Ginzburg-Landau-Gorkov theory for high-temperature superconductors

1989 ◽  
Vol 40 (10) ◽  
pp. 6878-6883 ◽  
Author(s):  
L. Tewordt ◽  
S. Wermbter ◽  
Th. Wölkhausen
Keyword(s):  
High Temperature ◽  
High Temperature Superconductors ◽  
Ginzburg Landau

FRACTIONAL DEGREE VORTICES FOR A SPINOR GINZBURG–LANDAU MODEL

2006 ◽  
Vol 08 (03) ◽  
pp. 355-380 ◽  
Author(s):  
STAN ALAMA ◽  
LIA BRONSARD
Keyword(s):  
High Temperature ◽  
Unit Disk ◽  
High Temperature Superconductors ◽  
Dirichlet Problems ◽  
Complex Vector ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Physics Literature ◽  
Bose Einstein ◽  
Vector Valued

Recent papers in the physics literature have introduced spin-coupled (or spinor) Ginzburg–Landau models for complex vector-valued order parameters in order to account for ferromagnetic or antiferromagnetic effects in high-temperature superconductors and in optically confined Bose–Einstein condensates. In this paper, we show that such models give rise to new types of vortices, with fractional degree and nontrivial core structure. We illustrate the various possibilites with some specific examples of Dirichlet problems in the unit disk.

Vortex Lattice Structure of High Temperature Superconductors

2003 ◽  
Vol 17 (18n20) ◽  
pp. 3415-3422
Author(s):  
Shi-Ping Zhou ◽  
Hao-Chen Du ◽  
Hong-Yin Liao
Keyword(s):  
High Temperature ◽  
Transition Temperature ◽  
Critical Field ◽  
Vortex Lattice ◽  
Lattice Structure ◽  
High Temperature Superconductors ◽  
Upper Critical Field ◽  
Ginzburg Landau ◽  
Landau Model ◽  
Upward Curvature

We study vortex lattice structure of high temperature superconductors by using the Ginzburg–Landau model. The structure of the vortex lattice is oblique at the temperatures well below the transition temperature Tc, where the mixed s–d state is expected to have the lowest energy. Whereas, very close to Tc, the dx2-y2 wave is slightly lower in energy, and a triangular vortex lattice recovers. The coexistence and the coupling between the s- and d-waves account for the upward curvature of the upper critical field curve HC2(T).

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