We describe the thermal (kappa) and electrical (sigma) conductivities of quasi-one-dimensional wires, across a quantum phase transition from a superconductor to a metal induced by pair-breaking perturbations. Fluctuation corrections to BCS theory motivate a field theory for quantum criticality. We describe deviations in the Wiedemann-Franz ratio kappa/sigma T (where T is the temperature) from the Lorenz number (pi(2)/3)(k(B)/e)(2), which can act as sensitive tests of the theory. We also describe the crossovers out of the quantum-critical region into the metallic and superconducting phases.
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