Dynamical instability of the electric transport in superconductors

Qiao, Lei; Li, Dingping; Postolova, Svetlana V.; Mironov, Alexey Yu.; Vinokur, Valerii; Rosenstein, Baruch

doi:10.1038/s41598-018-32302-8

Title: Dynamical instability of the electric transport in superconductors

Journal Article · 19 September 2018 · Scientific Reports

DOI: https://doi.org/10.1038/s41598-018-32302-8 · OSTI ID:1476650

Qiao, Lei ^[1];

^[1]; Postolova, Svetlana V. ^[2];

^[3];

^[4]; Rosenstein, Baruch ^[5]

Peking Univ., Beijing (China); Collaborative Innovation Center of Quantum Matter, Beijing (China)
Russian Academy of Sciences (RAS), Novosibirsk (Russian Federation)
Russian Academy of Sciences (RAS), Novosibirsk (Russian Federation); Novosibirsk State Univ. (Russian Federation)
Argonne National Lab. (ANL), Lemont, IL (United States)
National Chiao Tung Univ., Hsinchu (China); Bar-Ilan Univ., Ramat-Gan (Israel)

We develop a nonlinear theory of the electronic transport in superconductors in the framework of the time-dependent Ginzburg-Landau (TDGL) equation. We utilize self-consistent Gaussian approximation and reveal the conditions under which the current-voltage V(I) dependence (I-V characteristics) acquires an S-shape form leading to switching instabilities. We demonstrate that in two-dimensions the emergence of such an instability is a hallmark of the Berezinskii-Kosterlitz-Thou less (BKT) transition that we have detected by transport measurements of titanium nitride (TiN) films. Our theoretical findings compare favorably with our experimental results.

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Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States)

Sponsoring Organization:: National Natural Science Foundation of China (NSFC); Russian Science Foundation; USDOE Office of Science - Office of Basic Energy Sciences - Materials Sciences and Engineering Division

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1476650

Journal Information:: Scientific Reports, Journal Name: Scientific Reports Journal Issue: 1 Vol. 8; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

References (81)

