Relaxation and glassy dynamics in disordered type-II superconductors

Pleimling, Michel; Täuber, Uwe C.

doi:10.1103/physrevb.84.174509

Relaxation and glassy dynamics in disordered type-II superconductors

Journal Article · Fri Nov 18 00:00:00 EST 2011 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/physrevb.84.174509· OSTI ID:1855156

Pleimling, Michel ^[1]; Täuber, Uwe C. ^[2]

Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States); Virginia Tech, Department of Physics
Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: SC0002308

OSTI ID:: 1855156

Alternate ID(s):: OSTI ID: 1855164

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 17 Vol. 84; ISSN 1098-0121

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (61)

Statistical mechanics of flux lines in high-T c superconductors Nelson, David R. Journal of Statistical Physics, Vol. 57, Issue 3-4 https://doi.org/10.1007/BF01022820	journal	November 1989
Vortex transport and voltage noise in disordered superconductors Das, Jayajit; Bullard, Thomas J.; Täuber, Uwe C. Physica A: Statistical Mechanics and its Applications, Vol. 318, Issue 1-2 https://doi.org/10.1016/S0378-4371(02)01401-2	journal	February 2003
Disordered type-II superconductors: a universal phase diagram for low-Tc systems Banerjee, S. S.; Grover, A. K.; Higgins, M. J. Physica C: Superconductivity, Vol. 355, Issue 1-2 https://doi.org/10.1016/S0921-4534(00)01767-6	journal	June 2001
A Bragg glass phase in the vortex lattice of a type II superconductor Klein, T.; Joumard, I.; Blanchard, S. Nature, Vol. 413, Issue 6854 https://doi.org/10.1038/35096534	journal	September 2001
Ageing memory and glassiness of a driven vortex system Du, Xu; Li, Guohong; Andrei, Eva Y. Nature Physics, Vol. 3, Issue 2 https://doi.org/10.1038/nphys512	journal	January 2007
Relaxation processes in supercooled liquids Gotze, W.; Sjogren, L. Reports on Progress in Physics, Vol. 55, Issue 3 https://doi.org/10.1088/0034-4885/55/3/001	journal	March 1992
Off-equilibrium magnetic properties in a model of repulsive particles for vortices in superconductors Nicodemi, Mario; Jensen, Henrik Jeldtoft Journal of Physics A: Mathematical and General, Vol. 34, Issue 3 https://doi.org/10.1088/0305-4470/34/3/101	journal	January 2001
Ageing and memory phenomena in magnetic and transport properties of vortex matter Nicodemi, Mario; Jensen, Henrik Jeldtoft Journal of Physics A: Mathematical and General, Vol. 34, Issue 41 https://doi.org/10.1088/0305-4470/34/41/303	journal	October 2001
Nonequilibrium steady states of driven magnetic flux lines in disordered type-II superconductors Klongcheongsan, T.; Bullard, T. J.; Täuber, U. C. Superconductor Science and Technology, Vol. 23, Issue 2 https://doi.org/10.1088/0953-2048/23/2/025023	journal	December 2009
Out-of-equilibrium relaxation of the Edwards–Wilkinson elastic line Bustingorry, Sebastian; Cugliandolo, Leticia F.; Luis Iguain, José Journal of Statistical Mechanics: Theory and Experiment, Vol. 2007, Issue 09 https://doi.org/10.1088/1742-5468/2007/09/P09008	journal	September 2007
Aging dynamics of non-linear elastic interfaces: the Kardar–Parisi–Zhang equation Bustingorry, Sebastian Journal of Statistical Mechanics: Theory and Experiment, Vol. 2007, Issue 10 https://doi.org/10.1088/1742-5468/2007/10/P10002	journal	October 2007
An eigenvalue method for computing the largest relaxation time of disordered systems Monthus, Cécile; Garel, Thomas Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, Issue 12 https://doi.org/10.1088/1742-5468/2009/12/P12017	journal	December 2009
Characterization of non-equilibrium growth through global two-time quantities Chou, Yen-Liang; Pleimling, Michel Journal of Statistical Mechanics: Theory and Experiment, Vol. 2010, Issue 08 https://doi.org/10.1088/1742-5468/2010/08/P08007	journal	August 2010
Growth law and superuniversality in the coarsening of disordered ferromagnets Corberi, F.; Lippiello, E.; Mukherjee, A. Journal of Statistical Mechanics: Theory and Experiment, Vol. 2011, Issue 03 https://doi.org/10.1088/1742-5468/2011/03/P03016	journal	March 2011
Theory of melted flux liquids Nelson, David R.; Seung, H. Sebastian Physical Review B, Vol. 39, Issue 13 https://doi.org/10.1103/PhysRevB.39.9153	journal	May 1989
Thermal fluctuations, quenched disorder, phase transitions, and transport in type-II superconductors Fisher, Daniel S.; Fisher, Matthew P. A.; Huse, David A. Physical Review B, Vol. 43, Issue 1 https://doi.org/10.1103/PhysRevB.43.130	journal	January 1991
