Abstract

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.

Department(s)

Physics

Keywords and Phrases

Article; Correlation Analysis; Energy; Flow; Low Temperature; Molecular Interaction; Phase Transition; Quantum Mechanics; Theory

Library of Congress Subject Headings

Superconductors

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2004 American Physical Society (APS), All rights reserved.

Included in

Physics Commons

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