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arXiv · 1305.2607

Zero-range potential model for the study of the ground states near the vortex core in the quantum limit

V. L. Kulinskii·D. Yu. Panchenko
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Abstract

We propose the treatment of the lowest bound states near the vortex core on the basis of the self-adjoint extension of the Hamiltonian with the localized magnetic flux of Aaronov-Bohm type. It is shown that in the limit {\varkappa} >> 1 the potential for the vortex core excitations can be treated in terms of the generalized zero-range potential method. The spectrum of the Caroli-de Gennes-Matricon states is obtained and the comparison with the numerical calculations of Hayashi, N. et al. [Phys. Rev. Lett. 80, p. 2921 (1998)] is performed. The analytical expression for the ground state energy depending on the boundary condition parameter b was obtained by us.

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V. L. Kulinskii, D. Yu. Panchenko. 2013-05-12. Zero-range potential model for the study of the ground states near the vortex core in the quantum limit. https://arxiv.org/abs/1305.2607

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