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arXiv 2201.07731cond-mat.supr-con
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双曲等离子体激元与超导性的相互作用

Interplay of hyperbolic plasmons and superconductivity

Andrey Grankin, Victor Galitski

摘要:

双曲等离子体激元是层状导体中的集体电子激发。它们与许多超导材料有关,包括铜氧化物和层状双曲超材料[V.N. Sjuaninova等人,Scientific Reports 6,34140(2016)]。这项工作研究如何不寻常的双曲型等离子体的色散影响库珀配对。我们使用的Migdal-Eliashberg方程,这是解决了数值和分析使用Grabowski-Sham近似,与一致的结果。我们没有发现在合理的参数范围内等离子体介导的配对的证据。然而,它表明,双曲型等离子体激元可以显着降低库仑排斥的影响,导致增强的转变温度的库珀通道起源于其他配对机制。在由相同层组成的双曲材料模型中,我们发现这种增强在$d$波通道中是最强的。我们还讨论了工程的最佳双曲等离激元背景的进一步增强超导性的$s$波和$d$波通道的战略。

英文摘要:

Hyperbolic plasmons are collective electron excitations in layered conductors. They are of relevance to a number of superconducting materials, including the cuprates and layered hyperbolic metamaterials [V. N. Smolyaninova, et al. Scientific Reports 6, 34140 (2016)]. This work studies how the unusual dispersion of hyperbolic plasmons affects Cooped pairing. We use the Migdal-Eliashberg equations, which are solved both numerically and analytically using the Grabowski-Sham approximation, with consistent results. We do not find evidence for plasmon-mediated pairing within a reasonable parameter range. However, it is shown that the hyperbolic plasmons can significantly reduce the effects of Coulomb repulsion in the Cooper channel leading to an enhancement of the transition temperature originating from other pairing mechanisms. In the model of a hyperbolic material composed of identical layers, we find this enhancement to be the strongest in the $d$-wave channel. We also discuss strategies for engineering an optimal hyperbolic plasmon background for a further enhancement of superconductivity in both $s$-wave and $d$-wave channels.

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