Influence of superohmic 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 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.

12 pages, 2 eps figures included, final version as published in the "Strongly Correlated Electron Systems" special issue of Journal of Physics: Condensed Matter

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• Dissipation effects in random transverse-field Ising chains
• Contact process with temporal disorder
• Boundary-driven Lindblad dynamics of random quantum spin chains : strong disorder approach for the relaxation, the steady state and the current
• Adaptive Density-Matrix Renormalization-Group study of the disordered antiferromagnetic spin-1/2 Heisenberg chain
• Critical properties of the Susceptible-Exposed-Infected model with correlated temporal disorder
• Percolation transition in quantum Ising and rotor models with sub-Ohmic dissipation
• Renormalization theory of disordered contact processes with heavy-tailed dispersal
• Critical Behavior and Collective Modes at the Superfluid Transition in Amorphous Systems
• Amplitude mode at the superfluid-insulator transition on a random lattice