Critical behavior at a dynamic vortex insulator-to-metal transition

Poccia, Nicola; Baturina, Tatyana I.; Coneri, Francesco; Molenaar, Cor G.; Wang, X. Renshaw; Bianconi, Ginestra; Brinkman, Alexander; Hilgenkamp, Hans; Golubov, Alexander A.; Vinokur, Valerii M.

doi:10.1126/science.1260507

Title: Critical behavior at a dynamic vortex insulator-to-metal transition

Abstract

An array of superconducting islands placed on a normal metal film offers a tunable realization of nanopatterned superconductivity. This system enables elucidating open questions concerning the nature of competing vortex states and phase transitions between them. A square array creates the egg crate potential in which magnetic field-induced vortices are frozen into a vortex insulator. We observe a vortex insulator-to-vortex metal transition driven by the applied electric current and determine critical exponents strikingly coinciding with those for thermodynamic liquid-gas transition. Lastly, our findings offer a comprehensive description of dynamic critical behavior and establish a deep connection between equilibrium and nonequilibrium phase transitions.

Authors:

Poccia, Nicola ^[1]; Baturina, Tatyana I. ^[2]; Coneri, Francesco ^[3]; Molenaar, Cor G. ^[3]; Wang, X. Renshaw ^[3]; Bianconi, Ginestra ^[4]; Brinkman, Alexander ^[3]; Hilgenkamp, Hans ^[3]; Golubov, Alexander A. ^[5]; Vinokur, Valerii M. ^[6]

Univ. of Twente, Enschede (Netherlands); Rome International Center for Materials Science Superstripes (RICMASS), Roma (Italy)
Siberian Branch of the Russian Academy of Sciences, Novosibirsk (Russia); Novosibirsk State Univ., Novosibirsk (Russia); Argonne National Lab. (ANL), Argonne, IL (United States)
Univ. of Twente, Enschede (Netherlands)
Queen Mary Univ. of London, London (United Kingdom)
Univ. of Twente, Enschede (Netherlands); Moscow Institute of Physics and Technology, Moscow District (Russia)
Argonne National Lab. (ANL), Argonne, IL (United States)

Publication Date:: Thu Sep 10 00:00:00 EDT 2015

Research Org.:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES); Materials Sciences and Engineering Division

OSTI Identifier:: 1352822

Grant/Contract Number:: AC02-06CH11357

Resource Type:: Accepted Manuscript

Journal Name:: Science

Additional Journal Information:: Journal Volume: 349; Journal Issue: 6253; Journal ID: ISSN 0036-8075

Publisher:: AAAS

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats


                    Poccia, Nicola, Baturina, Tatyana I., Coneri, Francesco, Molenaar, Cor G., Wang, X. Renshaw, Bianconi, Ginestra, Brinkman, Alexander, Hilgenkamp, Hans, Golubov, Alexander A., and Vinokur, Valerii M. Critical behavior at a dynamic vortex insulator-to-metal transition.  United States: N. p., 2015. 
Web.  doi:10.1126/science.1260507.

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                    Poccia, Nicola, Baturina, Tatyana I., Coneri, Francesco, Molenaar, Cor G., Wang, X. Renshaw, Bianconi, Ginestra, Brinkman, Alexander, Hilgenkamp, Hans, Golubov, Alexander A., & Vinokur, Valerii M. Critical behavior at a dynamic vortex insulator-to-metal transition.  United States.  https://doi.org/10.1126/science.1260507

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                    Poccia, Nicola, Baturina, Tatyana I., Coneri, Francesco, Molenaar, Cor G., Wang, X. Renshaw, Bianconi, Ginestra, Brinkman, Alexander, Hilgenkamp, Hans, Golubov, Alexander A., and Vinokur, Valerii M. Thu .  
"Critical behavior at a dynamic vortex insulator-to-metal transition".  United States.  https://doi.org/10.1126/science.1260507.  https://www.osti.gov/servlets/purl/1352822.

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@article{osti_1352822,

  title        = {Critical behavior at a dynamic vortex insulator-to-metal transition},

  author       = {Poccia, Nicola and Baturina, Tatyana I. and Coneri, Francesco and Molenaar, Cor G. and Wang, X. Renshaw and Bianconi, Ginestra and Brinkman, Alexander and Hilgenkamp, Hans and Golubov, Alexander A. and Vinokur, Valerii M.},

  abstractNote = {An array of superconducting islands placed on a normal metal film offers a tunable realization of nanopatterned superconductivity. This system enables elucidating open questions concerning the nature of competing vortex states and phase transitions between them. A square array creates the egg crate potential in which magnetic field-induced vortices are frozen into a vortex insulator. We observe a vortex insulator-to-vortex metal transition driven by the applied electric current and determine critical exponents strikingly coinciding with those for thermodynamic liquid-gas transition. Lastly, our findings offer a comprehensive description of dynamic critical behavior and establish a deep connection between equilibrium and nonequilibrium phase transitions.},

  doi          = {10.1126/science.1260507},

  journal      = {Science},

  number       = 6253,

  volume       = 349,

  place        = {United States},

  year         = {Thu Sep 10 00:00:00 EDT 2015},

  month        = {Thu Sep 10 00:00:00 EDT 2015}

}

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Works referenced in this record:

