Influence of Super-Ohmic Dissipation on a Disordered Quantum Critical Point
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.
T. Vojta et al., "Influence of Super-Ohmic Dissipation on a Disordered Quantum Critical Point," Journal of Physics: Condensed Matter, vol. 23, no. 9, Institute of Physics - IOP Publishing, Mar 2011.
The definitive version is available at https://doi.org/10.1088/0953-8984/23/9/094206
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)
Article - Journal
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