Effects of dissipation on quantum phase transitions

Details Effects of dissipation on quantum phase transitions Effects of dissipation on quantum phase transitions

2000-09-13

arxiv.org/abs/cond-mat/0009201v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 4 figures

Scientific paper

10.1103/PhysRevB.63.125322

We discuss the effect of dissipation on quantum phase transitions. In particular we concentrate on the Superconductor to Insulator and Quantum-Hall to Insulator transitions. By invoking a phenomenological parameter $\alpha$ to describe the coupling of the system to a continuum of degrees of freedom representing the dissipative bath, we obtain new phase diagrams for the quantum Hall and superconductor-insulator problems. Our main result is that, in two-dimensions, the metallic phases observed in finite magnetic fields (possibly also strictly zero field) are adiabatically deformable from one to the other. This is plausible, as there is no broken symmetry which differentiates them.

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