The influence of fluctuation pairing of electrons on the conductivity of normal metal Aslamasov, L. G.; Larkin, A. I. Physics Letters A, Vol. 26, Issue 6, p. 238-239 https://doi.org/10.1016/0375-9601(68)90623-3	journal	February 1968
Suppression of superconductivity in homogeneously disordered systems Finkel'stein, A. M. Physica B: Condensed Matter, Vol. 197, Issue 1-4 https://doi.org/10.1016/0921-4526(94)90267-4	journal	March 1994
Covariant gaussian approximation in Ginzburg–Landau model Wang, J. F.; Li, D. P.; Kao, H. C. Annals of Physics, Vol. 380 https://doi.org/10.1016/j.aop.2017.03.015	journal	May 2017
Transport properties of ultra-thin granular YBa 2 Cu 3 O 7− δ nanobridges Bar, E.; Levi, D.; Koren, G. Physica C: Superconductivity and its Applications, Vol. 506 https://doi.org/10.1016/j.physc.2014.03.022	journal	November 2014
Superconductivity of very thin films: The superconductor–insulator transition Lin, Yen-Hsiang; Nelson, J.; Goldman, A. M. Physica C: Superconductivity and its Applications, Vol. 514 https://doi.org/10.1016/j.physc.2015.01.005	journal	July 2015
Superconductor–insulator transition in amorphous In–O films Gantmakher, V. Physica B: Condensed Matter, Vol. 284-288 https://doi.org/10.1016/s0921-4526(99)02305-4	journal	July 2000
Ising Superconductivity and Quantum Phase Transition in Macro-Size Monolayer NbSe ₂ Xing, Ying; Zhao, Kun; Shan, Pujia Nano Letters, Vol. 17, Issue 11 https://doi.org/10.1021/acs.nanolett.7b03026	journal	October 2017
Superinsulator and quantum synchronization Vinokur, Valerii M.; Baturina, Tatyana I.; Fistul, Mikhail V. Nature, Vol. 452, Issue 7187 https://doi.org/10.1038/nature06837	journal	April 2008
Atomic layer deposition of transition metals Lim, Booyong S.; Rahtu, Antti; Gordon, Roy G. Nature Materials, Vol. 2, Issue 11 https://doi.org/10.1038/nmat1000	journal	October 2003
Nature of the quantum metal in a two-dimensional crystalline superconductor Tsen, A. W.; Hunt, B.; Kim, Y. D. Nature Physics, Vol. 12, Issue 3 https://doi.org/10.1038/nphys3579	journal	December 2015
Reentrant Resistive Behavior and Dimensional Crossover in Disordered Superconducting TiN Films Postolova, Svetlana V.; Mironov, Alexey Yu.; Baklanov, Mikhail R. Scientific Reports, Vol. 7, Issue 1 https://doi.org/10.1038/s41598-017-01753-w	journal	May 2017
Charge Berezinskii-Kosterlitz-Thouless transition in superconducting NbTiN films Mironov, Alexey Yu.; Silevitch, Daniel M.; Proslier, Thomas Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-22451-1	journal	March 2018
Evidence for a Finite-Temperature Insulator Ovadia, M.; Kalok, D.; Tamir, I. Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep13503	journal	August 2015
Quasi-two-dimensional superconductivity in FeSe0.3Te0.7 thin films and electric-field modulation of superconducting transition Lin, Zhu; Mei, Chenguang; Wei, Linlin Scientific Reports, Vol. 5, Issue 1 https://doi.org/10.1038/srep14133	journal	September 2015
Duality picture of Superconductor-insulator transitions on Superconducting nanowire Makise, Kazumasa; Terai, Hirotaka; Tominari, Yukihiro Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep27001	journal	June 2016
Hot‐electron limitation to the sensitivity of the dc superconducting quantum interference device Wellstood, Frederick C.; Urbina, Cristian; Clarke, John Applied Physics Letters, Vol. 54, Issue 25 https://doi.org/10.1063/1.101062	journal	June 1989
