Relaxation and glassy dynamics in disordered type-II superconductors
Abstract
We study the nonequilibrium relaxation kinetics of interacting magnetic flux lines in disordered type II superconductors at low temperatures and low magnetic fields by means of a three-dimensional elastic-line model and Monte Carlo simulations. Investigating the vortex density and height autocorrelation functions as well as the flux-line mean-square displacement, we observe the emergence of glassy dynamics, caused by the competing effects of vortex pinning due to point defects and long-range repulsive interactions between the flux lines. Furthermore, our systematic numerical study allows us to carefully disentangle the associated different relaxation mechanisms and to assess their relative impact on the kinetics of dilute vortex matter at low temperatures.
- Authors:
-
- Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
- Publication Date:
- Research Org.:
- Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
- OSTI Identifier:
- 1855156
- Alternate Identifier(s):
- OSTI ID: 1855164
- Grant/Contract Number:
- FG02-09ER46613; SC0002308
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics
- Additional Journal Information:
- Journal Volume: 84; Journal Issue: 17; Journal ID: ISSN 1098-0121
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Pleimling, Michel, and Täuber, Uwe C. Relaxation and glassy dynamics in disordered type-II superconductors. United States: N. p., 2011.
Web. doi:10.1103/physrevb.84.174509.
Pleimling, Michel, & Täuber, Uwe C. Relaxation and glassy dynamics in disordered type-II superconductors. United States. https://doi.org/10.1103/physrevb.84.174509
Pleimling, Michel, and Täuber, Uwe C. Fri .
"Relaxation and glassy dynamics in disordered type-II superconductors". United States. https://doi.org/10.1103/physrevb.84.174509. https://www.osti.gov/servlets/purl/1855156.
@article{osti_1855156,
title = {Relaxation and glassy dynamics in disordered type-II superconductors},
author = {Pleimling, Michel and Täuber, Uwe C.},
abstractNote = {We study the nonequilibrium relaxation kinetics of interacting magnetic flux lines in disordered type II superconductors at low temperatures and low magnetic fields by means of a three-dimensional elastic-line model and Monte Carlo simulations. Investigating the vortex density and height autocorrelation functions as well as the flux-line mean-square displacement, we observe the emergence of glassy dynamics, caused by the competing effects of vortex pinning due to point defects and long-range repulsive interactions between the flux lines. Furthermore, our systematic numerical study allows us to carefully disentangle the associated different relaxation mechanisms and to assess their relative impact on the kinetics of dilute vortex matter at low temperatures.},
doi = {10.1103/physrevb.84.174509},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 17,
volume = 84,
place = {United States},
year = {Fri Nov 18 00:00:00 EST 2011},
month = {Fri Nov 18 00:00:00 EST 2011}
}
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Works referenced in this record:
Ageing and memory phenomena in magnetic and transport properties of vortex matter
journal, October 2001
- Nicodemi, Mario; Jensen, Henrik Jeldtoft
- Journal of Physics A: Mathematical and General, Vol. 34, Issue 41
Off equilibrium properties of vortex creep in superconductors
text, January 2000
- Jensen, Henrik Jeldtoft; Nicodemi, Mario
- arXiv
Phase Diagram of Disordered Vortices from London Langevin Simulations
journal, August 1998
- van Otterlo, Anne; Scalettar, Richard T.; Zimányi, Gergely T.
- Physical Review Letters, Vol. 81, Issue 7
Symmetry-based determination of space-time functions in nonequilibrium growth processes
journal, December 2006
- Röthlein, Andreas; Baumann, Florian; Pleimling, Michel
- Physical Review E, Vol. 74, Issue 6
Phase behavior of type-II superconductors with quenched point pinning disorder: A phenomenological proposal
journal, March 2002
- Menon, Gautam I.
- Physical Review B, Vol. 65, Issue 10
Erratum: Symmetry-based determination of space-time functions in nonequilibrium growth processes [Phys. Rev. E 74 , 061604 (2006)]
journal, July 2007
- Röthlein, Andreas; Baumann, Florian; Pleimling, Michel
- Physical Review E, Vol. 76, Issue 1
Statistical mechanics of flux lines in high-T c superconductors
journal, November 1989
- Nelson, David R.
- Journal of Statistical Physics, Vol. 57, Issue 3-4
Stability of Elastic Glass Phases in Random Field XY Magnets and Vortex Lattices in Type II Superconductors
text, January 1996
- Fisher, Daniel S.
- arXiv
Entanglement transition of elastic lines in a strongly disordered environment
journal, June 2004
- Petäjä, V.; Alava, M.; Rieger, H.