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Works referencing / citing this record:

Critical exponents and fine-grid vortex model of the dynamic vortex Mott transition in superconducting arrays
journal, September 2019

Granato, Enzo
Physical Review B, Vol. 100, Issue 10
DOI: 10.1103/physrevb.100.104517

Proximity coupling of superconducting nanograins with fractal distributions
journal, January 2020

Uchino, Takashi; Teramachi, Nanami; Matsuzaki, Ryosuke
Physical Review B, Vol. 101, Issue 3
DOI: 10.1103/physrevb.101.035146

Transverse vortex commensurability effect and sign change of the Hall voltage in superconducting ${YBa}_{2} {Cu}_{3} O_{7 - δ}$ thin films with a nanoscale periodic pinning landscape
journal, September 2018

Zechner, G.; Lang, W.; Dosmailov, M.
Physical Review B, Vol. 98, Issue 10
DOI: 10.1103/physrevb.98.104508

Nonequilibrium phases and segregation for skyrmions on periodic pinning arrays
journal, October 2018

Reichhardt, C.; Ray, D.; Reichhardt, C. J. O.
Physical Review B, Vol. 98, Issue 13
DOI: 10.1103/physrevb.98.134418

Universality and critical behavior of the dynamical Mott transition in a system with long-range interactions
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Rademaker, Louk; Vinokur, Valerii M.; Galda, Alexey
Scientific Reports, Vol. 7, Issue 1
DOI: 10.1038/srep44044

Critical fluctuations at a many-body exceptional point
journal, July 2020

Hanai, Ryo; Littlewood, Peter B.
Physical Review Research, Vol. 2, Issue 3
DOI: 10.1103/physrevresearch.2.033018

Hysteretic vortex matching effects in high-$T_c$ superconductors with nanoscale periodic pinning landscapes fabricated by He ion beam projection technique
text, January 2017

Zechner, G.; Jausner, F.; Haag, L. T.
arXiv
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Scaling Universality at the Dynamic Vortex Mott Transition
text, January 2017

Lankhorst, Martijn; Poccia, Nicola; Stehno, Martin P.
arXiv
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Individual Vortex Manipulation and Stick-Slip Motion in Periodic Pinning Arrays
text, January 2017

Ma, X.; Reichhardt, C. J. O.; Reichhardt, C.
arXiv
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Nonequilibrium Phases and Segregation for Skyrmions on Periodic Pinning Arrays
text, January 2018

Reichhardt, C.; Ray, D.; Reichhardt, C. J. O.
arXiv
DOI: 10.48550/arxiv.1807.11587

Dynamic Vortex-Mott Transition in 2D Superconducting Proximity Arrays
preprint, January 2020

Glatz, Andreas; Vinokur, Valerii
arXiv
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Title: Critical behavior at a dynamic vortex insulator-to-metal transition

Abstract

Citation Formats

Static Phenomena Near Critical Points: Theory and Experiment journal, April 1967

The renormalization group in the theory of critical behavior journal, October 1974

Boson localization and correlated pinning of superconducting vortex arrays journal, November 1993

Composite Flux-Line Lattices Stabilized in Superconducting Films by a Regular Array of Artificial Defects journal, April 1995

Direct Observation of Vortex Dynamics in Superconducting Films with Regular Arrays of Defects journal, November 1996

Mott insulator phases and first-order melting in Bi 2 Sr 2 Ca Cu 2 O 8 + δ crystals with periodic surface holes journal, February 2009

Periodic flux dependence of the resistive transition in two-dimensional superconducting arrays journal, December 1983

Anomalous behavior near T c and synchronization of Andreev reflection in two-dimensional arrays of SNS junctions journal, January 2005

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

Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields journal, September 1976

Nanopattern-stimulated superconductor-insulator transition in thin TiN films journal, February 2011

Critical currents in frustrated two-dimensional Josephson arrays journal, October 1990

Pinning phenomena in a superconducting film with a square lattice of artificial pinning centers journal, June 2004

Finite Temperature Mott Transition in the Hubbard Model in Infinite Dimensions journal, October 1999