Current–voltage characteristics of Pb and Sn granular superconducting nanowires Michotte, Sébastien; Mátéfi-Tempfli, Stefan; Piraux, Luc Applied Physics Letters, Vol. 82, Issue 23 https://doi.org/10.1063/1.1582356	journal	June 2003
Physical Phenomena in Semiconductors with Negative Differential Conductivity Volkov, A. F.; Kogan, Sh M. Soviet Physics Uspekhi, Vol. 11, Issue 6 https://doi.org/10.1070/PU1969v011n06ABEH003780	journal	June 1969
Superconductivity in the PbO-type structure -FeSe Hsu, F. -C.; Luo, J. -Y.; Yeh, K. -W. Proceedings of the National Academy of Sciences, Vol. 105, Issue 38 https://doi.org/10.1073/pnas.0807325105	journal	September 2008
Improvement of the critical temperature of superconducting NbTiN and NbN thin films using the AlN buffer layer Shiino, Tatsuya; Shiba, Shoichi; Sakai, Nami Superconductor Science and Technology, Vol. 23, Issue 4 https://doi.org/10.1088/0953-2048/23/4/045004	journal	March 2010
Superconducting fluctuations and the Nernst effect in high- T _c superconductors Chen, Y-J; Lin, P. J.; Wu, K. H. Superconductor Science and Technology, Vol. 26, Issue 10 https://doi.org/10.1088/0953-2048/26/10/105029	journal	September 2013
Superconductor–insulator transition in two-dimensional NbN/MgO and NbN/AlN/MgO films Makise, K.; Odou, T.; Ezaki, S. Materials Research Express, Vol. 2, Issue 10 https://doi.org/10.1088/2053-1591/2/10/106001	journal	October 2015
Precise Critical-Field Measurements of Superconducting Sn Films in the London Limit Douglass, D. H.; Blumberg, R. H. Physical Review, Vol. 127, Issue 6 https://doi.org/10.1103/PhysRev.127.2038	journal	September 1962
Diamagnetic Susceptibility at the Transition to the Superconducting State Schmid, Albert Physical Review, Vol. 180, Issue 2 https://doi.org/10.1103/PhysRev.180.527	journal	April 1969
Electrical Conductivity of a Superconductor Masker, W. E.; Marčelja, S.; Parks, R. D. Physical Review, Vol. 188, Issue 2 https://doi.org/10.1103/PhysRev.188.745	journal	December 1969
Onset of Superconductivity in One-Dimensional Systems Tucker, J. R.; Halperin, B. I. Physical Review B, Vol. 3, Issue 11 https://doi.org/10.1103/PhysRevB.3.3768	journal	June 1971
Effect of fluctuations on the transport properties of type-II superconductors in a magnetic field Ullah, Salman; Dorsey, Alan T. Physical Review B, Vol. 44, Issue 1 https://doi.org/10.1103/PhysRevB.44.262	journal	July 1991
Electron-phonon scattering rates in disordered metallic films below 1 K Echternach, P. M.; Thoman, M. R.; Gould, C. M. Physical Review B, Vol. 46, Issue 16 https://doi.org/10.1103/PhysRevB.46.10339	journal	October 1992
Flux-flow instability and its anisotropy in Bi 2 Sr 2 CaCu 2 O 8 + δ superconducting films Xiao, Z. L.; Voss-de Haan, P.; Jakob, G. Physical Review B, Vol. 59, Issue 2 https://doi.org/10.1103/PhysRevB.59.1481	journal	January 1999
Theory of Nernst effect in high- T c superconductors Tinh, Bui Duc; Rosenstein, Baruch Physical Review B, Vol. 79, Issue 2 https://doi.org/10.1103/PhysRevB.79.024518	journal	January 2009
Dynamic ordering and instability of the vortex lattice in Nb films exhibiting moderately strong pinning Grimaldi, G.; Leo, A.; Nigro, A. Physical Review B, Vol. 80, Issue 14 https://doi.org/10.1103/PhysRevB.80.144521	journal	October 2009
Electrical conductivity beyond a linear response in layered superconductors under a magnetic field Tinh, Bui Duc; Li, Dingping; Rosenstein, Baruch Physical Review B, Vol. 81, Issue 22 https://doi.org/10.1103/PhysRevB.81.224521	journal	June 2010
