skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: The Superconductor-Superinsulator Transition: S-duality and the QCD on the Desktop

Abstract

We show that the nature of quantum phases around the superconductor-insulator transition (SIT) is controlled by charge-vortex topological interactions, and does not depend on the details of material parameters and disorder. We find three distinct phases, superconductor, superinsulator, and bosonic topological insulator. The superinsulator is a state of matter with infinite resistance in a finite temperature range, which is the S-dual of the superconductor and in which charge transport is prevented by electric strings binding charges of opposite sign. The electric strings ensuring linear confinement of charges are generated by instantons and are dual to superconducting Abrikosov vortices. Material parameters and disorder enter the London penetration depth of the superconductor, the string tension of the superinsulator and the quantum fluctuation parameter driving the transition between them. They are entirely encoded in four phenomenological parameters of a topological gauge theory of the SIT. Finally, we point out that, in the context of strong coupling gauge theories, the many-body localization phenomenon that is often referred to as an underlying mechanism for superinsulation is a mere transcription of the well-known phenomenon of confinement into solid-state physics language and is entirely driven by endogenous disorder embodied by instantons with no need of exogenous disorder.

Authors:
 [1];  [1];  [2];  [3]
  1. Univ. of Perugia (Italy)
  2. SwissScientific, Geneva (Switzerland)
  3. Argonne National Lab. (ANL), Argonne, IL (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
OSTI Identifier:
1510074
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Superconductivity and Novel Magnetism
Additional Journal Information:
Journal Volume: 32; Journal Issue: 1; Journal ID: ISSN 1557-1939
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Diamantini, M. Cristina, Gammaitoni, Luca, Trugenberger, Carlo A., and Vinokur, Valerii M. The Superconductor-Superinsulator Transition: S-duality and the QCD on the Desktop. United States: N. p., 2018. Web. doi:10.1007/s10948-018-4943-x.
Diamantini, M. Cristina, Gammaitoni, Luca, Trugenberger, Carlo A., & Vinokur, Valerii M. The Superconductor-Superinsulator Transition: S-duality and the QCD on the Desktop. United States. doi:10.1007/s10948-018-4943-x.
Diamantini, M. Cristina, Gammaitoni, Luca, Trugenberger, Carlo A., and Vinokur, Valerii M. Wed . "The Superconductor-Superinsulator Transition: S-duality and the QCD on the Desktop". United States. doi:10.1007/s10948-018-4943-x. https://www.osti.gov/servlets/purl/1510074.
@article{osti_1510074,
title = {The Superconductor-Superinsulator Transition: S-duality and the QCD on the Desktop},
author = {Diamantini, M. Cristina and Gammaitoni, Luca and Trugenberger, Carlo A. and Vinokur, Valerii M.},
abstractNote = {We show that the nature of quantum phases around the superconductor-insulator transition (SIT) is controlled by charge-vortex topological interactions, and does not depend on the details of material parameters and disorder. We find three distinct phases, superconductor, superinsulator, and bosonic topological insulator. The superinsulator is a state of matter with infinite resistance in a finite temperature range, which is the S-dual of the superconductor and in which charge transport is prevented by electric strings binding charges of opposite sign. The electric strings ensuring linear confinement of charges are generated by instantons and are dual to superconducting Abrikosov vortices. Material parameters and disorder enter the London penetration depth of the superconductor, the string tension of the superinsulator and the quantum fluctuation parameter driving the transition between them. They are entirely encoded in four phenomenological parameters of a topological gauge theory of the SIT. Finally, we point out that, in the context of strong coupling gauge theories, the many-body localization phenomenon that is often referred to as an underlying mechanism for superinsulation is a mere transcription of the well-known phenomenon of confinement into solid-state physics language and is entirely driven by endogenous disorder embodied by instantons with no need of exogenous disorder.},
doi = {10.1007/s10948-018-4943-x},
journal = {Journal of Superconductivity and Novel Magnetism},
number = 1,
volume = 32,
place = {United States},
year = {2018},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

Figure 1 Figure 1: Phase diagram of the vicinity of the SIT. Tuning the parameter g = (π/e2)$\sqrt{d/λ_⊥}$, one drives the system across the SIT. The quantity η characterizes the strength of quantum fluctuations in a given material.

Save / Share:

Works referenced in this record:

Quantum phase transitions in disordered two-dimensional superconductors
journal, August 1990


Comment on “Collective Cooper-Pair Transport in the Insulating State of Josephson-Junction Arrays”
journal, January 2009


Three-Dimensional Massive Gauge Theories
journal, April 1982


Superinsulator Phase of Two-Dimensional Superconductors
journal, October 1998


Superinsulator and quantum synchronization
journal, April 2008

  • Vinokur, Valerii M.; Baturina, Tatyana I.; Fistul, Mikhail V.
  • Nature, Vol. 452, Issue 7187
  • DOI: 10.1038/nature06837

Superconductor-insulator transition and energy localization
journal, November 2010


Presence of quantum diffusion in two dimensions: Universal resistance at the superconductor-insulator transition
journal, January 1990


Onset of superconductivity in the two-dimensional limit
journal, May 1989


Topological BF field theory description of topological insulators
journal, June 2011


Charge Berezinskii-Kosterlitz-Thouless transition in superconducting NbTiN films
journal, March 2018


Critical behavior at finite-temperature confinement transitions
journal, December 1982


Bose metal: Gauge-field fluctuations and scaling for field-tuned quantum phase transitions
journal, September 2001


Gauge theories of Josephson junction arrays
journal, September 1996


Evidence for a Finite-Temperature Insulator
journal, August 2015

  • Ovadia, M.; Kalok, D.; Tamir, I.
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep13503

On the phase transition towards permanent quark confinement
journal, June 1978


Experimental Evidence for a Collective Insulating State in Two-Dimensional Superconductors
journal, January 2005


Mutual Chern-Simons Landau-Ginzburg theory for continuous quantum phase transition of Z 2 topological order
journal, September 2009


Superinsulator–superconductor duality in two dimensions
journal, April 2013


Many-Body Localization Dynamics from Gauge Invariance
journal, January 2018


Charge and vortex dynamics in arrays of tunnel junctions
journal, March 1991


Superconductor-Insulator Transitions
journal, August 2010


Magnetic-field-tuned superconductor-insulator transition in two-dimensional films
journal, August 1990


Localized Superconductivity in the Quantum-Critical Region of the Disorder-Driven Superconductor-Insulator Transition in TiN Thin Films
journal, December 2007


Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states
journal, May 2006


    Figures / Tables found in this record:

      Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.