Title

Influence of Super-Ohmic Dissipation on a Disordered Quantum Critical Point

Abstract

We investigate the combined influence of quenched randomness and dissipation on a quantum critical point with O(N) order-parameter symmetry. Utilizing a strong-disorder renormalization group, we determine the critical behavior in one space dimension exactly. For super-ohmic dissipation, we find a Kosterlitz-Thouless type transition with conventional (power-law) dynamical scaling. The dynamical critical exponent depends on the spectral density of the dissipative baths. We also discuss the Griffiths singularities, and we determine observables.

Department(s)

Physics

Keywords and Phrases

Critical behavior; Dynamical critical exponent; Dynamical scaling; Griffiths singularities; Kosterlitz-Thouless; Ohmic dissipation; Order-parameter; Power-law; Quantum critical points; Quenched randomness; Renormalization group; Space dimensions; Spectral density; Statistical mechanics

International Standard Serial Number (ISSN)

0953-8984

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2011 Institute of Physics - IOP Publishing, All rights reserved.

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