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arXiv 2403.01080cond-mat.supr-con
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超导二极管效应的几何贡献与常规贡献:在平带系统中的应用

Geometric and conventional contributions of superconducting diode effect: Application to flat-band systems

Jin-Xin Hu, Shuai A. Chen, K. T. Law

AI总结:

该研究针对自旋轨道耦合可忽略、费米能级附近有窄带的超导体,结合金兹堡-朗道理论与自洽平均场方法,揭示了超导二极管效应的常规能带色散起源与量子几何起源,指出平带极限下量子几何贡献占主导,为平带超导体研究提供了新视角。

摘要:

当时间反演对称性破缺时,非互易临界超电流会在非中心对称超导体中引发超导二极管效应(SDE)。本文研究了自旋轨道耦合可忽略、但费米能级附近存在窄带的超导体中的SDE——这一特性与转角双层石墨烯等莫尔异质结尤为相关。我们利用唯象金兹堡-朗道理论和自洽平均场方法,分析了常规能带色散和量子几何对SDE的贡献。常规SDE源于非对称费米面,而我们证明量子度量偶极子会对SDE产生能带量子几何贡献,即使在单粒子色散对称的系统中也是如此。值得注意的是,在平带极限下(即吸引相互作用强度显著超过带宽时),量子几何对超电流和二极管效应的贡献会占据主导地位。本文阐明了超导非互易性的常规起源和量子几何起源,并探讨了其对平带超导体的意义。

英文摘要:

Nonreciprocal critical supercurrents give rise to the superconducting diode effect (SDE) in noncentrosymmetric superconductors when time-reversal symmetry is broken. In this paper, we investigate the SDE in superconductors with vanishing spin-orbit coupling but featuring narrow bands near the Fermi energy -- a characteristic particularly relevant to moiré heterostructures, such as twisted bilayer graphene. Using phenomenological Ginzburg-Landau theory and self-consistent mean-field approaches, we analyze the contributions to the SDE from both conventional band dispersion and quantum geometry. While the conventional SDE arises from the asymmetric Fermi surface, we demonstrate that the quantum metric dipole generates a band quantum-geometric contribution to the SDE, even in systems with symmetric single-particle dispersion. Notably, in the flat-band limit, where the attractive interaction strength significantly exceeds the bandwidth, the contributions from quantum geometry to the supercurrent and diode effect become dominant. Our paper elucidates the conventional and quantum-geometric origins of superconducting nonreciprocity and explores their implications for flat-band superconductors.

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