Infinite-randomness quantum critical points induced by dissipation

Details Infinite-randomness quantum critical points induced by dissipation Infinite-randomness quantum critical points induced by dissipation

2008-09-16

arxiv.org/abs/0809.2699v2

Phys. Rev. B 79, 024401 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 3eps figures embedded, final version as published

Scientific paper

10.1103/PhysRevB.79.024401

We develop a strong-disorder renormalization group to study quantum phase transitions with continuous O$(N)$ symmetry order parameters under the influence of both quenched disorder and dissipation. For Ohmic dissipation, as realized in Hertz' theory of the itinerant antiferromagnetic transition or in the superconductor-metal transition in nanowires, we find the transition to be governed by an exotic infinite-randomness fixed point in the same universality class as the (dissipationless) random transverse-field Ising model. We determine the critical behavior and calculate key observables at the transition and in the associated quantum Griffiths phase. We also briefly discuss the cases of superohmic and subohmic dissipations.

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