Vogel-Fulcher-Tamman criticality of 3D superinsulators

Diamantini, M. C.; Gammaitoni, L.; Trugenberger, C. A.; Vinokur, V. M.

doi:10.1038/s41598-018-33765-5

Title: Vogel-Fulcher-Tamman criticality of 3D superinsulators

Abstract

It has been believed that the superinsulating state, which is the low-temperature charge Berezinskii-Kosterlitz-Thouless (BKT) phase, can exist only in two dimensions. We develop a general gauge description of the superinsulating state and the related deconfinement transition of Cooper pairs and predict the existence of the superinsulating state in three dimensions (3d). We find that 3d superinsulators exhibit Vogel-Fulcher-Tammann (VFT) critical behavior at the phase transition. This is the 3d string analog of the Berezinski-Kosterlitz-Thouless (BKT) criticality for logarithmically and linearly interacting point particles in 2d. Lastly, our results show that singular exponential scaling behaviors of the BKT type are generic for phase transitions associated with the condensation of topological excitations.

Authors:

Diamantini, M. C. ^[1];

^[1]; Trugenberger, C. A. ^[2];

^[3]

Univ. of Perugia, Perugia (Italy)
SwissScientific Technologies SA, Geneva (Switzerland)
Argonne National Lab. (ANL), Argonne, IL (United States)

Publication Date:: 2018-10-24

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:: 1481282

Grant/Contract Number:: AC02-06CH11357

Resource Type:: Accepted Manuscript

Journal Name:: Scientific Reports

Additional Journal Information:: Journal Volume: 8; Journal Issue: 1; Journal ID: ISSN 2045-2322

Publisher:: Nature Publishing Group

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE

Citation Formats


                    Diamantini, M. C., Gammaitoni, L., Trugenberger, C. A., and Vinokur, V. M. Vogel-Fulcher-Tamman criticality of 3D superinsulators.  United States: N. p., 2018. 
Web.  doi:10.1038/s41598-018-33765-5.

Copy to clipboard


                    Diamantini, M. C., Gammaitoni, L., Trugenberger, C. A., & Vinokur, V. M. Vogel-Fulcher-Tamman criticality of 3D superinsulators.  United States.  https://doi.org/10.1038/s41598-018-33765-5

Copy to clipboard


                    Diamantini, M. C., Gammaitoni, L., Trugenberger, C. A., and Vinokur, V. M. Wed .  
"Vogel-Fulcher-Tamman criticality of 3D superinsulators".  United States.  https://doi.org/10.1038/s41598-018-33765-5.  https://www.osti.gov/servlets/purl/1481282.

Copy to clipboard


                    
@article{osti_1481282,

  title        = {Vogel-Fulcher-Tamman criticality of 3D superinsulators},

  author       = {Diamantini, M. C. and Gammaitoni, L. and Trugenberger, C. A. and Vinokur, V. M.},

  abstractNote = {It has been believed that the superinsulating state, which is the low-temperature charge Berezinskii-Kosterlitz-Thouless (BKT) phase, can exist only in two dimensions. We develop a general gauge description of the superinsulating state and the related deconfinement transition of Cooper pairs and predict the existence of the superinsulating state in three dimensions (3d). We find that 3d superinsulators exhibit Vogel-Fulcher-Tammann (VFT) critical behavior at the phase transition. This is the 3d string analog of the Berezinski-Kosterlitz-Thouless (BKT) criticality for logarithmically and linearly interacting point particles in 2d. Lastly, our results show that singular exponential scaling behaviors of the BKT type are generic for phase transitions associated with the condensation of topological excitations.},

  doi          = {10.1038/s41598-018-33765-5},

  journal      = {Scientific Reports},

  number       = 1,

  volume       = 8,

  place        = {United States},

  year         = {2018},

  month        = {10}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1038/s41598-018-33765-5

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 3 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

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

Fisher, Matthew P. A.
Physical Review Letters, Vol. 65, Issue 7
DOI: 10.1103/PhysRevLett.65.923

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

Compact gauge fields and the infrared catastrophe
journal, October 1975

Polyakov, A. M.
Physics Letters B, Vol. 59, Issue 1
DOI: 10.1016/0370-2693(75)90162-8

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

Fisher, Matthew P. A.; Grinstein, G.; Girvin, S. M.
Physical Review Letters, Vol. 64, Issue 5
DOI: 10.1103/PhysRevLett.64.587

Magnetic monopoles in gauge field theories
journal, September 1978

Goddard, P.; Olive, D. I.
Reports on Progress in Physics, Vol. 41, Issue 9
DOI: 10.1088/0034-4885/41/9/001

