We consider the special features at nano- and microscales of the vortex dynamics on superconducting cylindrical Nb tubes produced by the roll-up (self-rolling) technique. A transport current enters the tube through electrodes placed on both sides of a cut (in the paraxial direction) of the tube. The system is in the magnetic field perpendicular to the tube axis. The vortex dynamics is described by means of characteristic times: time (Δt1) needed for a vortex to move from one edge of the tube to another and time (Δt2) between two consecutive vortex nucleation events at one edge of the tube. A range of magnetic field values is analyzed where Δt1 as a function of the magnetic field has a highly nonlinear and non-monotonic behavior. For certain values of the magnetic field, two different trajectories are possible for a moving vortex, i.e., a bifurcation phenomenon occurs. We explain the reason of this bifurcation.
Similar content being viewed by others
References
Y. Nakamura, Yu. A. Pashkin, and J. S. Tsai, Nature, 398, 786–788 (1999).
J. Clarke and F. K. Wilhelm, Nature, 453, 1031–1042 (2008).
L. DiCarlo, J. M. Chow, J. M. Gambetta, et al., Nature, 460, 240–244 (2009).
C. H. Bennett and D. P. Di Vincenzo, Nature, 404, 247–255 (2000).
K. G. Fedorov, A. V. Shcherbakova, M. J. Wolf, et al., Phys. Rev. Lett., 112, 160502 (2014).
V. M. Fomin and R. Wördenweber, Proc. SPIE, 7364, 73640Р (2009).
V. M. Fomin, R. O. Rezaev, and O. G. Schmidt, Nano Lett., 12, 1282–1287 (2012).
R. O. Rezaev, V. M. Fomin, and O. G. Schmidt, Physica, C497, 1–5 (2014).
P. J. W. Moll, L. Balicas, V. Geshkenbein, et al., Nature Mater., 12, 134–138 (2013).
D. J. Thurmer, C. Deneke, and O. G. Schmidt, J. Phys., D41, 205419 (2008).
D. J. Thurmer, C. C. Bof Bufon, C. Deneke, and O. G. Schmidt, Nano Lett., 10, 3704−3709 (2010).
E. A. Levchenko, A. V. Shapovalov, and A. Yu. Trifonov, J. Phys., A47, 025209 (2014).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 5, pp. 35–40, May, 2015.
Rights and permissions
About this article
Cite this article
Rezaev, R.O., Levchenko, E.A., Schmidt, O.G. et al. Dynamics of the Abrikosov Vortices on Cylindrical Microtubes. Russ Phys J 58, 623–628 (2015). https://doi.org/10.1007/s11182-015-0542-5
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11182-015-0542-5