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| Author | Ludu, A.; Van Deun, J.; Milošević, M.V.; Cuyt, A.; Peeters, F.M. | ||||
| Title | Analytic treatment of vortex states in cylindrical superconductors in applied axial magnetic field | Type | A1 Journal article | ||
Year  |
2010 | Publication | Journal of mathematical physics | Abbreviated Journal | J Math Phys |
| Volume | 51 | Issue | 8 | Pages | 082903,1-082903,29 |
| Keywords | A1 Journal article; Condensed Matter Theory (CMT) | ||||
| Abstract | We solve the linear GinzburgLandau (GL) equation in the presence of a uniform magnetic field with cylindrical symmetry and we find analytic expressions for the eigenfunctions in terms of the confluent hypergeometric functions. The discrete spectrum results from an implicit equation associated to the boundary conditions and it is resolved in analytic form using the continued fractions formalism. We study the dependence of the spectrum and the eigenfunctions on the sample size and the surface conditions for solid and hollow cylindrical superconductors. Finally, the solutions of the nonlinear GL formalism are constructed as expansions in the linear GL eigenfunction basis and selected by minimization of the free energy. We present examples of vortex states and their energies for different samples in enhancing/suppressing superconductivity surroundings. | ||||
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| Publisher | Place of Publication | New York, N.Y. | Editor | ||
| Language | Wos | 000281905000026 | Publication Date | 2010-08-23 | |
| Series Editor | Series Title | Abbreviated Series Title | |||
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| ISSN | 0022-2488; | ISBN | Additional Links | UA library record; WoS full record; WoS citing articles | |
| Impact Factor | 1.077 | Times cited | 10 | Open Access | |
| Notes | ; ; | Approved | Most recent IF: 1.077; 2010 IF: 1.291 | ||
| Call Number | UA @ lucian @ c:irua:84880 | Serial | 106 | ||
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