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Author |
Goncalves, W.C.; Sardella, E.; Becerra, V.F.; Milošević, M.V.; Peeters, F.M. |
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Title |
Numerical solution of the time dependent Ginzburg-Landau equations for mixed (d plus s)-wave superconductors |
Type |
A1 Journal article |
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Year  |
2014 |
Publication |
Journal of mathematical physics |
Abbreviated Journal |
J Math Phys |
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Volume |
55 |
Issue |
4 |
Pages |
041501 |
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Keywords |
A1 Journal article; Condensed Matter Theory (CMT) |
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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. |
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Place of Publication |
New York, N.Y. |
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Wos |
000336084100001 |
Publication Date |
2014-04-16 |
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Edition |
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ISSN |
0022-2488;1089-7658; |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
1.077 |
Times cited |
6 |
Open Access |
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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 |
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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. |
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Title |
Analytic treatment of vortex states in cylindrical superconductors in applied axial magnetic field |
Type |
A1 Journal article |
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Year |
2010 |
Publication |
Journal of mathematical physics |
Abbreviated Journal |
J Math Phys |
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Volume |
51 |
Issue |
8 |
Pages |
082903,1-082903,29 |
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Keywords |
A1 Journal article; Condensed Matter Theory (CMT) |
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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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Place of Publication |
New York, N.Y. |
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Wos |
000281905000026 |
Publication Date |
2010-08-23 |
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ISSN |
0022-2488; |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
1.077 |
Times cited |
10 |
Open Access |
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Notes |
; ; |
Approved |
Most recent IF: 1.077; 2010 IF: 1.291 |
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Call Number |
UA @ lucian @ c:irua:84880 |
Serial |
106 |
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Author |
Berdiyorov, G.R.; Cabral, L.R.E.; Peeters, F.M. |
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Title |
Surface barrier for flux entry and exit in mesoscopic superconducting systems |
Type |
A1 Journal article |
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Year |
2005 |
Publication |
Journal of mathematical physics |
Abbreviated Journal |
J Math Phys |
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Volume |
46 |
Issue |
9 |
Pages |
095105 |
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Keywords |
A1 Journal article; Condensed Matter Theory (CMT) |
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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. |
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Place of Publication |
New York, N.Y. |
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Wos |
000232206700005 |
Publication Date |
2005-09-28 |
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Abbreviated Series Title |
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Series Volume |
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Series Issue |
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Edition |
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ISSN |
0022-2488; |
ISBN |
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Additional Links |
UA library record; WoS full record; WoS citing articles |
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Impact Factor |
1.077 |
Times cited |
18 |
Open Access |
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Notes |
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Approved |
Most recent IF: 1.077; 2005 IF: 1.192 |
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Call Number |
UA @ lucian @ c:irua:103142 |
Serial |
3393 |
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