Abstract
Using a new Hamiltonian of interaction [Int. J. Mod. Phys. B16, 4809 (1002); B17, 4763 (2003)], we calculate the vortex–vortex interaction energy in anisotropic superconductors. We present here the analytical formulae. The interaction energy has a minimum at a certain vortex–vortex distance. This distance decreases with the increase of the angle θ between the vortex line and the crystalline axis. Also, we calculate the elastic force and the nonharmonicity coefficients of the vortex lattice. Both coefficients decrease with increasing angle. Generally, the interaction energy decreases with the angle increase. Finally, we present the self-energy of a vortex in a lattice, the energy of a single isolated vortex and the lower critical field. Also, the surface of the vortex in the lattice has a form of a rosette with six petals, which are all equals for θ = 0 and become nonequals for θ ≠ 0. The surface of the first isolated vortex has a form of an oval for θ ≠ 0, and becomes a circle for θ = 0.
Similar content being viewed by others
References
1 A. Dolocan and V. Dolocan, Int. J. Mod. Phys. B 16, 4809 (1002); 17, 4763 (2003).
2 A. A. Abrikosov, Soviet Phys. JETP 5, 1174 (1957).
3 L. J. Campbell, M. M. Doria, and V. G. Kogan, Phys. Rev. B 38, 2439 (1988).
4 A. M. Grishin, A. Yu. Marthinowich, and S. V. Yampolskii, Sov. Phys. JETP 70, 1089 (1990).
5 A. I. Buzdin and A. Yu. Simonov, Physica C 168, 431 (1990).
6 V. G. Kogan, N. Nakagawa, and S. L. Tiemann, Phys. Rev. B 42, 2631 (1990).
7 G. Preosti and P. Muzikar, Phys. Rev. B 47, 583 (1993).
8 W. Barford and M. Harrison, Phys. Rev. B 50, 13748 (1994).
9 V. O. Dolocan, A. Dolocan, and V. Dolocan, Int. J. Mod. Phys. B 19, 2183 (2005).
10 V. Dolocan, Z. Phys. 101B, 583 (1996); Phys. Rev. B 57, 3594 (1998).
11 A. Dolocan and V. Dolocan, Int. J. Mod. Phys. B 18, 185 (2004).
12 A. Dolocan, V. O. Dolocan, and V. Dolocan, Int. J. Mod. Phys. B 18, 1353 (2004).
13 A. Dolocan, V. O. Dolocan, and V. Dolocan, Mod. Phys. Lett. B 18, 1301 (2004).
14 A. Sudbo and E. H. Brandt, Phys. Rev. B 43, 10482 (1991).
15 G. Blatter, M. V. Feigel’man, V. B. Geshkenbein, A. I. Larkin, and M. V. Vinokur, Rev. Mod. Phys. 66, 1125 (1994).
16 C. Caroli, P. G. de Gennes, and J. Matricon, Phys. Lett. 9, 307 (1964).
17 H. Suhl, Phys. Rev. Lett. 14, 226 (1965).
18 M. Yu. Kupriyanov and K. K. Lykharev, Sov. Phys. JETP 41, 755 (1975).
19 D. B. Tanner, et al., Physica B 244, 1 (1998).
Author information
Authors and Affiliations
Corresponding author
Additional information
PACS numbers: PACS 74.25.Qt.
Rights and permissions
About this article
Cite this article
Dolocan, V.O., Dolocan, A. & Dolocan, V. A Quantum Mechanical Treatment of the Vortex–Vortex Interaction in Anisotropic Superconductors. J Supercond 20, 215–224 (2007). https://doi.org/10.1007/s10948-006-0142-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10948-006-0142-2