Kohn-Luttinger Mechanism Driven Exotic Topological Superconductivity on the Penrose Lattice.,Physical Review Letters

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Kohn-Luttinger Mechanism Driven Exotic Topological Superconductivity on the Penrose Lattice.
Physical Review Letters ( IF 8.1 ) Pub Date : 2020-06-30 , DOI: 10.1103/physrevlett.125.017002
Ye Cao ₁ , Yongyou Zhang ₁ , Yu-Bo Liu ₁ , Cheng-Cheng Liu ₁ , Wei-Qiang Chen _{2,

3,

4} , Fan Yang ₁

Affiliation

The Kohn-Luttinger mechanism for unconventional superconductivity (SC) driven by weak repulsive electron-electron interactions on a periodic lattice is generalized to the quasicrystal (QC) via a real-space perturbative approach. The repulsive Hubbard model on the Penrose lattice is studied as an example, on which a classification of the pairing symmetries is performed and a pairing phase diagram is obtained. Two remarkable properties of these pairing states are revealed, due to the combination of the presence of the point-group symmetry and the lack of translation symmetry on this lattice. First, the spin and spacial angular momenta of a Cooper pair is decorrelated: for each pairing symmetry, both spin-singlet and spin-triplet pairings are possible even in the weak-pairing limit. Second, the pairing states belonging to the 2D irreducible representations of the

D_{5}

point group can be time-reversal-symmetry-breaking topological SCs carrying spontaneous bulk super current and spontaneous vortices. These two remarkable properties are general for the SCs on all QCs, and are rare on periodic lattices. Our work starts the new area of unconventional SCs driven by repulsive interactions on the QC.

中文翻译：

彭罗斯格子上的Kohn-Luttinger机理驱动的奇异拓扑超导。

通过实空间微扰方法将由周期性晶格上的弱排斥电子-电子相互作用驱动的非常规超导性（SC）的Kohn-Luttinger机理推广为准晶体（QC）。以Penrose晶格上的斥力Hubbard模型为例，对其进行配对对称性分类并获得配对相图。由于点组对称性的存在和该晶格上缺乏平移对称性的结合，揭示了这些配对状态的两个显着特性。首先，Cooper对的自旋角和空间角动量是解相关的：对于每个配对对称性，即使在弱配对限制中，自旋-单重和自旋-三重态配对也是可能的。第二，