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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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	Corporate Author				Thesis
	Publisher		Place of Publication	New York, N.Y.	Editor
	Language		Wos	000281905000026	Publication Date	2010-08-23
	Series Editor		Series Title		Abbreviated Series Title
	Series Volume		Series Issue		Edition
	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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