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A Quantum Mechanical Treatment of the Vortex–Vortex Interaction in Anisotropic Superconductors

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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.

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Correspondence to Voicu Octavian Dolocan.

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PACS numbers: PACS 74.25.Qt.

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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

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