Meyer JS, Gornyi IV, Altland A. Quantum critical fluctuations in disordered d-wave superconductors.
PHYSICAL REVIEW LETTERS 2003;
90:107001. [PMID:
12689024 DOI:
10.1103/physrevlett.90.107001]
[Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/22/2002] [Indexed: 05/24/2023]
Abstract
To explain the strong quasiparticle damping in the cuprates, Sachdev and collaborators proposed to couple the system to a critically fluctuating id(xy)- 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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