Abstract
The time-dependent Ginzburg-Landau equations have been solved numerically by a finite element analysis for the superconducting samples with a cubic shape in a uniform external magnetic field. We obtain the different vortex patterns as a function of the magnetic field perpendicular to its surface. The vortex tubes must reach the surface perpendicularly in order to avoid a supercurrent component pointing outwards the surface. At the same time, we observed the arrangement of spiral vortices in the cubic superconductor. These results show that our approach is an effective and useful to interpret experimental data on vortex states in the mesoscopic superconductors.
Similar content being viewed by others
References
Vodolazov, D.Y., Peeters, F.M., Dubonos, S.V., Geim, A.K.: Phys. Rev. B 67, 054506 (2003)
Grigorieva, I.V., Escoffier, W., Richrdson, J., Vinnikov, L.Y., Dubonos, S., Oboznov, V.: Phys. Rev. Lett. 96, 077005 (2006)
Berdiyorov, G.R., Milošević, M.V., Latimer, M.L., Xiao, Z.L., Kwok, W.K., Peeters, F.M.: Phys. Rev. Lett. 109, 057004 (2012)
Xu, B., Milošević, M.V., Peeters, F.M.: Phys. Rev. B 81, 064501 (2010)
Cren, T., Serrier-Garcia, L., Debontridder, F., Roditchev, D.: Phys. Rev. Lett. 107, 097202 (2011)
Kanda, A., Baelus, B.J., Peeters, F.M., Kadowaki, K., Ootuka, Y.: Phys. Rev. Lett. 93, 257002 (2004)
Milošević, M.V., Kanda, A., Hatsumi, S., Peeters, F.M., Ootuka, Y.: Phys. Rev. Lett. 103, 217003 (2009)
Winiecki, T., Adams, C.S.: J. Comp. Phys. 179, 127 (2002)
Jelić, Ž.L., Milošević, M.V., Van de Vondel, J., Silhanek, A.V.: Sci. Rep. 5, 14604 (2015). doi:10.1038/srep14604
Peng, L., Cai, C., Lin, J., Chen, J., Liu, Y., Zhou, Y.: J. Supercond. Nov. Magn. 29, 1197 (2016)
Baelus, B.J., Peeters, F.M.: Phys. Rev. B 65, 104515 (2002)
Peng, L., Cai, C., Low, J.: Temp. Phys. 183, 371 (2016)
Little, W.A., Parks, R.D.: Phys. Rev. Lett. 9, 9 (1962)
Carballeira, C., Moshchalkov, V.V., Chibotaru, L.F., Ceulemans, A.: Phys. Rev. Lett. 95, 237003 (2005)
Milošević, M.V., Peeters, F.M.: Phys. Rev. Lett. 94, 227001 (2005)
Liu, C.-Y., Berdiyorov, G.R., Milošević, M.V.: Phys. Rev. B 83, 104524 (2011)
Deutscher, G., de Gennes, P.G.: In: Parks, R.D. (ed.) Superconductivity, vol. 2, chap. 17. Marcel Dekker, New York (1969)
Alstrøm, T.S., Sørensen, M.P., Pedersen, N.F., Madsen, S.: Acta. Appl. Math. 115, 63 (2011)
Peng, L., Lin, J., Zhou, Y., Zhang, Y.: J. Supercond. Nov. Magn. 28, 3507 (2015)
Berdiyorov, G.R., Hernandez, A.D., Peeters, F.M.: Phys. Rev. Lett. 103, 267002 (2009)
Zadorosny, R., Sardella, E., Malvezzi, A.L., Lisboa-Filho, P.N., Ortiz, W.A.: Phys. Rev. B 85, 214511 (2012)
Blackburn, J.F., Campbell, A., Salje, E.K.H.: Philos. Mag. B 80, 1455 (2000)
Acknowledgments
This work is sponsored by the Science and Technology Commission of Shanghai Municipality (No. 14521102800), the National Natural Science Foundation of China (No. 51202141, 1140 4005), the Opening Project of Shanghai Key Laboratory of High Temperature Superconductors (No. 14DZ2260700), the Natural Science Foundation of Shanghai (No. 17ZR1411400), the Shanghai plateau project (Shanghai University of Electric Power), and the Innovation Program of Shanghai Municipal Education Commission (No. 14YZ132).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Peng, L., Cai, C. & Chen, C. Observation of the Curved and Entangled Vortex Tubes in 3D Mesoscopic Cubic Superconductors. J Supercond Nov Magn 30, 2059–2064 (2017). https://doi.org/10.1007/s10948-017-4034-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-017-4034-4