Boson localization and correlated pinning of superconducting vortex arrays Nelson, David R.; Vinokur, V. M. Physical Review B, Vol. 48, Issue 17 https://doi.org/10.1103/PhysRevB.48.13060	journal	November 1993
Elastic theory of flux lattices in the presence of weak disorder Giamarchi, Thierry; Le Doussal, Pierre Physical Review B, Vol. 52, Issue 2 https://doi.org/10.1103/PhysRevB.52.1242	journal	July 1995
Topological order in the vortex-glass phase of high-temperature superconductors Kierfeld, Jan; Nattermann, Thomas; Hwa, Terence Physical Review B, Vol. 55, Issue 1 https://doi.org/10.1103/PhysRevB.55.626	journal	January 1997
Phase diagrams of flux lattices with disorder Giamarchi, T.; Le Doussal, P. Physical Review B, Vol. 55, Issue 10 https://doi.org/10.1103/PhysRevB.55.6577	journal	March 1997
Monte Carlo dynamics of driven elastic strings in disordered media Rosso, Alberto; Krauth, Werner Physical Review B, Vol. 65, Issue 1 https://doi.org/10.1103/PhysRevB.65.012202	journal	November 2001
Phase behavior of type-II superconductors with quenched point pinning disorder: A phenomenological proposal Menon, Gautam I. Physical Review B, Vol. 65, Issue 10 https://doi.org/10.1103/PhysRevB.65.104527	journal	March 2002
Equilibrium and off-equilibrium dynamics in a model for vortices in superconductors Nicodemi, Mario; Jensen, Henrik Jeldtoft Physical Review B, Vol. 65, Issue 14 https://doi.org/10.1103/PhysRevB.65.144517	journal	April 2002
Metastability and transient effects in vortex matter near a decoupling transition Olson, C. J.; Reichhardt, C.; Scalettar, R. T. Physical Review B, Vol. 67, Issue 18 https://doi.org/10.1103/PhysRevB.67.184523	journal	May 2003
Effects of columnar disorder on flux-lattice melting in high-temperature superconductors Tyagi, Sandeep; Goldschmidt, Yadin Y. Physical Review B, Vol. 67, Issue 21 https://doi.org/10.1103/PhysRevB.67.214501	journal	June 2003
Langevin simulations of the out-of-equilibrium dynamics of vortex glasses in high-temperature superconductors Bustingorry, Sebastian; Cugliandolo, Leticia F.; Domínguez, Daniel Physical Review B, Vol. 75, Issue 2 https://doi.org/10.1103/PhysRevB.75.024506	journal	January 2007
Nonequilibrium critical dynamics of the three-dimensional gauge glass Romá, Federico; Domínguez, Daniel Physical Review B, Vol. 78, Issue 18 https://doi.org/10.1103/PhysRevB.78.184431	journal	November 2008
Growing correlations and aging of an elastic line in a random potential Iguain, José Luis; Bustingorry, Sebastian; Kolton, Alejandro B. Physical Review B, Vol. 80, Issue 9 https://doi.org/10.1103/PhysRevB.80.094201	journal	September 2009
Aging in coarsening diluted ferromagnets Park, Hyunhang; Pleimling, Michel Physical Review B, Vol. 82, Issue 14 https://doi.org/10.1103/PhysRevB.82.144406	journal	October 2010
Symmetry-based determination of space-time functions in nonequilibrium growth processes Röthlein, Andreas; Baumann, Florian; Pleimling, Michel Physical Review E, Vol. 74, Issue 6 https://doi.org/10.1103/PhysRevE.74.061604	journal	December 2006
Erratum: Symmetry-based determination of space-time functions in nonequilibrium growth processes [Phys. Rev. E 74 , 061604 (2006)] Röthlein, Andreas; Baumann, Florian; Pleimling, Michel Physical Review E, Vol. 76, Issue 1 https://doi.org/10.1103/PhysRevE.76.019901	journal	July 2007
Relaxation dynamics of an elastic string in random media Noh, Jae Dong; Park, Hyunggyu Physical Review E, Vol. 80, Issue 4 https://doi.org/10.1103/PhysRevE.80.040102	journal	October 2009
Vortex Entanglement in High- T c Superconductors Nelson, David R. Physical Review Letters, Vol. 60, Issue 19 https://doi.org/10.1103/PhysRevLett.60.1973	journal	May 1988
Vortex-glass superconductivity: A possible new phase in bulk high- T c oxides Fisher, Matthew P. A. Physical Review Letters, Vol. 62, Issue 12 https://doi.org/10.1103/PhysRevLett.62.1415	journal	March 1989
Theory of collective flux creep Feigel’man, M. V.; Geshkenbein, V. B.; Larkin, A. I. Physical Review Letters, Vol. 63, Issue 20 https://doi.org/10.1103/PhysRevLett.63.2303	journal	November 1989
Scaling approach to pinning: Charge density waves and giant flux creep in superconductors Nattermann, Thomas Physical Review Letters, Vol. 64, Issue 20 https://doi.org/10.1103/PhysRevLett.64.2454	journal	May 1990
Elastic theory of pinned flux lattices Giamarchi, Thierry; Le Doussal, Pierre Physical Review Letters, Vol. 72, Issue 10 https://doi.org/10.1103/PhysRevLett.72.1530	journal	March 1994
Moving Glass Phase of Driven Lattices Giamarchi, T.; Le Doussal, P. Physical Review Letters, Vol. 76, Issue 18 https://doi.org/10.1103/PhysRevLett.76.3408	journal	April 1996
