skip to main content
OSTI.GOV 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

Journal Article · · Journal of Superconductivity and Novel Magnetism
 [1];  [1];  [2];  [3]
  1. Univ. of Perugia (Italy)
  2. SwissScientific, Geneva (Switzerland)
  3. Argonne National Lab. (ANL), Argonne, IL (United States)

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.

Research Organization:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
1510074
Journal Information:
Journal of Superconductivity and Novel Magnetism, Vol. 32, Issue 1; ISSN 1557-1939
Publisher:
SpringerCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

References (24)

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
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
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

Cited By (1)

Duality between coherent quantum phase-slip and the Josephson junction in nanowires by dual Hamiltonian method journal October 2019

Figures / Tables (1)


Similar Records

The Superconductor-Superinsulator Transition: S-duality and the QCD on the Desktop
Journal Article · Tue Jan 15 00:00:00 EST 2019 · Journal of Superconductivity and Novel Magnetism · OSTI ID:1510074

Disordered Berezinskii-Kosterlitz-Thouless transition and superinsulation
Journal Article · Mon Jan 22 00:00:00 EST 2018 · Physical Review B · OSTI ID:1510074

Field- and temperature-induced topological phase transitions in the three-dimensional N-component London superconductor
Journal Article · Wed Jun 01 00:00:00 EDT 2005 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:1510074