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Quantum Critical Fluctuations in Disordered d-Wave Superconductors

Julia S. Meyer, Igor V. Gornyi, Alexander Altland

DOI 10.1103/PhysRevLett.90.107001 · Physical Review Letters

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Abstract

To explain the strong quasiparticle damping in the cuprates, Sachdev and collaborators proposed to couple the system to a critically fluctuating idxy- or is-order parameter mode. Here we generalize the approach to the presence of static disorder. In the id case, the order parameter dynamics becomes diffusive, but otherwise much of the phenomenology of the clean case remains intact. In contrast, the interplay of disorder and is-order parameter fluctuations leads to a secondary superconductor transition, with a critical temperature exponentially sensitive to the impurity concentration.

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