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arXiv 2109.07520cond-mat.supr-concond-mat.mes-hall
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平带半金属中的预制库珀对

Preformed Cooper pairs in flat-band semimetals

Alexander A. Zyuzin, A. Yu. Zyuzin

摘要:

我们研究的条件下出现的预成型库珀对的材料托管平带。作为一个特殊的例子,我们考虑一个半金属,与一对三带交叉点处的一个平带与狄拉克锥相交,并专注于s波谷间配对通道。在电子之间的强吸引力下,平带的几乎无色散的性质促进了局部库珀对的形成,使得系统可以被建模为超导晶粒的阵列。由于色散带的存在,晶粒间的Andreev散射导致了低温下的全局相相干超导。我们发展了一个平均场论,计算了在不同相互作用强度下,预形成的库珀对态和相干态之间的转变温度。半金属相和预形成的库珀对相之间的转变温度与相互作用常数成正比,转变到相相干态的温度对相互作用常数的依赖性较弱。

英文摘要:

We study conditions for the emergence of the preformed Cooper pairs in materials hosting flat bands. As a particular example, we consider a semimetal, with a pair of three-band crossing points at which a flat band intersects with a Dirac cone, and focus on the s-wave intervalley pairing channel. The nearly dispersionless nature of the flat band at strong attraction between electrons promotes local Cooper pair formation so that the system may be modeled as an array of superconducting grains. Due to dispersive bands, Andreev scattering between the grains gives rise to the global phase-coherent superconductivity at low temperatures. We develop a mean-field theory to calculate transition temperature between the preformed Cooper pair state and the phase-coherent state for different interaction strengths in the Cooper channel. The transition temperature between semimetal and preformed Cooper pair phases is proportional to the interaction constant, the dependence of the transition temperature to the phase-coherent state on the interaction constant is weaker.

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