Effects of dissipation on quantum phase transitions

Aharon Kapitulnik, Nadya Mason, Steven A. Kivelson, Sudip Chakravarty

Research output: Contribution to journalArticle

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 to describe the coupling of the system to a continuum of degrees of freedom representing the dissipative bath, we obtain 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 that differentiates them.

Original languageEnglish (US)
Article number125322
Pages (from-to)1253221-12532212
Number of pages11278992
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume63
Issue number12
StatePublished - Jan 1 2001

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Superconducting materials
dissipation
Phase transitions
insulators
Phase diagrams
Magnetic fields
baths
broken symmetry
degrees of freedom
phase diagrams
continuums
magnetic fields

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Kapitulnik, A., Mason, N., Kivelson, S. A., & Chakravarty, S. (2001). Effects of dissipation on quantum phase transitions. Physical Review B - Condensed Matter and Materials Physics, 63(12), 1253221-12532212. [125322].

Effects of dissipation on quantum phase transitions. / Kapitulnik, Aharon; Mason, Nadya; Kivelson, Steven A.; Chakravarty, Sudip.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 63, No. 12, 125322, 01.01.2001, p. 1253221-12532212.

Research output: Contribution to journalArticle

Kapitulnik, A, Mason, N, Kivelson, SA & Chakravarty, S 2001, 'Effects of dissipation on quantum phase transitions', Physical Review B - Condensed Matter and Materials Physics, vol. 63, no. 12, 125322, pp. 1253221-12532212.
Kapitulnik A, Mason N, Kivelson SA, Chakravarty S. Effects of dissipation on quantum phase transitions. Physical Review B - Condensed Matter and Materials Physics. 2001 Jan 1;63(12):1253221-12532212. 125322.
Kapitulnik, Aharon ; Mason, Nadya ; Kivelson, Steven A. ; Chakravarty, Sudip. / Effects of dissipation on quantum phase transitions. In: Physical Review B - Condensed Matter and Materials Physics. 2001 ; Vol. 63, No. 12. pp. 1253221-12532212.
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