Metastability and Glassy Behavior of a Driven Flux-Line Lattice Henderson, W.; Andrei, E. Y.; Higgins, M. J. Physical Review Letters, Vol. 77, Issue 10 https://doi.org/10.1103/PhysRevLett.77.2077	journal	September 1996
Stability of Elastic Glass Phases in Random Field XY Magnets and Vortex Lattices in Type-II Superconductors Fisher, Daniel S. Physical Review Letters, Vol. 78, Issue 10 https://doi.org/10.1103/PhysRevLett.78.1964	journal	March 1997
Phase Diagram of Disordered Vortices from London Langevin Simulations van Otterlo, Anne; Scalettar, Richard T.; Zimányi, Gergely T. Physical Review Letters, Vol. 81, Issue 7 https://doi.org/10.1103/PhysRevLett.81.1497	journal	August 1998
Simulation of Flux Lines with Columnar Pins: Bose Glass and Entangled Liquids Sen, Prasenjit; Trivedi, Nandini; Ceperley, D. M. Physical Review Letters, Vol. 86, Issue 18 https://doi.org/10.1103/PhysRevLett.86.4092	journal	April 2001
Creep of Superconducting Vortices in the Limit of Vanishing Temperature: A Fingerprint of Off-Equilibrium Dynamics Nicodemi, Mario; Jeldtoft Jensen, Henrik Physical Review Letters, Vol. 86, Issue 19 https://doi.org/10.1103/PhysRevLett.86.4378	journal	May 2001
Direct Observation of the Flux-Line Vortex Glass Phase in a Type II Superconductor Divakar, U.; Drew, A. J.; Lee, S. L. Physical Review Letters, Vol. 92, Issue 23 https://doi.org/10.1103/PhysRevLett.92.237004	journal	June 2004
Out-of-Equilibrium Dynamics of the Vortex Glass in Superconductors Bustingorry, Sebastian; Cugliandolo, Leticia F.; Domínguez, Daniel Physical Review Letters, Vol. 96, Issue 2 https://doi.org/10.1103/PhysRevLett.96.027001	journal	January 2006
Vortices in high-temperature superconductors Blatter, G.; Feigel'man, M. V.; Geshkenbein, V. B. Reviews of Modern Physics, Vol. 66, Issue 4 https://doi.org/10.1103/RevModPhys.66.1125	journal	October 1994
Vortex washboard voltage noise in type-II superconductors Bullard, T. J.; Das, J.; Daquila, G. L. The European Physical Journal B, Vol. 65, Issue 4 https://doi.org/10.1140/epjb/e2008-00358-7	journal	October 2008
Off-equilibrium properties of vortex creep in superconductors Jensen, H. Jeldtoft; Nicodemi, M. Europhysics Letters (EPL), Vol. 54, Issue 5 https://doi.org/10.1209/epl/i2001-00285-3	journal	June 2001
Entanglement transition of elastic lines in a strongly disordered environment Petäjä, V.; Alava, M.; Rieger, H. Europhysics Letters (EPL), Vol. 66, Issue 6 https://doi.org/10.1209/epl/i2003-10259-y	journal	June 2004
Ageing memory and glassiness of a driven vortex system Du, Xu; Li, Guohong; Andrei, Eva Y. arXiv https://doi.org/10.48550/arxiv.0705.0779	text	January 2007
Nonequilibrium critical dynamics of the three-dimensional gauge glass Roma, F.; Dominguez, D. arXiv https://doi.org/10.48550/arxiv.0806.1219	text	January 2008
Eigenvalue method to compute the largest relaxation time of disordered systems Monthus, Cecile; Garel, Thomas arXiv https://doi.org/10.48550/arxiv.0910.4833	text	January 2009
Aging in coarsening diluted ferromagnets Park, Hyunhang; Pleimling, Michel arXiv https://doi.org/10.48550/arxiv.1009.1677	text	January 2010
Off equilibrium properties of vortex creep in superconductors Jensen, Henrik Jeldtoft; Nicodemi, Mario arXiv https://doi.org/10.48550/arxiv.cond-mat/0006491	text	January 2000
A Bragg glass phase in the vortex lattice of a type II superconductor Klein, T.; Joumard, I.; Blanchard, S. arXiv https://doi.org/10.48550/arxiv.cond-mat/0110018	text	January 2001
Langevin simulations of the out-of-equilibrium dynamics of the vortex glass in high-temperature superconductors Bustingorry, Sebastian; Cugliandolo, Leticia F.; Dominguez, Daniel arXiv https://doi.org/10.48550/arxiv.cond-mat/0608665	text	January 2006
Elastic Theory of pinned flux lattices Giamarchi, T.; Doussal, P. Le arXiv https://doi.org/10.48550/arxiv.cond-mat/9303051	text	January 1993
Moving glass phase of driven lattices Giamarchi, Thierry; Doussal, Pierre Le arXiv https://doi.org/10.48550/arxiv.cond-mat/9512006	text	January 1995
Topological Order in the Vortex Glass Phase of High-Temperature Superconductors Kierfeld, J.; Nattermann, T.; Hwa, T. arXiv https://doi.org/10.48550/arxiv.cond-mat/9512101	text	January 1995
Stability of Elastic Glass Phases in Random Field XY Magnets and Vortex Lattices in Type II Superconductors Fisher, Daniel S. arXiv https://doi.org/10.48550/arxiv.cond-mat/9610146	text	January 1996
The Phase Diagram of Disordered Vortices from London Langevin Simulations van Otterlo, Anne; Scalettar, Richard T.; Zimanyi, Gergely T. arXiv https://doi.org/10.48550/arxiv.cond-mat/9803021	text	January 1998

