Order parameter symmetry and mode coupling effects at dirty superconducting quantum phase transitions

Details Order parameter symmetry and mode coupling effects at dirty superconducting quantum phase transitions Order parameter symmetry and mode coupling effects at dirty superconducting quantum phase transitions

2002-11-22

arxiv.org/abs/cond-mat/0211519v3

Phys. Rev. B 70, 104514 (2004)

Physics

Condensed Matter

Superconductivity

final version as published

Scientific paper

10.1103/PhysRevB.70.104514

We derive an order-parameter field theory for a quantum phase transition between a disordered metal and an exotic (non-s-wave) superconductor. Mode coupling effects between the order parameter and other fermionic soft modes lead to an effective long-range interaction between the anomalous density fluctuations which is reflected in singularities in the free energy functional. However, this long-range interaction is not strong enough to suppress disorder fluctuations. The asymptotic critical region is characterized by run-away flow to large disorder. For weak coupling, this asymptotic region is very narrow. It is preempted by a wide crossover regime with mean-field critical behavior and, in the p-wave case, logarithmic corrections to scaling in all dimensions.

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