Strong thermal fluctuations in cuprate superconductors in magnetic fields above T c Jiang, Xujiang; Li, Dingping; Rosenstein, Baruch Physical Review B, Vol. 89, Issue 6 https://doi.org/10.1103/PhysRevB.89.064507	journal	February 2014
Covariant Gaussian approximation. I. Formalism Kovner, A.; Rosenstein, B. Physical Review D, Vol. 39, Issue 8 https://doi.org/10.1103/PhysRevD.39.2332	journal	April 1989
Covariant Gaussian approximation. II. Scalar theories Rosenstein, B.; Kovner, A. Physical Review D, Vol. 40, Issue 2 https://doi.org/10.1103/PhysRevD.40.504	journal	July 1989
Electron-Phonon Decoupling in Disordered Insulators Ovadia, M.; Sacépé, B.; Shahar, D. Physical Review Letters, Vol. 102, Issue 17 https://doi.org/10.1103/PhysRevLett.102.176802	journal	April 2009
Tunable Superconducting Phase Transition in Metal-Decorated Graphene Sheets Kessler, B. M.; Girit, Ç. Ö.; Zettl, A. Physical Review Letters, Vol. 104, Issue 4 https://doi.org/10.1103/PhysRevLett.104.047001	journal	January 2010
Electronic Instability at High Flux-Flow Velocities in High- T c Superconducting Films Doettinger, S. G.; Huebener, R. P.; Gerdemann, R. Physical Review Letters, Vol. 73, Issue 12 https://doi.org/10.1103/PhysRevLett.73.1691	journal	September 1994
Electric-Field-Induced Electronic Instability in Amorphous Mo 3 Si Superconducting Films Samoilov, A. V.; Konczykowski, M.; Yeh, N. -C. Physical Review Letters, Vol. 75, Issue 22 https://doi.org/10.1103/PhysRevLett.75.4118	journal	November 1995
Current-Voltage Characteristics of Quasi-One-Dimensional Superconductors: An S -Shaped Curve in the Constant Voltage Regime Vodolazov, D. Y.; Peeters, F. M.; Piraux, L. Physical Review Letters, Vol. 91, Issue 15 https://doi.org/10.1103/PhysRevLett.91.157001	journal	October 2003
Localized Superconductivity in the Quantum-Critical Region of the Disorder-Driven Superconductor-Insulator Transition in TiN Thin Films Baturina, T. I.; Mironov, A. Yu.; Vinokur, V. M. Physical Review Letters, Vol. 99, Issue 25 https://doi.org/10.1103/PhysRevLett.99.257003	journal	December 2007
Self-heating in normal metals and superconductors Gurevich, A. Vl.; Mints, R. G. Reviews of Modern Physics, Vol. 59, Issue 4 https://doi.org/10.1103/RevModPhys.59.941	journal	October 1987
Ginzburg-Landau theory of type II superconductors in magnetic field Rosenstein, Baruch; Li, Dingping Reviews of Modern Physics, Vol. 82, Issue 1 https://doi.org/10.1103/RevModPhys.82.109	journal	January 2010
Dielectric properties of a disordered Bose condensate Gold, A. Physical Review A, Vol. 33, Issue 1 https://doi.org/10.1103/physreva.33.652	journal	January 1986
Diamagnetic Susceptibility at the Transition to the Superconducting State Prange, R. E. Physical Review B, Vol. 1, Issue 5 https://doi.org/10.1103/physrevb.1.2349	journal	March 1970
Microwave, Flux Flow, and Fluctuation Resistance of Dirty Type-II Superconductors Thompson, Richard S. Physical Review B, Vol. 2, Issue 5 https://doi.org/10.1103/physrevb.2.1433.2	journal	September 1970
Superconducting fluctuation conductivity in a magnetic field in two dimensions Lopes dos Santos, J. M. B.; Abrahams, E. Physical Review B, Vol. 31, Issue 1 https://doi.org/10.1103/physrevb.31.172	journal	January 1985
Threshold for superconductivity in ultrathin amorphous gallium films Jaeger, H. M.; Haviland, D. B.; Goldman, A. M. Physical Review B, Vol. 34, Issue 7 https://doi.org/10.1103/physrevb.34.4920	journal	October 1986
Superconductivity near the mobility edge Shahar, D.; Ovadyahu, Z. Physical Review B, Vol. 46, Issue 17 https://doi.org/10.1103/physrevb.46.10917	journal	November 1992
