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

Assi, Hiba; Chaturvedi, Harshwardhan; Dobramysl, Ulrich; Pleimling, Michel; Täuber, Uwe C.

doi:10.1103/physreve.92.052124

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

Journal Article · Tue Nov 17 00:00:00 EST 2015 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

DOI:https://doi.org/10.1103/physreve.92.052124· OSTI ID:1855163

Assi, Hiba ^[1]; Chaturvedi, Harshwardhan ^[2]; Dobramysl, Ulrich ^[3]; Pleimling, Michel ^[2]; 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)
Univ. of Oxford (United Kingdom)

We study the effects of rapid temperature and magnetic field changes on the nonequilibrium relaxation dynamics of magnetic vortex lines in disordered type-II superconductors by employing an elastic line model and performing Langevin molecular dynamics simulations. In a previously equilibrated system, either the temperature is suddenly changed or the magnetic field is instantaneously altered which is reflected in adding or removing flux lines to or from the system. Here, the subsequent aging properties are investigated in samples with either randomly distributed pointlike or extended columnar defects, which allows us to distinguish the complex relaxation features that result from either type of pinning centers. One-time observables such as the radius of gyration and the fraction of pinned line elements are employed to characterize steady-state properties, and two-time correlation functions such as the vortex line height autocorrelations and their mean-square displacement are analyzed to study the nonlinear stochastic relaxation dynamics in the aging regime.

View Accepted Manuscript (DOE)

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

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

Grant/Contract Number:: SC0002308

OSTI ID:: 1855163

Alternate ID(s):: OSTI ID: 1226178

Journal Information:: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, Journal Name: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics Journal Issue: 5 Vol. 92; ISSN 1539-3755

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (42)

Ageing and the Glass Transition Henkel, Malte; Pleimling, Michel; Sanctuary, Roland Lecture Notes in Physics https://doi.org/10.1007/3-540-69684-9	book	January 2007
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
Hall-array measurements of flux creep parameters in Y-Ba-Cu-O crystals Abulafia, Y.; Shaulov, A.; Wolfus, Y. Journal of Low Temperature Physics, Vol. 107, Issue 5-6 https://doi.org/10.1007/BF02397227	journal	June 1997
The effect of correlated and point defects on the vortex lattice melting transition in single-crystal YBa2Cu3O7-δ Kwok, W. K.; Fendrich, J.; Fleshler, S. Physica B: Condensed Matter, Vol. 197, Issue 1-4 https://doi.org/10.1016/0921-4526(94)90259-3	journal	March 1994
Superfluid bosons and flux liquids: disorder, thermal fluctuations, and finite-size effects Täuber, Uwe C.; Nelson, David R. Physics Reports, Vol. 289, Issue 3 https://doi.org/10.1016/S0370-1573(97)00010-0	journal	October 1997
Superfluid bosons and flux liquids: disorder, thermal fluctuations, and finite-size effects (Physics reports 289 (1997) 157–233) Täuber, Uwe C.; Nelson, David R. Physics Reports, Vol. 296, Issue 5-6 https://doi.org/10.1016/S0370-1573(97)00078-1	journal	March 1998
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
A scanning superconducting quantum interference device with single electron spin sensitivity Vasyukov, Denis; Anahory, Yonathan; Embon, Lior Nature Nanotechnology, Vol. 8, Issue 9 https://doi.org/10.1038/nnano.2013.169	journal	September 2013
Mechanics of individual isolated vortices in a cuprate superconductor Auslaender, Ophir M.; Luan, Lan; Straver, Eric W. J. Nature Physics, Vol. 5, Issue 1 https://doi.org/10.1038/nphys1127	journal	November 2008
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
Vortex-glass phases in type-II superconductors Nattermann, T.; Scheidl, S. Advances in Physics, Vol. 49, Issue 5 https://doi.org/10.1080/000187300412257	journal	July 2000
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
Vortex structures, penetration depth and pairing in iron-based superconductors studied by small-angle neutron scattering Eskildsen, M. R.; Forgan, E. M.; Kawano-Furukawa, H. Reports on Progress in Physics, Vol. 74, Issue 12 https://doi.org/10.1088/0034-4885/74/12/124504	journal	September 2011
The behaviour of the flux flow resistance in YBCO/(Ag ₂ O) _x Abdelhadi, M. M.; Ziq, K. A. Superconductor Science and Technology, Vol. 7, Issue 3 https://doi.org/10.1088/0953-2048/7/3/002	journal	March 1994
Scaling behaviors and novel creep motion of ac-driven flux lines in type II superconductor with random point pins Cao, Wei-Ping; Luo, Meng-Bo; Hu, Xiao New Journal of Physics, Vol. 14, Issue 1 https://doi.org/10.1088/1367-2630/14/1/013006	journal	January 2012
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
Algorithm for computer simulations of flux-lattice melting in type-II superconductors Brass, A.; Jensen, H. J. Physical Review B, Vol. 39, Issue 13 https://doi.org/10.1103/PhysRevB.39.9587	journal	May 1989
Boson localization and the superfluid-insulator transition Fisher, Matthew P. A.; Weichman, Peter B.; Grinstein, G. Physical Review B, Vol. 40, Issue 1 https://doi.org/10.1103/PhysRevB.40.546	journal	July 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
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
Relaxation and glassy dynamics in disordered type-II superconductors Pleimling, Michel; Täuber, Uwe C. Physical Review B, Vol. 84, Issue 17 https://doi.org/10.1103/PhysRevB.84.174509	journal	November 2011
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
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
Vortex confinement by columnar defects in YBa 2 Cu 3 O 7 crystals: Enhanced pinning at high fields and temperatures Civale, L.; Marwick, A. D.; Worthington, T. K. Physical Review Letters, Vol. 67, Issue 5 https://doi.org/10.1103/PhysRevLett.67.648	journal	July 1991
Boson localization and pinning by correlated disorder in high-temperature superconductors Nelson, David R.; Vinokur, V. M. Physical Review Letters, Vol. 68, Issue 15 https://doi.org/10.1103/PhysRevLett.68.2398	journal	April 1992
Vortex lattice melting in untwinned and twinned single crystals of YBa 2 Cu 3 O 7 − δ Kwok, W. K.; Fleshler, S.; Welp, U. Physical Review Letters, Vol. 69, Issue 23 https://doi.org/10.1103/PhysRevLett.69.3370	journal	December 1992
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
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
Magnetic Aging in Bi 2 Sr 2 CaCu 2 O 8 Displaying the Paramagnetic Meissner Effect Papadopoulou, E. L.; Nordblad, P.; Svedlindh, P. Physical Review Letters, Vol. 82, Issue 1 https://doi.org/10.1103/PhysRevLett.82.173	journal	January 1999
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
Nanorod-Superconductor Composites: A Pathway to Materials with High Critical Current Densities Yang, P.; Lieber, C. M. Science, Vol. 273, Issue 5283 https://doi.org/10.1126/science.273.5283.1836	journal	September 1996
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
Relaxation dynamics in type-II superconductors with point-like and correlated disorder Dobramysl, Ulrich; Assi, Hiba; Pleimling, Michel The European Physical Journal B, Vol. 86, Issue 5 https://doi.org/10.1140/epjb/e2013-31101-x	journal	May 2013
Flux Pinning by Linear Defects Lyuksyutov, I. F. Europhysics Letters (EPL), Vol. 20, Issue 3 https://doi.org/10.1209/0295-5075/20/3/014	journal	October 1992

