Abstract.
In order to characterize flux flow through disordered type-II superconductors, we investigate the effects of columnar and point defects on the vortex velocity/voltage power spectrum in the driven non-equilibrium steady state. We employ three-dimensional Metropolis Monte Carlo simulations to measure relevant physical observables including the force-velocity/current-voltage (I-V) characteristics, vortex spatial arrangement and structure factor, and mean flux line radius of gyration.Our simulation results compare well to earlier findings and physical intuition.We focus specifically on the voltage noise power spectra in conjunction with the vortex structure factor in the presence of weak columnar and point pinning centers. We investigate the vortex washboard noise peak and associated higher harmonics,and show that the intensity ratios of the washboard harmonics are determined bythe strength of the material defects rather than the type of pins present.Through varying columnar defect lengths and pinning strengths as well as magnetic flux density we further explore the effect of the material defects on vortex transport.It is demonstrated that the radius of gyration displays quantitatively uniquefeatures that depend characteristically on the type of material defects presentin the sample.
Similar content being viewed by others
References
For a detailed review, see: G. Blatter, M.V. Feigel’man, V.B. Geshkenbein, A.I. Larkin, V.M. Vinokur, Rev. Mod. Phys. 66, 1125 (1994)
J.R. Clem, Phys. Rep. 75, 1 (1981)
E.H. Brandt, Phys. Rev. Lett. 50, 1599 (1983)
T. Matsuda, K. Harada, H. Kasai, O. Kamimura, A. Tonomura,Science 271, 1393 (1996)
H.J. Jensen, A. Brass, A.J. Berlinsky, Phys. Rev. Lett. 60, 1676 (1988)
A. Vestergren, M. Wallin, Phys. Rev. B 69, 144522 (2004)
U. Yaron, P.L. Gammel, D.A. Huse, R.N. Kleiman, C.S. Oglesby, E. Bucher, B. Batlogg, D.J. Bishop, K. Mortensen, K. Clausen, C.A. Bolle, F. De La Cruz, Phys. Rev. Lett. 73, 2748 (1994)
A.E. Koshelev, V.M. Vinokur, Phys. Rev. Lett. 73, 3580 (1994)
T. Giamarchi, P. Le Doussal, Phys. Rev. Lett. 76, 3408 (1996); P. Le Doussal, T. Giamarchi, Phys. Rev. B 57, 11356 (1998)
V. Gotcheva, A.T.J. Wang, S. Teitel, Phys. Rev. Lett. 92, 247005 (2004);V. Gotcheva, Y. Wang, A.T.J. Wang, S. Teitel, Phys. Rev. B 72, 064505 (2005)
Q.-H. Chen, X. Hu, Phys. Rev. Lett. 90, 117005 (2003)
G. Grüner, Rev. Mod. Phys. 60, 1129 (1988); G. GrünerDensity Waves in Solids (Addison-Wesley, Reading, MA, 1994)
L. Civale, A.D. Marwick, T.K. Worthington, M.A. Kirk, J.R. Thompson, L. Krusin-Elbaum, Y. Sun, J.R. Clem, F. Holtzberg, Phys. Rev. Lett. 67, 648 (1991)
D.R. Nelson, V.M. Vinokur, Phys. Rev. Lett. 68, 2398 (1992); D.R. Nelson, V.M. Vinokur, Phys. Rev. B 48, 13060 (1993)
E. Olive, J.C. Soret, P. Le Doussal, T. Giamarchi, Phys. Rev. Lett. 91, 037005 (2003)
A.T. Fiory, Phys. Rev. Lett. 27, 501 (1971)
J.M. Harris, N.P. Ong, R. Gagnon, L. Taillefer,Phys. Rev. Lett. 74, 3684 (1995)
A.M. Troyanovski, J. Aarts, P.H. Kes, Nature (London) 399, 665 (1999)
Y. Togawa, R. Abiru, K. Iwaya, H. Kitano, A. Maeda,Phys. Rev. Lett. 85, 3716 (2000)
C.J. Olson, C. Reichhardt, F. Nori, Phys. Rev. Lett. 81, 3757 (1998)
A.B. Kolton, D. Domínguez, N. Gr onbech-Jensen, Phys. Rev. B 65, 184508 (2002)
H. Fangohr, S.J. Cox, P.A.J. de Groot, Phys. Rev. B 64, 064505 (2001)
T.J. Bullard, Ph.D. Thesis, Virginia Polytechnic Institute and State University, (2005)
J. Das, T.J. Bullard, U.C. Täuber, Physica A 318, 48 (2003)
A. Rosso, W. Krauth, Phys. Rev. B 65, 012202 (2001)
P. Sen, N. Trivedi, D.M. Ceperley, Phys. Rev. Lett. 86, 4092 (2001)
We observe that with a severe cut-off the system becomes locked into a particular spatial configuration, as each line is effectively caged within the deep potential energy minima formed by linear superposition of its neighbors’ step-function potentials
S. Katz, J.L. Lebowitz, H. Spohn, Phys. Rev. B 28, 1655 (1983)
C.J. Olson, C. Reichhardt, F. Nori, Phys. Rev. Lett. 80, 2197 (1998)
W.H. Kleiner, L.M. Roth, S.H. Autler, Phys. Rev. 133, A1226 (1964)
A. Schmid, W. Hauger, J. Low Temp. Phys. 11, 667 (1973)
Y. Ando, N. Motohira, K. Kitazawa, J.I. Takeya, S. Akita, Phys. Rev. Lett. 67, 2737 (1991)
L. Ammor, B. Pignon, A. Ruyter, Phys. Rev. B 69, 134508 (2004)
Q. Li, H.J. Wiesmann, M. Suenaga, L. Motowidlow, P. Haldar, Phys. Rev. B 50, 4256 (1994)
C.J. Olson, G.T. Zimányi, A.B. Kolton, N. Gr onbech-Jensen,Phys. Rev. Lett. 85, 5416 (2000)
A.B. Kolton, D. Domínguez, C.J. Olson, N. Gr onbech-Jensen,Phys. Rev. B 62, R14657 (2000)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bullard, T., Das, J., Daquila, G. et al. Vortex washboard voltage noise in type-II superconductors. Eur. Phys. J. B 65, 469 (2008). https://doi.org/10.1140/epjb/e2008-00358-7
Received:
Revised:
Published:
DOI: https://doi.org/10.1140/epjb/e2008-00358-7