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

Title: Self-duality and a Hall-insulator phase near the superconductor-to-insulator transition in indium-oxide films

Abstract

We combine measurements of the longitudinal ( ρ x x ) and Hall ( ρ x y ) resistivities of disordered 2D amorphous indium-oxide films to study the magnetic-field tuned superconductor-to-insulator transition (H-SIT) in the T 0 limit. At the critical field, H c , the full resistivity tensor is T independent with ρ x x ( H c ) = h / 4 e 2 and ρ x y ( H c ) = 0 within experimental uncertainty in all films (i.e., these appear to be “universal” values); this is strongly suggestive that there is a particle–vortex self-duality at H = H c . The transition separates the (presumably) superconducting state at H < H c from a “Hall-insulator” phase in which ρ x x as T 0 whereas ρ x y approaches a nonzero value smaller than its “classical value” H / n e c ; i.e., 0 < ρ x y < H / n e c . A still higher characteristic magnetic field, H c * > H c , at which the Hall resistance is T independent and roughly equal to its classical value, ρ x y H / n e c , marks an additional crossover to a high-field regime (probably to a Fermi insulator) in which ρ x y > H / n e c and possibly diverges as T 0 . We also highlight a profound analogy between the H-SIT and quantum-Hall liquid-to-insulator transitions (QHIT).

Authors:
; ; ;
Publication Date:
Research Org.:
National Renewable Energy Lab. (NREL), Golden, CO (United States)
Sponsoring Org.:
USDOE Office of Energy Efficiency and Renewable Energy (EERE); National Science Foundation (NSF)
OSTI Identifier:
1235511
Alternate Identifier(s):
OSTI ID: 1236160
Report Number(s):
NREL/JA-5J00-65695
Journal ID: ISSN 0027-8424; /pnas/113/2/280.atom
Grant/Contract Number:  
AC36-08GO28308; AC02-76SF00515; DMR-1157490
Resource Type:
Published Article
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 113 Journal Issue: 2; Journal ID: ISSN 0027-8424
Publisher:
National Academy of Sciences
Country of Publication:
United States
Language:
English
Subject:
14 SOLAR ENERGY; 36 MATERIALS SCIENCE; superconductor-insulator transition; quantum phase transition; self-duality; Hall insulator

Citation Formats

Breznay, Nicholas P., Steiner, Myles A., Kivelson, Steven Allan, and Kapitulnik, Aharon. Self-duality and a Hall-insulator phase near the superconductor-to-insulator transition in indium-oxide films. United States: N. p., 2015. Web. doi:10.1073/pnas.1522435113.
Breznay, Nicholas P., Steiner, Myles A., Kivelson, Steven Allan, & Kapitulnik, Aharon. Self-duality and a Hall-insulator phase near the superconductor-to-insulator transition in indium-oxide films. United States. doi:10.1073/pnas.1522435113.
Breznay, Nicholas P., Steiner, Myles A., Kivelson, Steven Allan, and Kapitulnik, Aharon. Mon . "Self-duality and a Hall-insulator phase near the superconductor-to-insulator transition in indium-oxide films". United States. doi:10.1073/pnas.1522435113.
@article{osti_1235511,
title = {Self-duality and a Hall-insulator phase near the superconductor-to-insulator transition in indium-oxide films},
author = {Breznay, Nicholas P. and Steiner, Myles A. and Kivelson, Steven Allan and Kapitulnik, Aharon},
abstractNote = {We combine measurements of the longitudinal ( ρ x x ) and Hall ( ρ x y ) resistivities of disordered 2D amorphous indium-oxide films to study the magnetic-field tuned superconductor-to-insulator transition (H-SIT) in the T → 0 limit. At the critical field, H c , the full resistivity tensor is T independent with ρ x x ( H c ) = h / 4 e 2 and ρ x y ( H c ) = 0 within experimental uncertainty in all films (i.e., these appear to be “universal” values); this is strongly suggestive that there is a particle–vortex self-duality at H = H c . The transition separates the (presumably) superconducting state at H < H c from a “Hall-insulator” phase in which ρ x x → ∞ as T → 0 whereas ρ x y approaches a nonzero value smaller than its “classical value” H / n e c ; i.e., 0 < ρ x y < H / n e c . A still higher characteristic magnetic field, H c * > H c , at which the Hall resistance is T independent and roughly equal to its classical value, ρ x y ≈ H / n e c , marks an additional crossover to a high-field regime (probably to a Fermi insulator) in which ρ x y > H / n e c and possibly diverges as T → 0 . We also highlight a profound analogy between the H-SIT and quantum-Hall liquid-to-insulator transitions (QHIT).},
doi = {10.1073/pnas.1522435113},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 2,
volume = 113,
place = {United States},
year = {2015},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1073/pnas.1522435113

Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

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


Scaling of the Hall resistivity in high- T c superconductors
journal, August 1993


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

Thickness–Magnetic Field Phase Diagram at the Superconductor-Insulator Transition in 2D
journal, December 1998


Dissipation Effects on the Superconductor-Insulator Transition in 2D Superconductors
journal, June 1999


Weak localization in indium oxide films
journal, January 1982


Superconductivity in the insulating phase above the field-tuned superconductor–insulator transition in disordered indium oxide films
journal, May 2005


Quantized Hall insulator: Transverse and longitudinal transport
journal, April 1997


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


Nature and boundary of the floating phase in a dissipative Josephson junction array
journal, February 2006


Low-temperature insulating phases of uniformly disordered two-dimensional superconductors
journal, September 1992


Continuous quantum phase transitions
journal, January 1997


Nature of the superconductor–insulator transition in disordered superconductors
journal, October 2007

  • Dubi, Yonatan; Meir, Yigal; Avishai, Yshai
  • Nature, Vol. 449, Issue 7164
  • DOI: 10.1038/nature06180

Zero-temperature Hall coefficient of an insulator
journal, August 1992


Superconductivity on the localization threshold and magnetic-field-tuned superconductor-insulator transition in TiN films
journal, April 2004

  • Baturina, T. I.; Islamov, D. R.; Bentner, J.
  • Journal of Experimental and Theoretical Physics Letters, Vol. 79, Issue 7
  • DOI: 10.1134/1.1765178

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

Superinsulator–superconductor duality in two dimensions
journal, April 2013


Anyon superconductivity and the fractional quantum Hall effect
journal, August 1989


On the nature of the Hall insulator
journal, June 1997


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


Quantum Metallicity on the High-Field Side of the Superconductor-Insulator Transition
journal, March 2007


Effective-Field-Theory Model for the Fractional Quantum Hall Effect
journal, January 1989


Disorder induced granularity in an amorphous superconductor
journal, June 1994


Superconducting-Insulating Transition in Two-Dimensional a -MoGe Thin Films
journal, April 1995


Observation of Quantum Dissipation in the Vortex State of a Highly Disordered Superconducting Thin Film
journal, February 1996


Hall Resistance in the Hopping Regime: A "Hall Insulator"?
journal, November 1995


Observation of a nondivergent Hall coefficient for a localized two-dimensional electron gas
journal, July 1993


Collapse of superconductivity in a hybrid tin–graphene Josephson junction array
journal, March 2014

  • Han, Zheng; Allain, Adrien; Arjmandi-Tash, Hadi
  • Nature Physics, Vol. 10, Issue 5
  • DOI: 10.1038/nphys2929

Self-Duality in Superconductor-Insulator Quantum Phase Transitions
journal, October 2000


Disorder-tuned transition between a quantum Hall liquid and Hall insulator
journal, June 1995


Destruction of localized electron pairs above the magnetic-field-driven superconductor-insulator transition in amorphous In-O films
journal, August 1998

  • Gantmakher, V. F.; Golubkov, M. V.; Dolgopolov, V. T.
  • Journal of Experimental and Theoretical Physics Letters, Vol. 68, Issue 4
  • DOI: 10.1134/1.567874

Approach to a superconductor-to-Bose-insulator transition in disordered films
journal, June 2008

  • Steiner, Myles A.; Breznay, Nicholas P.; Kapitulnik, Aharon
  • Physical Review B, Vol. 77, Issue 21
  • DOI: 10.1103/PhysRevB.77.212501

Duality symmetry and its breakdown in the vicinity of the superconductor–insulator transition
journal, June 2013

  • Ovadia, Maoz; Kalok, David; Sacépé, Benjamin
  • Nature Physics, Vol. 9, Issue 7
  • DOI: 10.1038/nphys2636

Field-Tuned Superconductor-Insulator Transition with and without Current Bias
journal, May 2002


Approaching zero-temperature metallic states in mesoscopic superconductor–normal–superconductor arrays
journal, December 2011

  • Eley, Serena; Gopalakrishnan, Sarang; Goldbart, Paul M.
  • Nature Physics, Vol. 8, Issue 1
  • DOI: 10.1038/nphys2154

Universal Conductance at the Superconductor-Insulator Transition
journal, March 1990


Global phase diagram in the quantum Hall effect
journal, July 1992


Effects of dissipation on quantum phase transitions
journal, March 2001


Superconductivity-Related Insulating Behavior
journal, March 2004


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


Experimental evidence for a two-dimensional quantized Hall insulator
journal, October 1998

  • Hilke, M.; Shahar, D.; Song, S. H.
  • Nature, Vol. 395, Issue 6703
  • DOI: 10.1038/27160