Nodal Nematic Superconductivity in Multiple-Flat-Band Land

Chao-Xing Liu, B. Andrei Bernevig
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Abstract

In this work, we propose a mechanism of inducing stable nodal superconductivity for multiple-flat-band systems. This mechanism is based on the degenerate flat band nature, so that not only intra-eigen-band pairing, but also inter-eigen-band pairing has a significant influence on the superconductivity properties. Based on the Bogoliubov de Gennes formalism of the heavy fermion model for the twisted bilayer graphene as an example, we show that although the nodal nematic d-wave pairing has higher energy around the nodal points compared to the chiral d-wave pairing in the momentum space, the inter-eigen-band pairing can lower the energy in other momenta away from the nodes, so that the nematic d-wave pairing is energetically favored for its overall condensation energy. This type of mechanism is particular to multiple-flat-band systems with no Fermi surfaces.
多平带陆地中的节点向列超导性
在这项工作中,我们提出了一种诱导多平带系统稳定结点超导的机制。该机制基于退化平带性质,因此不仅特征带内配对,特征带间配对也对超导特性有重要影响。我们以扭曲双层石墨烯的重费米子模型的波哥留波夫-德-吉恩形式主义为例,说明虽然在动量空间中,节点向列 d 波配对在节点附近的能量比手性 d 波配对高,但特征带间配对可以降低远离节点的其他时刻的能量,从而使向列 d 波配对在能量上更有利于其整体凝聚能。这种机制特别适用于没有费米面的多平带系统。
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