Existence of a Bose metal at T = 0 Das, D.; Doniach, S. Physical Review B, Vol. 60, Issue 2 https://doi.org/10.1103/physrevb.60.1261	journal	July 1999
Double reentrant superconductor-insulator transition in thin TiN films Hadacek, N.; Sanquer, M.; Villégier, J. -C. Physical Review B, Vol. 69, Issue 2 https://doi.org/10.1103/physrevb.69.024505	journal	January 2004
Approach to a superconductor-to-Bose-insulator transition in disordered films Steiner, Myles A.; Breznay, Nicholas P.; Kapitulnik, Aharon Physical Review B, Vol. 77, Issue 21 https://doi.org/10.1103/physrevb.77.212501	journal	June 2008
Broadening of the Berezinskii-Kosterlitz-Thouless superconducting transition by inhomogeneity and finite-size effects Benfatto, L.; Castellani, C.; Giamarchi, T. Physical Review B, Vol. 80, Issue 21 https://doi.org/10.1103/physrevb.80.214506	journal	December 2009
Robustness of the Berezinskii-Kosterlitz-Thouless transition in ultrathin NbN films near the superconductor-insulator transition Yong, Jie; Lemberger, T. R.; Benfatto, L. Physical Review B, Vol. 87, Issue 18 https://doi.org/10.1103/physrevb.87.184505	journal	May 2013
Unconventional superconductivity in ultrathin superconducting NbN films studied by scanning tunneling spectroscopy Noat, Y.; Cherkez, V.; Brun, C. Physical Review B, Vol. 88, Issue 1 https://doi.org/10.1103/physrevb.88.014503	journal	July 2013
Superconductor-insulator transitions: Phase diagram and magnetoresistance Burmistrov, I. S.; Gornyi, I. V.; Mirlin, A. D. Physical Review B, Vol. 92, Issue 1 https://doi.org/10.1103/physrevb.92.014506	journal	July 2015
Berezinskii-Kosterlitz-Thouless transition in homogeneously disordered superconducting films König, E. J.; Levchenko, A.; Protopopov, I. V. Physical Review B, Vol. 92, Issue 21 https://doi.org/10.1103/physrevb.92.214503	journal	December 2015
Effective two-dimensional thickness for the Berezinskii-Kosterlitz-Thouless-like transition in a highly underdoped La 2 − x Sr x CuO 4 Baity, P. G.; Shi, Xiaoyan; Shi, Zhenzhong Physical Review B, Vol. 93, Issue 2 https://doi.org/10.1103/physrevb.93.024519	journal	January 2016
Superconducting properties of NbTiN thin films deposited by high-temperature chemical vapor deposition Hazra, D.; Tsavdaris, N.; Mukhtarova, A. Physical Review B, Vol. 97, Issue 14 https://doi.org/10.1103/physrevb.97.144518	journal	April 2018
Strongly Disordered TiN and NbTiN s -Wave Superconductors Probed by Microwave Electrodynamics Driessen, E. F. C.; Coumou, P. C. J. J.; Tromp, R. R. Physical Review Letters, Vol. 109, Issue 10 https://doi.org/10.1103/physrevlett.109.107003	journal	September 2012
Interaction Effects in Disordered Fermi Systems in Two Dimensions Altshuler, B. L.; Aronov, A. G.; Lee, P. A. Physical Review Letters, Vol. 44, Issue 19 https://doi.org/10.1103/physrevlett.44.1288	journal	May 1980
Presence of quantum diffusion in two dimensions: Universal resistance at the superconductor-insulator transition Fisher, Matthew P. A.; Grinstein, G.; Girvin, S. M. Physical Review Letters, Vol. 64, Issue 5 https://doi.org/10.1103/physrevlett.64.587	journal	January 1990
Magnetic-field-tuned superconductor-insulator transition in two-dimensional films Hebard, A. F.; Paalanen, M. A. Physical Review Letters, Vol. 65, Issue 7 https://doi.org/10.1103/physrevlett.65.927	journal	August 1990
Colloquium : Anomalous metals: Failed superconductors Kapitulnik, Aharon; Kivelson, Steven A.; Spivak, Boris Reviews of Modern Physics, Vol. 91, Issue 1 https://doi.org/10.1103/revmodphys.91.011002	journal	January 2019
