Abstract

We develop a strong-disorder renormalization group to study quantum phase transitions with continuous O(N) symmetry order parameters under the influence of both quenched disorder and dissipation. For Ohmic dissipation, as realized in Hertz's theory of the itinerant antiferromagnetic transition or in the superconductor-metal transition in nanowires, we find the transition to be governed by an exotic infinite-randomness fixed point in the same universality class as the (dissipationless) random transverse-field Ising model. We determine the critical behavior and calculate key observables at the transition and in the associated quantum Griffiths phase. We also briefly discuss the cases of super-Ohmic and sub-Ohmic dissipations.

Department(s)

Physics

Sponsor(s)

National Science Foundation (U.S.)
Research Corporation
University of Missouri Research Board

Keywords and Phrases

Critical Points; Ferromagnetic-Antiferromagnetic Transitions; Renormalisation; Renormalization; Superconducting Transitions; Symmetry

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2009 American Physical Society (APS), All rights reserved.

Included in

Physics Commons

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