標題: Ginzburg-Landau theory of type II superconductors in magnetic field
作者: Rosenstein, Baruch
Li, Dingping
電子物理學系
Department of Electrophysics
公開日期: 1-一月-2010
摘要: Thermodynamics of type II superconductors in electromagnetic field based on the Ginzburg-Landau theory is presented. The Abrikosov flux lattice solution is derived using an expansion in a parameter characterizing the "distance" to the superconductor-normal phase transition line. The expansion allows a systematic improvement of the solution. The phase diagram of the vortex matter in magnetic field is determined in detail. In the presence of significant thermal fluctuations on the mesoscopic scale (for example, in high T(c) materials) the vortex crystal melts into a vortex liquid. A quantitative theory of thermal fluctuations using the lowest Landau level approximation is given. It allows one to determine the melting line and discontinuities at melt, as well as important characteristics of the vortex liquid state. In the presence of quenched disorder (pinning) the vortex matter acquires certain "glassy" properties. The irreversibility line and static properties of the vortex glass state are studied using the "replica" method. Most of the analytical methods are introduced and presented in some detail. Various quantitative and qualitative features are compared to experiments in type II superconductors, although the use of a rather universal Ginzburg-Landau theory is not restricted to superconductivity and can be applied with certain adjustments to other physical systems, for example, rotating Bose-Einstein condensate.
URI: http://dx.doi.org/10.1103/RevModPhys.82.109
http://hdl.handle.net/11536/5995
ISSN: 0034-6861
DOI: 10.1103/RevModPhys.82.109
期刊: REVIEWS OF MODERN PHYSICS
Volume: 82
Issue: 1
起始頁: 109
結束頁: 168
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