Strings with Negative Stiffness and Hyperfine Structure
journal, January 1999

Diamantini, M. C.; Kleinert, H.; Trugenberger, C. A.
Physical Review Letters, Vol. 82, Issue 2
DOI: 10.1103/PhysRevLett.82.267

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

Svetitsky, Benjamin; Yaffe, Laurence G.
Nuclear Physics B, Vol. 210, Issue 4
DOI: 10.1016/0550-3213(82)90172-9

Gauge theories of Josephson junction arrays
journal, September 1996

Diamantini, M. C.; Sodano, P.; Trugenberger, C. A.
Nuclear Physics B, Vol. 474, Issue 3
DOI: 10.1016/0550-3213(96)00309-4

Gluodynamics string as a low-energy limit of the universal confining string theory
journal, May 1998

Antonov, D. V.
Physics Letters B, Vol. 427, Issue 3-4
DOI: 10.1016/S0370-2693(98)00337-2

The critical properties of the two-dimensional xy model
journal, March 1974

Kosterlitz, J. M.
Journal of Physics C: Solid State Physics, Vol. 7, Issue 6
DOI: 10.1088/0022-3719/7/6/005

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

Confining Strings at High Temperature
journal, April 2002

Diamantini, Maria Cristina; Trugenberger, Carlo Andrea
Journal of High Energy Physics, Vol. 2002, Issue 04
DOI: 10.1088/1126-6708/2002/04/032

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

't Hooft, G.
Nuclear Physics B, Vol. 138, Issue 1
DOI: 10.1016/0550-3213(78)90153-0

Superinsulator–superconductor duality in two dimensions
journal, April 2013

Baturina, Tatyana I.; Vinokur, Valerii M.
Annals of Physics, Vol. 331
DOI: 10.1016/j.aop.2012.12.007

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

Fazio, Rosario; Schön, Gerd
Physical Review B, Vol. 43, Issue 7
DOI: 10.1103/PhysRevB.43.5307

Superconductor-Insulator Transitions
journal, August 2010

Goldman, A. M.
International Journal of Modern Physics B, Vol. 24, Issue 20n21
DOI: 10.1142/S0217979210056451

Rigid random surfaces at large d
journal, March 1988

David, F.; Guitter, E.
Nuclear Physics B, Vol. 295, Issue 3
DOI: 10.1016/0550-3213(88)90359-8

Superinsulator Phase of Two-Dimensional Superconductors
journal, October 1998

Krämer, A.; Doniach, S.
Physical Review Letters, Vol. 81, Issue 16
DOI: 10.1103/PhysRevLett.81.3523

Ordering, metastability and phase transitions in two-dimensional systems
journal, April 1973

Kosterlitz, J M; Thouless, D J
Journal of Physics C: Solid State Physics, Vol. 6, Issue 7, p. 1181-1203
DOI: 10.1088/0022-3719/6/7/010

Spontaneous Generation of String Tension and Quark Potential
journal, May 1987

Kleinert, H.
Physical Review Letters, Vol. 58, Issue 19
DOI: 10.1103/PhysRevLett.58.1915

II. Vortices and quark confinement in non-Abelian gauge theories
journal, February 1976

Mandelstam, S.
Physics Reports, Vol. 23, Issue 3
DOI: 10.1016/0370-1573(76)90043-0

Surfaces with long-range correlations from non-critical strings
journal, March 1998

Diamantini, M. C.; Trugenberger, Carlo A.
Physics Letters B, Vol. 421, Issue 1-4
DOI: 10.1016/S0370-2693(98)00023-9

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

Haviland, D. B.; Liu, Y.; Goldman, A. M.
Physical Review Letters, Vol. 62, Issue 18
DOI: 10.1103/PhysRevLett.62.2180

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

Mironov, Alexey Yu.; Silevitch, Daniel M.; Proslier, Thomas
Scientific Reports, Vol. 8, Issue 1
DOI: 10.1038/s41598-018-22451-1

Long range order and metastability in two dimensional solids and superfluids. (Application of dislocation theory)
journal, June 1972

Kosterlitz, J. M.; Thouless, D. J.
Journal of Physics C: Solid State Physics, Vol. 5, Issue 11
DOI: 10.1088/0022-3719/5/11/002

Confining strings with topological term
journal, March 1997

Diamantini, M. C.; Quevedo, F.; Trugenberger, C. A.
Physics Letters B, Vol. 396, Issue 1-4
DOI: 10.1016/S0370-2693(97)00132-9

String representation of field correlators in the SU(3)-gluodynamics
journal, December 1998