- Europhysics Letters (EPL), Vol. 66, Issue 6
Growth law and superuniversality in the coarsening of disordered ferromagnets
journal, March 2011
- Corberi, F.; Lippiello, E.; Mukherjee, A.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2011, Issue 03
Off-equilibrium magnetic properties in a model of repulsive particles for vortices in superconductors
journal, January 2001
- Nicodemi, Mario; Jensen, Henrik Jeldtoft
- Journal of Physics A: Mathematical and General, Vol. 34, Issue 3
The Phase Diagram of Disordered Vortices from London Langevin Simulations
text, January 1998
- van Otterlo, Anne; Scalettar, Richard T.; Zimanyi, Gergely T.
- arXiv
Stability of Elastic Glass Phases in Random Field Magnets and Vortex Lattices in Type-II Superconductors
journal, March 1997
- Fisher, Daniel S.
- Physical Review Letters, Vol. 78, Issue 10
Disordered type-II superconductors: a universal phase diagram for low-Tc systems
journal, June 2001
- Banerjee, S. S.; Grover, A. K.; Higgins, M. J.
- Physica C: Superconductivity, Vol. 355, Issue 1-2
An eigenvalue method for computing the largest relaxation time of disordered systems
journal, December 2009
- Monthus, Cécile; Garel, Thomas
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, Issue 12
Eigenvalue method to compute the largest relaxation time of disordered systems
text, January 2009
- Monthus, Cecile; Garel, Thomas
- arXiv
Effects of columnar disorder on flux-lattice melting in high-temperature superconductors
journal, June 2003
- Tyagi, Sandeep; Goldschmidt, Yadin Y.
- Physical Review B, Vol. 67, Issue 21
Vortex Entanglement in High- Superconductors
journal, May 1988
- Nelson, David R.
- Physical Review Letters, Vol. 60, Issue 19
Langevin simulations of the out-of-equilibrium dynamics of the vortex glass in high-temperature superconductors
text, January 2006
- Bustingorry, Sebastian; Cugliandolo, Leticia F.; Dominguez, Daniel
- arXiv
Moving glass phase of driven lattices
text, January 1995
- Giamarchi, Thierry; Doussal, Pierre Le
- arXiv
Theory of collective flux creep
journal, November 1989
- Feigel’man, M. V.; Geshkenbein, V. B.; Larkin, A. I.
- Physical Review Letters, Vol. 63, Issue 20
Phase diagrams of flux lattices with disorder
journal, March 1997
- Giamarchi, T.; Le Doussal, P.
- Physical Review B, Vol. 55, Issue 10
Vortex washboard voltage noise in type-II superconductors
journal, October 2008
- Bullard, T. J.; Das, J.; Daquila, G. L.
- The European Physical Journal B, Vol. 65, Issue 4
Characterization of non-equilibrium growth through global two-time quantities
journal, August 2010
- Chou, Yen-Liang; Pleimling, Michel
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2010, Issue 08
Off-equilibrium properties of vortex creep in superconductors
journal, June 2001
- Jensen, H. Jeldtoft; Nicodemi, M.
- Europhysics Letters (EPL), Vol. 54, Issue 5
Direct Observation of the Flux-Line Vortex Glass Phase in a Type II Superconductor
journal, June 2004
- Divakar, U.; Drew, A. J.; Lee, S. L.
- Physical Review Letters, Vol. 92, Issue 23
Vortex transport and voltage noise in disordered superconductors
journal, February 2003
- Das, Jayajit; Bullard, Thomas J.; Täuber, Uwe C.
- Physica A: Statistical Mechanics and its Applications, Vol. 318, Issue 1-2
Topological order in the vortex-glass phase of high-temperature superconductors
journal, January 1997
- Kierfeld, Jan; Nattermann, Thomas; Hwa, Terence
- Physical Review B, Vol. 55, Issue 1
Metastability and Glassy Behavior of a Driven Flux-Line Lattice
journal, September 1996
- Henderson, W.; Andrei, E. Y.; Higgins, M. J.
- Physical Review Letters, Vol. 77, Issue 10
Relaxation dynamics of an elastic string in random media
journal, October 2009
- Noh, Jae Dong; Park, Hyunggyu
- Physical Review E, Vol. 80, Issue 4
Thermal fluctuations, quenched disorder, phase transitions, and transport in type-II superconductors
journal, January 1991
- Fisher, Daniel S.; Fisher, Matthew P. A.; Huse, David A.
- Physical Review B, Vol. 43, Issue 1
Relaxation processes in supercooled liquids
journal, March 1992
- Gotze, W.; Sjogren, L.
- Reports on Progress in Physics, Vol. 55, Issue 3
Equilibrium and off-equilibrium dynamics in a model for vortices in superconductors
journal, April 2002
- Nicodemi, Mario; Jensen, Henrik Jeldtoft
- Physical Review B, Vol. 65, Issue 14
Creep of Superconducting Vortices in the Limit of Vanishing Temperature: A Fingerprint of Off-Equilibrium Dynamics
journal, May 2001
- Nicodemi, Mario; Jeldtoft Jensen, Henrik
- Physical Review Letters, Vol. 86, Issue 19
Nonequilibrium steady states of driven magnetic flux lines in disordered type-II superconductors
journal, December 2009
- Klongcheongsan, T.; Bullard, T. J.; Täuber, U. C.
