斜方四层石墨烯的谷内自旋极化超导性

Yang-Zhi Chou, Jihang Zhu, Sankar Das Sarma
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摘要

我们研究了斜方四面体层石墨烯中的谷内自旋极化超导现象,该现象是在 Han $et$ $al$arXiv:2408.15233 实验中发现的。尽管没有费米面嵌套,但我们发现超导现象出现在范霍夫奇点附近,其最大值 $T_c$ 接近态密度峰值的分叉点。我们发现拓扑的 $p+ip$、拓扑的 $h+ih$和非拓扑的节点 $f$ 波对是可能的状态,由于谷内性质,它们都是对密度波阶。此外,这些对密度波阶需要一个无限吸引力阈值才能实现超导,从而导致超导区域变窄,这与实验结果一致。我们讨论了可能的配对机制,并指出 Kohn-Luttinger 机制是对斜方四面体层石墨烯中的谷内自旋极化超导现象的一种合理解释。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Intravalley spin-polarized superconductivity in rhombohedral tetralayer graphene
We study the intravalley spin-polarized superconductivity in rhombohedral tetralayer graphene, which has been discovered experimentally in Han $et$ $al$ arXiv:2408.15233. We construct a minimal model for the intravalley spin-polarized superconductivity, assuming a simplified anisotropic interaction that depends only on the angle between the incoming and outgoing momenta. Despite the absence of Fermi surface nesting, we show that the superconductivity appears near the Van Hove singularity with the maximal $T_c$ near a bifurcation point of the peaks in the density of states. We identify the topological $p+ip$, topological $h+ih$, and the non-topological nodal $f$-wave pairings as the possible states, which are all pair density wave orders due to the intravalley nature. Furthermore, these pair density wave orders require a finite attractive threshold for superconductivity, resulting in narrow superconducting regions, consistent with experimental findings. We discuss the possible pairing mechanisms and point out that the Kohn-Luttinger mechanism is a plausible explanation for the intravalley spin-polarized superconductivity in the rhombohedral tetralayer graphene.
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