English

Effects of dissipation on quantum phase transitions

Mesoscale and Nanoscale Physics 2009-10-31 v1 Strongly Correlated Electrons

Abstract

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 α\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.

Keywords

Cite

@article{arxiv.cond-mat/0009201,
  title  = {Effects of dissipation on quantum phase transitions},
  author = {Aharon Kapitulnik and Nadya Mason and Steven A. Kivelson and Sudip Chakravarty},
  journal= {arXiv preprint arXiv:cond-mat/0009201},
  year   = {2009}
}

Comments

13 pages, 4 figures

R2 v1 2026-07-22T10:07:13.438Z