Antonov, Dmitri; Ebert, Dietmar
Physics Letters B, Vol. 444, Issue 1-2
DOI: 10.1016/S0370-2693(98)01383-5

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

Hebard, A. F.; Paalanen, M. A.
Physical Review Letters, Vol. 65, Issue 7
DOI: 10.1103/PhysRevLett.65.927

Superinsulator-Superconductor Duality in Two Dimensions
text, January 2012

Baturina, Tatyana I.; Vinokur, Valerii M.
arXiv
DOI: 10.48550/arxiv.1209.0530

Superinsulator Phase of Two-Dimensional Superconductors
text, January 1998

Krämer, A.; Doniach, S.
arXiv
DOI: 10.48550/arxiv.cond-mat/9809337

Confining Strings at High Temperature
text, January 2002

Diamantini, M. C.; Trugenberger, C. A.
arXiv
DOI: 10.48550/arxiv.hep-th/0203053

Confining String with Topological Term
text, January 1996

Diamantini, M. C.; Quevedo, F.; Trugenberger, C. A.
arXiv
DOI: 10.48550/arxiv.hep-th/9612103

Gluodynamics String as a Low-Energy Limit of the Universal Confining String Theory
text, January 1998

Antonov, D. V.
arXiv
DOI: 10.48550/arxiv.hep-th/9804016

Works referencing / citing this record:

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

Yoneda, M.; Niwa, M.; Hirata, N.
International Journal of Modern Physics B, Vol. 33, Issue 25
DOI: 10.1142/s0217979219502916

Similar Records in DOE PAGES and OSTI.GOV collections:

Disordered Berezinskii-Kosterlitz-Thouless transition and superinsulation

Journal Article Sankar, S. ; Vinokur, V. M. ; Tripathi, V. - Physical Review B

Here, we investigate the critical Berezinskii-Kosterlitz-Thouless (BKT) behavior of disordered two-dimensional Josephson-junction arrays (JJA) on the insulating side of the superconductor-insulator transition (SIT) taking into account the effect of hitherto ignored residual random dipole moments of the superconducting grains. We show that for weak Josephson coupling the model is equivalent to a Coulomb gas subjected to a disorder potential with logarithmic correlations. We demonstrate that strong enough disorder transforms the BKT divergence of the correlation length, ξ_BKT ∝ exp (const / √T-T_BKT), characterizing the average distance between the unbound topological excitations of the opposite signs, into a more singular Vogel-Fulcher-Tammanmore »« less
Cited by 2
https://doi.org/10.1103/PhysRevB.97.020507

Full Text Available
Charge Berezinskii-Kosterlitz-Thouless transition in superconducting NbTiN films

Journal Article Mironov, Alexey Yu. ; Silevitch, Daniel M. ; Proslier, Thomas ; ... - Scientific Reports

Three decades after the prediction of charge-vortex duality in the critical vicinity of the two-dimensional superconductor-insulator transition (SIT), one of the fundamental implications of this duality-the charge Berezinskii-Kosterlitz-Thouless (BKT) transition that should occur on the insulating side of the SIT-has remained unobserved. The dual picture of the process points to the existence of a superinsulating state endowed with zero conductance at finite temperature. Here, we report the observation of the charge BKT transition on the insulating side of the SIT in 10 nm thick NbTiN films, identified by the BKT critical behavior of the temperature and magnetic field dependent resistance,more »« less
Cited by 10
https://doi.org/10.1038/s41598-018-22451-1

Full Text Available
Vogel-Fulcher-Tammann freezing of a thermally fluctuating artificial spin ice probed by x-ray photon correlation spectroscopy

Journal Article Morley, S. A. ; Alba Venero, D. ; Porro, J. M. ; ... - Physical Review B

We report on the crossover from the thermal to the athermal regime of an artificial spin ice formed from a square array of magnetic islands whose lateral size, 30 nm × 70 nm, is small enough that they are dynamic at room temperature.We used resonant magnetic soft x-ray photon correlation spectroscopy as a method to observe the time-time correlations of the fluctuating magnetic configurations of spin ice during cooling, which are found to slow abruptly as a freezing temperature of T₀ = 178 ± 5 K is approached. This slowing is well described by a Vogel-Fulcher-Tammann law, implying that themore »« less
Cited by 5
https://doi.org/10.1103/PhysRevB.95.104422

Full Text Available
Conformality lost

Journal Article Kaplan, David B ; Lee, Jong-Wan ; Son, Dam T ; ... - Physical Review. D, Particles Fields

