Effects of dissipation on a quantum critical point with disorder

Abstract

We study the effects of dissipation on a disordered quantum phase transition with O$(N)$ order parameter symmetry by applying a strong-disorder renormalization group to the Landau-Ginzburg-Wilson field theory of the problem. We find that Ohmic dissipation results in a non-perturbative infinite-randomness critical point with unconventional activated dynamical scaling while superohmic damping leads to conventional behavior. We discuss applications to the superconductor-metal transition in nanowires and to Hertz' theory of the itinerant antiferromagnetic transition.

4 pages, 1 figure, final version, as published

References in corpus (8)

• Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
• Quantum Griffiths effects in itinerant Heisenberg magnets
• Phase transition of one dimensional bosons with strong disorder
• Universal conductance of nanowires near the superconductor-metal quantum transition
• Absence of conventional quantum phase transitions in itinerant systems with disorder
• Percolation quantum phase transitions in diluted magnets
• Ordering near the percolation threshold in models of 2D interacting bosons with quenched dilution
• Quantum Critical Behavior of the Cluster Glass Phase

Cited by in corpus (10)

• Infinite-randomness quantum critical points induced by dissipation
• Theory of smeared quantum phase transitions
• Electronic Griffiths phase of the d=2 Mott transition
• Infinite randomness fixed point of the superconductor-metal quantum phase transition
• Excitations of the One Dimensional Bose-Einstein Condensates in a Random Potential
• Theory of the pairbreaking superconductor-metal transition in nanowires
• Gate Tunable Dissipation and "Superconductor-Insulator" Transition in Carbon Nanotube Josephson Transistors
• Absorbing-state phase transitions on percolating lattices
• Thermal expansion and Grueneisen parameter in quantum Griffiths phases
• Disordered loops in the two-dimensional antiferromagnetic spin-fermion model