investigating superconductor-insulator transition in thin films using drag resistance:Theoretical analysis of a proposed experiment
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• Avalanches and hysteresis in frustrated superconductors and XY-spin-glasses
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• Disorder and magnetic field induced Bose-metal state in two-dimensional Ta${}_x$(SiO${}_2$)${}_{1-x}$ granular films
• Vanishing Hall Conductance in the Phase Glass Bose Metal at Zero Temperature
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• Negative-U Superconductivity on the Surface of Topological Insulators
• Interplay between density and superconducting quantum critical fluctuations
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• Modulation of pairing symmetry with bond disorder in unconventional superconductors
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