We consider zero-temperature transitions from conformal to nonconformal phases in quantum theories. We argue that there are three generic mechanisms for the loss of conformality in any number of dimensions: (i) fixed point goes to zero coupling, (ii) fixed point runs off to infinite coupling, or (iii) an IR fixed point annihilates with a UV fixed point and they both disappear into the complex plane. We give both relativistic and nonrelativistic examples of the last case in various dimensions and show that the critical behavior of the mass gap behaves similarly to the correlation length in the finite temperature Berezinskii-Kosterlitz-Thoulessmore »« less
https://doi.org/10.1103/PHYSREVD.80.125005
Truncation effects in the charge representation of the O(2) model

Journal Article Zhang, Jin ; Meurice, Y. ; Tsai, S.-W. - Physical Review B

The O(2) model in Euclidean space-time is the zero-gauge-coupling limit of the compact scalar quantum electrodynamics. In this work, we obtain a dual representation of it called the charge representation. We study the quantum phase transition in the charge representation with a truncation to “spinmore »« less
https://doi.org/10.1103/physrevb.103.245137

Full Text Available

Similar Records

Title: Vogel-Fulcher-Tamman criticality of 3D superinsulators

Abstract

Citation Formats

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

Superinsulator and quantum synchronization journal, April 2008

Compact gauge fields and the infrared catastrophe journal, October 1975

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

Magnetic monopoles in gauge field theories journal, September 1978

Strings with Negative Stiffness and Hyperfine Structure journal, January 1999

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

Gauge theories of Josephson junction arrays journal, September 1996

Gluodynamics string as a low-energy limit of the universal confining string theory journal, May 1998

The critical properties of the two-dimensional xy model journal, March 1974

Evidence for a Finite-Temperature Insulator journal, August 2015

Confining Strings at High Temperature journal, April 2002

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

Superinsulator–superconductor duality in two dimensions journal, April 2013

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

Superconductor-Insulator Transitions journal, August 2010

Rigid random surfaces at large d journal, March 1988

Superinsulator Phase of Two-Dimensional Superconductors journal, October 1998

Ordering, metastability and phase transitions in two-dimensional systems journal, April 1973

Spontaneous Generation of String Tension and Quark Potential journal, May 1987

II. Vortices and quark confinement in non-Abelian gauge theories journal, February 1976

Surfaces with long-range correlations from non-critical strings journal, March 1998

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

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

Long range order and metastability in two dimensional solids and superfluids. (Application of dislocation theory) journal, June 1972

Confining strings with topological term journal, March 1997

String representation of field correlators in the SU(3)-gluodynamics journal, December 1998

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

Superinsulator-Superconductor Duality in Two Dimensions text, January 2012

Superinsulator Phase of Two-Dimensional Superconductors text, January 1998

Confining Strings at High Temperature text, January 2002

Confining String with Topological Term text, January 1996

Gluodynamics String as a Low-Energy Limit of the Universal Confining String Theory text, January 1998

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

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

Superinsulator and quantum synchronization
journal, April 2008

Compact gauge fields and the infrared catastrophe
journal, October 1975

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

Magnetic monopoles in gauge field theories
journal, September 1978

Strings with Negative Stiffness and Hyperfine Structure
journal, January 1999

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

Gauge theories of Josephson junction arrays
journal, September 1996

Gluodynamics string as a low-energy limit of the universal confining string theory
journal, May 1998

The critical properties of the two-dimensional xy model
journal, March 1974

Evidence for a Finite-Temperature Insulator
journal, August 2015

Confining Strings at High Temperature
journal, April 2002

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

Superinsulator–superconductor duality in two dimensions
journal, April 2013

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

Superconductor-Insulator Transitions
journal, August 2010

Rigid random surfaces at large d
journal, March 1988

Superinsulator Phase of Two-Dimensional Superconductors
journal, October 1998

Ordering, metastability and phase transitions in two-dimensional systems
journal, April 1973

Spontaneous Generation of String Tension and Quark Potential
journal, May 1987

II. Vortices and quark confinement in non-Abelian gauge theories
journal, February 1976

Surfaces with long-range correlations from non-critical strings
journal, March 1998

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

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

Long range order and metastability in two dimensional solids and superfluids. (Application of dislocation theory)
journal, June 1972

Confining strings with topological term
journal, March 1997

String representation of field correlators in the SU(3)-gluodynamics
journal, December 1998

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

Superinsulator-Superconductor Duality in Two Dimensions
text, January 2012

Superinsulator Phase of Two-Dimensional Superconductors
text, January 1998

Confining Strings at High Temperature
text, January 2002

Confining String with Topological Term
text, January 1996

Gluodynamics String as a Low-Energy Limit of the Universal Confining String Theory
text, January 1998

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