Abstract
The ‘mixed state’ of type II superconductors occurs when magnetic flux penetrates the material (in the form of vortices) without destroying the superconducting ground state. Zero resistivity is retained if the vortices are pinned by crystalline defects, but is destroyed by vortex motion. This provides the practical motivation for studying vortices in random pinning potentials1,2,3,4,5,6,7. But theinsights so obtained also bear on the more general class of problems involving the dynamics of elastic media in the presence of quenched disorder8 (for example, mechanical friction). Moreover, the magnetic vortex system is highly tunable and permits questions concerning frictional, plastic and elastic flow9 to be investigated on the scale of single vortices. Remarkable results have been obtained on the dynamics of this system10,11,12,13,14,15,16,17, but have been largely restricted to well separated vortices at very low flux densities. Scanning tunnelling microscopy has the potential to resolve individual vortices at much higher flux densities18,19,20,21, and here we show that the imaging rates can be sufficiently high toresolve the dynamics in this flux regime. We find that, in thepresence of strongly pinning line defects, the vortex lattice remains pinned until the number of vortices is about twice that ofthe defects, at which point plastic creep commences. But in thepresence of weak intrinsic point disorder, the vortices creep coherently along one of the principle axes of the vortex lattice, where they exhibit striking and unanticipated velocity modulations that appear to be related to the lattice periodicity.
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References
Blatter, G. et al. . Vortices in high-temperature superconductors. Rev. Mod. Phys. 66, 1125–1388 (1994).
Koshelev, A. E. & Vinokur, V. M. Dynamic melting of the vortex lattice. Phys. Rev. Lett. 73, 3580–3583 (1994).
Giamarchi, T. & LeDoussal, P. Moving glass phase of driven lattices. Phys. Rev. Lett. 76, 3408–3411 (1996).
Le Doussal, P. & Giamarchi, T. Moving glass theory of driven lattices with disorder. Phys. Rev. B 57, 11356–11403 (1998).
Moon, K., Scalettar, R. & Zimámny, G. T. Dynamical phases of driven vortex systems. Phys. Rev. Lett. 77, 2778–2781 (1996).
Scheidl, S. & Vinokur, V. M. Driven dynamics of periodic elastic media in disorder. Phys. Rev. B 57, 13800–13810 (1998).
Balents, L., Marchetti, M. C. & Radzikovsky, L. Nonequilibrium steady states of driven periodic media. Phys. Rev. B 57, 7705–7739 (1998).
Nattermann, T. Scaling approach to pinning; Charge-density waves and giant flux creep in superconductors. Phys. Rev. Lett. 64, 2454–2457 (1990).
Olsen, C. J., Reichhardt, C. & Nori, F. Nonequilibrium dynamics phase diagram for vortex lattices. Phys. Rev. Lett. 81, 3757–3760 (1998).
Osakabe, N., Kasai, H., Kodama, T. & Tonomura, A. Time-resolved analysis in transmission electron microscopy and its application to the study of the dynamics of vortices. Phys. Rev. Lett. 78, 1711–1714 (1997).
Kirtley, J. R. et al. . Direct imaging of integer and half-integer Josephson vortices in high-T cgrain boundaries. Phys. Rev. Lett. 76, 1336–1339 (1996).
Oral, A. et al. . Direct observation of melting of the vortex solid in Bi2Sr2CaCu2O8+δsingle crystals. Phys. Rev. Lett. 80, 3610–3613 (1998).
Mozer, A. et al. . Observation of single vortices condensed into a vortex-glass phase by magnetic force microscopy. Phys. Rev. Lett. 74, 1847–1850 (1995).
Bolle, C. A., de la Cruz, F., Gammel, P. L., Waszczak, J. V. & Bishop, D. J. Observation of tilt induced orientational order in the magnetic flux lattice 2H -NbSe2. Phys. Rev. Lett. 71, 4039–4042 (1993).
Yao, Z. et al. . Path of magnetic flux lines through high-T c copper oxide superconductors. Nature 371, 777–779 (1994).
Marchevsky, M. V., Aarts, J., Kes, P. H. & Indenbom, M. V. Observation of the correlated vortex flow in NbSe2. Phys. Rev. Lett. 78, 531–534 (1997).
Pardo, F. et al. . Real space images of the vortex lattice structure in a Type II superconductor during creep over a barrier. Phys. Rev. Lett. 79, 1369–1372 (1997).
Hess, H. F., Robinson, R. B. & Waszczak, J. V. Vortex-core structure observed with a scanning tunneling microscope. Phys. Rev. Lett. 64, 2711–2714 (1990).
Maggio-Aprile, I., Renner, Ch., Erb, A., Walker, E. & Fischer, & Oslash; . Direct vortex lattice imaging and tunneling spectroscopy of flux lines on Yba2Cu3O7−δ. Phys. Rev. Lett. 75, 2754–2757 (1995).
Renner, Ch., Revaz, B., Kadowaki, K., Maggio-Aprile, I. & Fischer, & Oslash;. Observation of the low temperature pseudogap in the vortex cores of Bi2Sr2CaCu2O8+δ. Phys. Rev. Lett. 80, 3606–3609 (1998).
De Wilde, Y. et al. . Scanning tunneling microscopy observation of a square Abrikosov lattice in LuNi2B2C. Phys. Rev. Lett. 78, 4273–4276 (1997).
Volodin, A. P., Golubov, A. A. & Aarts, J. Vortex core shapes measured by STM. Z. Phys. B 102, 317–321 (1997).
Volodin, A. P. & Troyanovski, A. M. Athree-phase piezoinertio motor for a low temperature STM. Instr. Exp. Techn. 40, 724–726 (1997).
Wengel, C. & Tauber, U. C. Weakly pinned Bose glass vs Mott insulator phase in superconductors. Phys. Rev. Lett. 78, 4845–4848 (1997).
Behler, S. et al. . Vortex pinning in ion-irradiated NbSe2 studied by scanning tunneling microscopy. Phys. Rv. Lett. 72, 1750–1753 (1994).
van der Beek, C. J., Nieuwenhuys, G. J. & Kes, P. H. Nonlinear current diffusion in type-II superconductors. Physica C 197, 320–336 (1992).
Larkin, A. I. & Ovchinnikov, Yu. N. Pinning in type II superconductors. J. Low Temp. Phys. 34, 409–427 (1979).
Angurel, L. A., Amin, F., Polichetti, M., Aarts, J. & Kes, P. H. Dimensionality of collective pinning in 2H -NbSe2 single crystals. Phys. Rev. B 56, 3425–3432 (1997).
Schmid, A. & Hauger, W. On the theory of vortex motion in an inhomogeneous superconducting film. J. Low Temp. Phys. 11, 667–685 (1973).
Bauer, P. et al. . Depth sensitive visualisation of irradiation-induced columnar defects in 2H-NbSE2. Euro. Phys. Lett. 23, 585–591 (1993).
Acknowledgements
We thank A. P. Volodin for developing the first version of our STM, R. J. Drost for auxiliary experiments, M. Konczykowski for carrying out the heavy ion irradiation at GANIL (Caen, France), and M. V. Marchevsky, P. Le Doussal and T. Giamarchi for discussions. This project was partially supported by FOM and the Dutch-Russian Science Collaboration financed by NWO.
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Troyanovski, A., Aarts, J. & Kes, P. Collective and plastic vortex motion in superconductors at high flux densities. Nature 399, 665–668 (1999). https://doi.org/10.1038/21385
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DOI: https://doi.org/10.1038/21385
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