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Influence of super-ohmic dissipation on a disordered quantum critical point
Thomas Vojta1, José A Hoyos, Priyanka Mohan
1Department of Physics, Missouri University of Science and Technology, Rolla, MO 65409, USA.
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.
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