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Author Goncalves, W.C.; Sardella, E.; Becerra, V.F.; Milošević, M.V.; Peeters, F.M.
Title Numerical solution of the time dependent Ginzburg-Landau equations for mixed (d plus s)-wave superconductors Type A1 Journal article
Year (down) 2014 Publication Journal of mathematical physics Abbreviated Journal J Math Phys
Volume 55 Issue 4 Pages 041501
Keywords A1 Journal article; Condensed Matter Theory (CMT)
Abstract The time-dependent Ginzburg-Landau formalism for (d + s)-wave superconductors and their representation using auxiliary fields is investigated. By using the link variable method, we then develop suitable discretization of these equations. Numerical simulations are carried out for a mesoscopic superconductor in a homogeneous perpendicular magnetic field which revealed peculiar vortex states. (C) 2014 AIP Publishing LLC.
Address
Corporate Author Thesis
Publisher Place of Publication New York, N.Y. Editor
Language Wos 000336084100001 Publication Date 2014-04-16
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0022-2488;1089-7658; ISBN Additional Links UA library record; WoS full record; WoS citing articles
Impact Factor 1.077 Times cited 6 Open Access
Notes ; We thank the Brazilian Agency FAPESP and Flemish Science Foundation (FSF) (FWO-Vlaanderen) for financial support. M. V. M. acknowledges support from the CAPES-PVE program. ; Approved Most recent IF: 1.077; 2014 IF: 1.243
Call Number UA @ lucian @ c:irua:117728 Serial 2407
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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 (down) 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.
Address
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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Author Berdiyorov, G.R.; Cabral, L.R.E.; Peeters, F.M.
Title Surface barrier for flux entry and exit in mesoscopic superconducting systems Type A1 Journal article
Year (down) 2005 Publication Journal of mathematical physics Abbreviated Journal J Math Phys
Volume 46 Issue 9 Pages 095105
Keywords A1 Journal article; Condensed Matter Theory (CMT)
Abstract The energy barrier which has to be overcome for a single vortex to enter or exit the sample is studied for thin superconducting disks, rings, and squares using the nonlinear Ginzburg-Landau theory. The shape and the height of the nucleation barrier is investigated for different sample radii and thicknesses and for different values of the Ginzburg-Landau parameter kappa. It is shown that the London theory considerably overestimates (underestimates) the energy barrier for vortex expulsion (penetration). (c) 2005 American Institute of Physics.
Address
Corporate Author Thesis
Publisher Place of Publication New York, N.Y. Editor
Language Wos 000232206700005 Publication Date 2005-09-28
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 18 Open Access
Notes Approved Most recent IF: 1.077; 2005 IF: 1.192
Call Number UA @ lucian @ c:irua:103142 Serial 3393
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