A Generalization of Abrikosov's solution of the Ginzburg-Landau equations

✍ Scribed by V. G. Kogan

• Publisher: Springer US
• Year: 1975
• Tongue: English
• Weight: 393 KB
• Volume: 20
• Category: Article
• ISSN: 0022-2291
• DOI: 10.1007/bf00115258

✦ Synopsis

The Ginzburg-Landau (GL) equations for type II superconductors near the upper critical field He2 permit a more general solution than Abrikosov's. 1 It turns out that already in the first approximation it is possible to build the solution for H < He2. All of the basic Abrikosov results also remain correct for these expressions (Section 2). The new solutions describe the system of vortices that can form a nonperiodic structure and may contain an arbitrary number of magnetic flux quanta (Section 3). The Abrikosov structure is the particular case of the general solution (Section 3, Appendix C) in which the centers of the identical vortices form the periodic structure. The GL energy as a function of the center positions has a minimum for a periodic structure (Section 6). The validity region of these solutions is estimated. It may be wider than the similar regions for the Abrikosov case (Section 4). The simple approximate expressions for the vortex structure are obtained, and the algorithm for the higher approximations is indicated (Section 4).