- Superconductor Science and Technology, Vol. 23, Issue 2
Nonequilibrium critical dynamics of the three-dimensional gauge glass
journal, November 2008
- Romá, Federico; Domínguez, Daniel
- Physical Review B, Vol. 78, Issue 18
Vortex-glass superconductivity: A possible new phase in bulk high- oxides
journal, March 1989
- Fisher, Matthew P. A.
- Physical Review Letters, Vol. 62, Issue 12
Simulation of Flux Lines with Columnar Pins: Bose Glass and Entangled Liquids
journal, April 2001
- Sen, Prasenjit; Trivedi, Nandini; Ceperley, D. M.
- Physical Review Letters, Vol. 86, Issue 18
Scaling approach to pinning: Charge density waves and giant flux creep in superconductors
journal, May 1990
- Nattermann, Thomas
- Physical Review Letters, Vol. 64, Issue 20
Theory of melted flux liquids
journal, May 1989
- Nelson, David R.; Seung, H. Sebastian
- Physical Review B, Vol. 39, Issue 13
Ageing memory and glassiness of a driven vortex system
journal, January 2007
- Du, Xu; Li, Guohong; Andrei, Eva Y.
- Nature Physics, Vol. 3, Issue 2
Aging in coarsening diluted ferromagnets
journal, October 2010
- Park, Hyunhang; Pleimling, Michel
- Physical Review B, Vol. 82, Issue 14
Topological Order in the Vortex Glass Phase of High-Temperature Superconductors
text, January 1995
- Kierfeld, J.; Nattermann, T.; Hwa, T.
- arXiv
Nonequilibrium critical dynamics of the three-dimensional gauge glass
text, January 2008
- Roma, F.; Dominguez, D.
- arXiv
A Bragg glass phase in the vortex lattice of a type II superconductor
text, January 2001
- Klein, T.; Joumard, I.; Blanchard, S.
- arXiv
Out-of-Equilibrium Dynamics of the Vortex Glass in Superconductors
journal, January 2006
- Bustingorry, Sebastian; Cugliandolo, Leticia F.; Domínguez, Daniel
- Physical Review Letters, Vol. 96, Issue 2
Elastic theory of pinned flux lattices
journal, March 1994
- Giamarchi, Thierry; Le Doussal, Pierre
- Physical Review Letters, Vol. 72, Issue 10
Aging dynamics of non-linear elastic interfaces: the Kardar–Parisi–Zhang equation
journal, October 2007
- Bustingorry, Sebastian
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2007, Issue 10
A Bragg glass phase in the vortex lattice of a type II superconductor
journal, September 2001
- Klein, T.; Joumard, I.; Blanchard, S.
- Nature, Vol. 413, Issue 6854
Growing correlations and aging of an elastic line in a random potential
journal, September 2009
- Iguain, José Luis; Bustingorry, Sebastian; Kolton, Alejandro B.
- Physical Review B, Vol. 80, Issue 9
Ageing memory and glassiness of a driven vortex system
text, January 2007
- Du, Xu; Li, Guohong; Andrei, Eva Y.
- arXiv
Monte Carlo dynamics of driven elastic strings in disordered media
journal, November 2001
- Rosso, Alberto; Krauth, Werner
- Physical Review B, Vol. 65, Issue 1
Works referencing / citing this record:
Skyrmion relaxation dynamics in the presence of quenched disorder
journal, July 2019
- Brown, Barton L.; Täuber, Uwe C.; Pleimling, Michel
- Physical Review B, Vol. 100, Issue 2
Neutron stars in the laboratory
journal, April 2017
- Graber, Vanessa; Andersson, Nils; Hogg, Michael
- International Journal of Modern Physics D, Vol. 26, Issue 08
Electromigration-induced resistance switching in indented Al microstrips
journal, November 2019
- Lombardo, J.; Collienne, S.; Petrillo, A.
- New Journal of Physics, Vol. 21, Issue 11
Neutron Stars in the Laboratory
text, January 2016
- Graber, Vanessa; Andersson, Nils; Hogg, Michael
- arXiv
Critical scaling and aging near the flux-line-depinning transition
journal, January 2020
- Chaturvedi, Harshwardhan; Dobramysl, Ulrich; Pleimling, Michel
- Physical Review B, Vol. 101, Issue 2
On relaxations and aging of various glasses
journal, February 2012
- Amir, A.; Oreg, Y.; Imry, Y.
- Proceedings of the National Academy of Sciences, Vol. 109, Issue 6
Disordered vortex matter out of equilibrium: a Langevin molecular dynamics study
text, January 2015
- Assi, Hiba; Chaturvedi, Harshwardhan; Dobramysl, Ulrich
- arXiv