Particle-hole symmetry reveals failed superconductivity in the metallic phase of two-dimensional superconducting films Breznay, Nicholas P.; Kapitulnik, Aharon Science Advances, Vol. 3, Issue 9 https://doi.org/10.1126/sciadv.1700612	journal	September 2017
Sensitivity of the superconducting state in thin films Tamir, I.; Benyamini, A.; Telford, E. J. Science Advances, Vol. 5, Issue 3 https://doi.org/10.1126/sciadv.aau3826	journal	March 2019
The Elusive Bose Metal Phillips, P. Science, Vol. 302, Issue 5643 https://doi.org/10.1126/science.1088253	journal	October 2003
Quantum Griffiths singularity of superconductor-metal transition in Ga thin films Xing, Y.; Zhang, H. -M.; Fu, H. -L. Science, Vol. 350, Issue 6260 https://doi.org/10.1126/science.aaa7154	journal	October 2015
Nonequilibrium transport near the superconducting transition in TiN films Postolova, S. V.; Mironov, A. Yu.; Baturina, T. I. JETP Letters, Vol. 100, Issue 10 https://doi.org/10.1134/S0021364014220135	journal	January 2015
Superconductor–Insulator Transition in NbTiN Films Burdastyh, M. V.; Postolova, S. V.; Baturina, T. I. JETP Letters, Vol. 106, Issue 11 https://doi.org/10.1134/s0021364017230060	journal	December 2017
The Critical Fluctuation of the Order Parameter in Type-II Superconductors Maki, Kazumi Progress of Theoretical Physics, Vol. 39, Issue 4 https://doi.org/10.1143/ptp.39.897	journal	April 1968
(Invited) Atomic Layer Deposition of Superconductors Proslier, Thomas; Klug, J.; Becker, Nicholas C. 220th ECS Meeting, ECS Transactions https://doi.org/10.1149/1.3633673	conference	January 2011
Superconducting phase transitions in ultrathin TiN films Baturina, T. I.; Postolova, S. V.; Mironov, A. Yu. EPL (Europhysics Letters), Vol. 97, Issue 1 https://doi.org/10.1209/0295-5075/97/17012	journal	January 2012
Superconductor–insulator quantum phase transition Gantmakher, Vsevolod F.; Dolgopolov, Valery T. Physics-Uspekhi, Vol. 53, Issue 1 https://doi.org/10.3367/ufne.0180.201001a.0003	journal	January 2010
Physical phenomena in semiconductors with negative differential conductivity [Физические явления в полупроводниках с отрицательной дифференциальной проводимостью] Volkov, A. F.; Kogan, Sh. M. Uspekhi Fizicheskih Nauk, Vol. 96, Issue 12 https://doi.org/10.3367/ufnr.0096.196812b.0633	journal	January 1968
The Ginzburg-Landau Theory of Type II superconductors in magnetic field Rosenstein, Baruch; Li, Dingping arXiv https://doi.org/10.48550/arxiv.0905.4224	text	January 2009
Electrical conductivity beyond linear response in layered superconductors under magnetic field Tinh, Bui Duc; Li, Dingping; Rosenstein, Baruch arXiv https://doi.org/10.48550/arxiv.1004.3003	text	January 2010
Superconducting phase transitions in ultrathin TiN films Baturina, T. I.; Postolova, S. V.; Mironov, A. Yu. arXiv https://doi.org/10.48550/arxiv.1109.5270	text	January 2011
Strong thermal fluctuations in cuprate superconductors in magnetic field above Tc Jiang, Xujiang; Li, Dingping; Rosenstein, Baruch arXiv https://doi.org/10.48550/arxiv.1307.7358	text	January 2013
Covariant gaussian approximation in Ginzburg - Landau model Wang, J. F.; Li, Dingping; Kao, H. C. arXiv https://doi.org/10.48550/arxiv.1612.09053	text	January 2016
Current-voltage characteristics of quasi-one-dimensional superconductors: An S-curve in the constant voltage regime Vodolazov, D. Y.; Peeters, F. M.; Piraux, L. arXiv https://doi.org/10.48550/arxiv.cond-mat/0304193	text	January 2003

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