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Frustrated Cooper pairing and f-wave supersolidity in cold-atom optical lattices

机译:冷原子光学晶格中的库珀配对和f波超固结

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摘要

Geometric frustration in quantum magnetism refers to the fact that magnetic interactions on different bonds cannot be simultaneously minimized. The usual Cooper pairing systems favor uniform spatial distributions of pairing phases among different lattice sites without frustration. In contrast, we propose "frustrated Cooper pairing" in non-bipartite lattices which leads to supersolid states of Cooper pairs. Not only the amplitudes of the pairing order parameter but also its signs vary from site to site. This exotic pairing state naturally occurs in the p-orbital bands in optical lattices with ultracold spinless fermions. In the triangular lattice, it exhibits an unconventional supersolid state with the /-wave symmetry.
机译:量子磁性中的几何挫折是指不同键上的磁性相互作用无法同时最小化的事实。常规的库珀配对系统有利于配对相在不同晶格位置之间的均匀空间分布,而不会产生挫败感。相比之下,我们提出了非二分格子中的“沮丧的库珀配对”,这导致了库珀对的超固态。不仅是配对顺序参数的幅度,而且其符号也因地点而异。这种奇异的配对状态自然发生在具有超冷无旋费米子的光学晶格中的p轨道带中。在三角晶格中,它表现出具有/波对称性的非常规超固态。

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