Cited By (7)

Disordered vortex matter out of equilibrium: a Langevin molecular dynamics study Assi, Hiba; Chaturvedi, Harshwardhan; Dobramysl, Ulrich arXiv https://doi.org/10.48550/arxiv.1509.02227	text	January 2015
On relaxations and aging of various glasses Amir, A.; Oreg, Y.; Imry, Y. Proceedings of the National Academy of Sciences, Vol. 109, Issue 6 https://doi.org/10.1073/pnas.1120147109	journal	February 2012
Electromigration-induced resistance switching in indented Al microstrips Lombardo, J.; Collienne, S.; Petrillo, A. New Journal of Physics, Vol. 21, Issue 11 https://doi.org/10.1088/1367-2630/ab5025	journal	November 2019
Skyrmion relaxation dynamics in the presence of quenched disorder Brown, Barton L.; Täuber, Uwe C.; Pleimling, Michel Physical Review B, Vol. 100, Issue 2 https://doi.org/10.1103/physrevb.100.024410	journal	July 2019
Critical scaling and aging near the flux-line-depinning transition Chaturvedi, Harshwardhan; Dobramysl, Ulrich; Pleimling, Michel Physical Review B, Vol. 101, Issue 2 https://doi.org/10.1103/physrevb.101.024515	journal	January 2020
Neutron stars in the laboratory Graber, Vanessa; Andersson, Nils; Hogg, Michael International Journal of Modern Physics D, Vol. 26, Issue 08 https://doi.org/10.1142/s0218271817300154	journal	April 2017
Neutron Stars in the Laboratory Graber, Vanessa; Andersson, Nils; Hogg, Michael arXiv https://doi.org/10.48550/arxiv.1610.06882	text	January 2016

Similar Records

Flux line relaxation kinetics following current quenches in disordered type-II superconductors

Journal Article · Thu Aug 18 20:00:00 EDT 2016 · Journal of Statistical Mechanics · OSTI ID:1855177

Relaxation dynamics of vortex lines in disordered type-II superconductors following magnetic field and temperature quenches

Journal Article · Mon Nov 16 19:00:00 EST 2015 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics · OSTI ID:1855163

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY

Relaxation and glassy dynamics in disordered type-II superconductors

Citation Formats

References (61)

Cited By (7)

Similar Records

Related Subjects