[en] Based on the time-dependent Ginzburg-Landau equations, we study numerically current-driven vortices in a micrometer size square type-II superconductor. We demonstrate that the applied current significantly influences the dynamics of the vortices entering the sample. Strikingly, we find that a giant vortex can be created by the current-assisted collision of two singly quantized vortices.
A. I. Buzdin and J. P. Brison, Phys. Lett. A 196, 267 (1994).
J. J. Palacios, Phys. Rev. B 58, R5948 (1998). 10.1103/PhysRevB.58.R5948
A. K. Geim, I. V. Grigorieva, S. V. Dubonos, J. G. S. Lok, J. C. Maan, A. E. Filippov, and F. M. Peeters, Nature (London) 390, 259 (1997). 10.1038/36797
B. J. Baelus, L. R. E. Cabral, and F. M. Peeters, Phys. Rev. B 69, 064506 (2004). 10.1103/PhysRevB.69.064506
H. J. Zhao, V. R. Misko, F. M. Peeters, V. Oboznov, S. V. Dubonos, and I. V. Grigorieva, Phys. Rev. B 78, 104517 (2008) 10.1103/PhysRevB.78.104517
V. R. Misko, B. Xu, and F. M. Peeters, Phys. Rev. B 76, 024516 (2007) 10.1103/PhysRevB.76.024516
V. R. Misko and F. M. Peeters, Phys. Rev. B 74, 174507 (2006). 10.1103/PhysRevB.74.174507
L. F. Chibotaru, A. Ceulemans, V. Bruyndoncx, and V. V. Moshchalkov, Nature (London) 408, 833 (2000) 10.1038/35048521
L. F. Chibotaru, A. Ceulemans, V. Bruyndoncx, and V. V. Moshchalkov, Phys. Rev. Lett. 86, 1323 (2001) 10.1103/PhysRevLett.86.1323
V. R. Misko, V. M. Fomin, J. T. Devreese, and V. V. Moshchalkov, Phys. Rev. Lett. 90, 147003 (2003). 10.1103/PhysRevLett.90.147003
B. J. Baelus, A. Kanda, N. Shimizu, K. Tadano, Y. Ootuka, K. Kadowaki, and F. M. Peeters, Phys. Rev. B 73, 024514 (2006) 10.1103/PhysRevB.73.024514
B. J. Baelus, A. Kanda, F. M. Peeters, Y. Ootuka, and K. Kadowaki, Phys. Rev. B 71, 140502 (R) (2005) 10.1103/PhysRevB.71.140502
A. K. Geim, S. V. Dubonos, J. J. Palacios, I. V. Grigorieva, M. Henini, and J. J. Schermer, Phys. Rev. Lett. 85, 1528 (2000) 10.1103/PhysRevLett.85.1528
P. S. Deo, V. A. Schweigert, F. M. Peeters, and A. K. Geim, Phys. Rev. Lett. 79, 4653 (1997). 10.1103/PhysRevLett.79.4653
A. Kanda, B. J. Baelus, F. M. Peeters, K. Kadowaki, and Y. Ootuka, Phys. Rev. Lett. 93, 257002 (2004). 10.1103/PhysRevLett.93.257002
B. J. Baelus and F. M. Peeters, Phys. Rev. B 65, 104515 (2002). 10.1103/PhysRevB.65.104515
V. A. Schweigert, F. M. Peeters, and P. S. Deo, Phys. Rev. Lett. 81, 2783 (1998). 10.1103/PhysRevLett.81.2783
E. Sardella, A. L. Malvezzi, P. N. Lisboa-Filho, and W. A. Ortiz, Phys. Rev. B 74, 014512 (2006). 10.1103/PhysRevB.74.014512
V. Bruyndoncx, J. G. Rodrigo, T. Puig, L. Van Look, V. V. Moshchalkov, and R. Jonckheere, Phys. Rev. B 60, 4285 (1999). 10.1103/PhysRevB.60.4285
I. V. Grigorieva, W. Escoffier, V. R. Misko, B. J. Baelus, F. M. Peeters, L. Y. Vinnikov, and S. V. Dubonos, Phys. Rev. Lett. 99, 147003 (2007). 10.1103/PhysRevLett.99.147003
T. Nishio, S. Okayasu, J. Suzuki, and K. Kadowaki, Physica C 379, 412 (2004).
S. Okayasu, T. Nishio, Y. Hata, J. Suzuki, I. Kakeya, K. Kadowaki, and V. V. Moshchalkov, IEEE Trans. Appl. Supercond. 15, 696 (2005). 10.1109/TASC.2005.850006
N. Schildermans, A. Yu. Aladyshkin, A. V. Silhanek, J. Van de Vondel, and V. V. Moshchalkov, Phys. Rev. B 77, 214519 (2008). 10.1103/PhysRevB.77.214519
M. Morelle, V. Bruyndoncx, R. Jonckheere, and V. V. Moshchalkov, Phys. Rev. B 64, 064516 (2001). 10.1103/PhysRevB.64.064516
C. R. Hu and R. S. Thompson, Phys. Rev. B 6, 110 (1972). 10.1103/PhysRevB.6.110
T. Winiecki and C. S. Adams, J. Comput. Phys. 179, 127 (2002). 10.1006/jcph.2002.7047
M. Machida and H. Kaburaki, Phys. Rev. Lett. 71, 3206 (1993). 10.1103/PhysRevLett.71.3206
D. Y. Vodolazov and F. M. Peeters, Phys. Rev. B 76, 014521 (2007). 10.1103/PhysRevB.76.014521
R. Kato, Y. Enomoto, and S. Maekawa, Phys. Rev. B 44, 6916 (1991) 10.1103/PhysRevB.44.6916
R. Kato, Y. Enomoto, and S. Maekawa, Phys. Rev. B 47, 8016 (1993). 10.1103/PhysRevB.47.8016
Q. Du, M. D. Gunzburger, and J. S. Peterson, SIAM Rev. 34, 54 (1992) 10.1137/1034003
Q. Du, Contemp. Math. 329, 105 (2003).
W. D. Gropp, H. G. Kaper, G. L. Leaf, D. M. Levine, M. Palumbo, and V. M. Vinokur, J. Comput. Phys. 123, 254 (1996). 10.1006/jcph.1996.0022
P. G. de Gennes, Superconductivity of Metals and Alloys (Adison-Wesley, New York, 1989).
A. D. Hernández and D. Domínguez, Phys. Rev. B 65, 144529 (2002). 10.1103/PhysRevB.65.144529
E. A. Andryushin, V. L. Ginzburg, and A. P. Silin, Usp. Fiz. Nauk 163, 105 (1993).
M. Tinkham, Introduction to Superconductivity (Dover, New York, 2004).
S. Kim, C.-R. Hu, and M. J. Andrews, Phys. Rev. B 69, 094521 (2004). 10.1103/PhysRevB.69.094521
M. Morelle, J. Bekaert, and V. V. Moshchalkov, Phys. Rev. B 70, 094503 (2004). 10.1103/PhysRevB.70.094503
D. S. Golubović, M. V. Milosević, F. M. Peeters, and V. V. Moshchalkov, Phys. Rev. B 71 180502 (R) (2005). 10.1103/PhysRevB.71.180502
B. Y. Zhu, F. Marchesoni, V. V. Moshchalkov, and F. Nori, Phys. Rev. B 68, 014514 (2003) 10.1103/PhysRevB.68.014514
B. Y. Zhu, F. Marchesoni, and F. Nori, Phys. Rev. Lett. 92, 180602 (2004). 10.1103/PhysRevLett.92.180602