Effects of dissipation on quantum phase transitions

2000/09/13 by Aharon Kapitulnik, A. Kapitulnik, Nadya Mason +2 · 7 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.63.125322

13 pages, 4 figures

arxiv created 2000/09/13 · openalex publication_date 2001/03/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \ensuremathα 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.

Citations

• Metallic Low-Temperature Resistivity in a 2D Electron System Over an Extended Temperature Range
• Continuous Quantum Phase Transitions
• Anderson Localization due to a Random Magnetic Field in Two Dimensions
• Quantum tunnelling in a dissipative system
• Equivalence of the resonating-valence-bond and fractional quantum Hall states
• The Superconductor-Insulator Transition in a Tunable Dissipative Environment
• Scaling Theory of Localization: Absence of Quantum Diffusion in Two Dimensions
• Effective field theory of electron motion in the presence of random magnetic flux
• Percolation, quantum tunnelling and the integer Hall effect
• Dynamics of the dissipative two-state system

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• Effect of inhomogeneous coupling on BCS superconductors
• Vortices and Quasiparticles near the Superconductor-Insulator Transition in Thin Films
• Power law resistivity behavior in 2D superconductors across the magnetic field-tuned superconductor-insulator transition
• Unifying Model for Several Classes of Two-Dimensional Phase Transition