Cited By (7)

Strong-pinning regimes by spherical inclusions in anisotropic type-II superconductors Willa, R.; Koshelev, A. E.; Sadovskyy, I. A. Superconductor Science and Technology, Vol. 31, Issue 1 https://doi.org/10.1088/1361-6668/aa939e	journal	November 2017
Paramagnetic Meissner effect in ZrB ₁₂ single crystal with non-monotonic vortex–vortex interactions Ge, Jun-Yi; Gladilin, Vladimir N.; Sluchanko, Nikolay E. New Journal of Physics, Vol. 19, Issue 9 https://doi.org/10.1088/1367-2630/aa8246	journal	September 2017
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
Dynamical regimes of vortex flow in type-II superconductors with parallel twin boundaries Chaturvedi, H.; Galliher, N.; Dobramysl, Ulrich Apollo - University of Cambridge Repository https://doi.org/10.17863/cam.46400	text	January 2019
Paramagnetic Meissner effect in ZrB12 single crystal with non-monotonic vortex-vortex interactions Ge, Jun-Yi; Gladilin, Vladimir N.; Sluchanko, Nikolay E. arXiv https://doi.org/10.48550/arxiv.1708.00628	text	January 2017
Strong-pinning regimes by spherical inclusions in anisotropic type-II superconductors Willa, R.; Koshelev, A. E.; Sadovskyy, I. A. arXiv https://doi.org/10.48550/arxiv.1708.01653	text	January 2017
Dynamical regimes of vortex flow in type-II superconductors with parallel twin boundaries Chaturvedi, Harshwardhan; Galliher, Nathan; Dobramysl, Ulrich arXiv https://doi.org/10.48550/arxiv.1710.03679	text	January 2017

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