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各向异性超导体的Ginzburg-Landau理论
引用本文:徐龙道,束正煌,王思慧.各向异性超导体的Ginzburg-Landau理论[J].物理学进展,2002,22(4):416-449.
作者姓名:徐龙道  束正煌  王思慧
作者单位:1. 南京大学物理系,南京,210093
2. 江苏广播电视大学,南京,210013
摘    要:本文内容主要有二个方面:1)由各各同性均匀系的BCS理论扩展到各向异性非均匀系,并给出各种异性非均匀系的完整的GL方程式,定出了各个宏微观参量间的关系式。2)结合层状结构氧化物超导体的导电层在导电层相间的特征等,用有效调制势模型和电子有效质量近似,交各向同性均匀系的BCS理论较具体的扩展到各向异性非均匀系并进行深化研究,扩展理论所给出的临界温度和能隙方程公式,主要的热力学性质和电磁性质公式等应用到YBaCuO超导体上,理论结果与实验结果均相符,并也给出各向异性非均匀系的完整的GL方程式,与上面1所给出的形式相同,也定出了各个宏微观参量间的关系,应用到YBaCuO超导体的一些主要性质上也与实验结果相符。

关 键 词:各向异性超导体  Ginzburg-Landau理论  各向异性非均匀系  GL方程  有效调制势模型  有效质量近似  BCS理论  超导电性
文章编号:1000-0542(2002)04-0416-34
修稿时间:2002年9月6日

THE GINZBURG-LANDAU THEORY OF ANISOTROPIC SUPERCONDUCTORS
XU Long dao ,SHU Zheng huang ,WANG Si hui.THE GINZBURG-LANDAU THEORY OF ANISOTROPIC SUPERCONDUCTORS[J].Progress In Physics,2002,22(4):416-449.
Authors:XU Long dao  SHU Zheng huang  WANG Si hui
Institution:XU Long dao 1,SHU Zheng huang 2,WANG Si hui 1
Abstract:This article is divided into two parts. 1. By extending the BCS theory for isotropic homogeneous systems to the case for the anisotropic inhomogeneous systems, the complete Ginzburg_Landau equations for the anisotropic inhomogeneous systems are derived, and the relations between macroscopic and microscopic quantities are also given. 2. In the framework of an effective modulation potential model based on the structure feature of layered superconductors with conduction layers alternating with nonconduction layers and using the effective mass approximation, we extend the BCS theory for isotropic homogeneous systems to the case for the anisotropic inhomogeneous and then obtain some physical formulas for, critical temperature and energy gap, which are in good agreement with the experimental results for, YBa 2Cu 3O 7-x superconductors. At the same time, the complete Ginzburg Landau equations for the anisotropic inhomogeneous systems are also found, having the same form as those in the first part. The corresponding relations between the macroscopic and microscopic parameters are also in good agreement with the experimental results for YBa 2Cu 3O 7-x
Keywords:GL equations for the anisotropic inhomogeneous systems  modulation potential model  effective mass approximation  extended BCS theory
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