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Ginzburg—Landau Expansion and the Upper Critical Field in Disordered Attractive Hubbard Model (Mini-review)
JETP Letters ( IF 1.3 ) Pub Date : 2020-10-28 , DOI: 10.1134/s002136402021002x
N. A. Kuleeva , E. Z. Kuchinskii , M. V. Sadovskii

We present a short review of our studies of disorder influence upon Ginzburg-Landau expansion coefficients in Anderson-Hubbard model with attraction in the framework of the generalized DMFT + ∑ approximation. A wide range of attractive potentials {tiU} is considered - from weak coupling limit, where superconductivity is described by BCS model, to the limit of very strong coupling, where superconducting transition is related to Bose-Einstein condensation (BEC) of compact Cooper pairs, which are formed at temperatures significantly higher than the temperature of superconducting transition, as well as the wide range of disorders - from weak to strong, when the system is in the vicinity of Anderson transition. For the same range of parameters we study in detail the temperature behavior of orbital and paramagnetic upper critical field {tiHC}2 (T), which demonstrates the anomalies both due to the growth of attractive potential and the effects of strong disordering.



中文翻译:

金茨堡—朗道扩展和无序有吸引力哈伯德模型中的上临界场(小型回顾)

我们简要介绍了我们对无序效应对Anderson-Hubbard模型中的Ginzburg-Landau膨胀系数的影响的研究,并在广义DMFT + ∑近似框架内具有吸引力。广泛的诱人潜力{ti U}-从弱耦合极限(用BCS模型描述超导性)到非常强耦合的极限(在超导转变与紧密库珀对的玻色-爱因斯坦凝聚(BEC)有关,后者在更高的温度下形成)当系统处于安德森跃迁附近时,超导跃迁的温度以及范围广泛的无序-从弱到强。对于相同范围的参数,我们详细研究了轨道和顺磁上临界场{ti H C} 2(T)的温度行为,这表明了异常现象的产生既有吸引力的增长,又有强烈无序的影响。

更新日期:2020-10-30
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