Influence of superohmic dissipation on a disordered quantum critical point

Details Influence of superohmic dissipation on a disordered quantum critical point Influence of superohmic dissipation on a disordered quantum critical point

2010-08-06

arxiv.org/abs/1008.1106v2

J. Phys.: Condens. Matter 23, 094206 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 2 eps figures included, final version as published in the "Strongly Correlated Electron Systems" special issue of Jo

Scientific paper

10.1088/0953-8984/23/9/094206

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 superohmic 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.

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