Vortices in high-temperature superconductors journal, October 1994

Theory of Plastic Vortex Creep journal, December 2000

Universality and Critical Behavior at the Mott Transition journal, October 2003

Landau Theory of the Finite Temperature Mott Transition journal, May 2000

Single Band Motion of Conduction Electrons in a Uniform Magnetic Field journal, October 1955

Nonequilibrium mesoscopic superconductors in a fluctuational regime journal, November 2009

Critical exponents and fine-grid vortex model of the dynamic vortex Mott transition in superconducting arrays journal, September 2019

Proximity coupling of superconducting nanograins with fractal distributions journal, January 2020

Transverse vortex commensurability effect and sign change of the Hall voltage in superconducting YBa 2 Cu 3 O 7 − δ thin films with a nanoscale periodic pinning landscape journal, September 2018

Nonequilibrium phases and segregation for skyrmions on periodic pinning arrays journal, October 2018

Universality and critical behavior of the dynamical Mott transition in a system with long-range interactions journal, March 2017

Critical fluctuations at a many-body exceptional point journal, July 2020

Hysteretic vortex matching effects in high-$T_c$ superconductors with nanoscale periodic pinning landscapes fabricated by He ion beam projection technique text, January 2017

Scaling Universality at the Dynamic Vortex Mott Transition text, January 2017

Individual Vortex Manipulation and Stick-Slip Motion in Periodic Pinning Arrays text, January 2017

Nonequilibrium Phases and Segregation for Skyrmions on Periodic Pinning Arrays text, January 2018

Dynamic Vortex-Mott Transition in 2D Superconducting Proximity Arrays preprint, January 2020

Static Phenomena Near Critical Points: Theory and Experiment
journal, April 1967

The renormalization group in the theory of critical behavior
journal, October 1974

Boson localization and correlated pinning of superconducting vortex arrays
journal, November 1993

Composite Flux-Line Lattices Stabilized in Superconducting Films by a Regular Array of Artificial Defects
journal, April 1995

Direct Observation of Vortex Dynamics in Superconducting Films with Regular Arrays of Defects
journal, November 1996

Mott insulator phases and first-order melting in ${Bi}_{2} {Sr}_{2} Ca {Cu}_{2} O_{8 + δ}$ crystals with periodic surface holes
journal, February 2009

Periodic flux dependence of the resistive transition in two-dimensional superconducting arrays
journal, December 1983

Anomalous behavior near T c and synchronization of Andreev reflection in two-dimensional arrays of SNS junctions
journal, January 2005

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

Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
journal, September 1976

Nanopattern-stimulated superconductor-insulator transition in thin TiN films
journal, February 2011

Critical currents in frustrated two-dimensional Josephson arrays
journal, October 1990

Pinning phenomena in a superconducting film with a square lattice of artificial pinning centers
journal, June 2004

Finite Temperature Mott Transition in the Hubbard Model in Infinite Dimensions
journal, October 1999

Vortices in high-temperature superconductors
journal, October 1994

Theory of Plastic Vortex Creep
journal, December 2000

Universality and Critical Behavior at the Mott Transition
journal, October 2003

Landau Theory of the Finite Temperature Mott Transition
journal, May 2000

Single Band Motion of Conduction Electrons in a Uniform Magnetic Field
journal, October 1955

Nonequilibrium mesoscopic superconductors in a fluctuational regime
journal, November 2009

Critical exponents and fine-grid vortex model of the dynamic vortex Mott transition in superconducting arrays
journal, September 2019

Proximity coupling of superconducting nanograins with fractal distributions
journal, January 2020

Transverse vortex commensurability effect and sign change of the Hall voltage in superconducting ${YBa}_{2} {Cu}_{3} O_{7 - δ}$ thin films with a nanoscale periodic pinning landscape
journal, September 2018

Nonequilibrium phases and segregation for skyrmions on periodic pinning arrays
journal, October 2018

Universality and critical behavior of the dynamical Mott transition in a system with long-range interactions
journal, March 2017

Critical fluctuations at a many-body exceptional point
journal, July 2020

Hysteretic vortex matching effects in high-$T_c$ superconductors with nanoscale periodic pinning landscapes fabricated by He ion beam projection technique
text, January 2017

Scaling Universality at the Dynamic Vortex Mott Transition
text, January 2017

Individual Vortex Manipulation and Stick-Slip Motion in Periodic Pinning Arrays
text, January 2017

Nonequilibrium Phases and Segregation for Skyrmions on Periodic Pinning Arrays
text, January 2018

Dynamic Vortex-Mott Transition in 2D Superconducting Proximity Arrays
preprint, January 2020