Frustrated Cooper pairing and the $f$-wave supersolidity

Abstract

Geometric frustration in quantum magnetism refers to that magnetic interactions on different bonds cannot be simultaneously minimized. The usual Cooper pairing systems favor the uniform distribution of the pairing phase among lattice sites without frustration. In contrast, we propose "frustrated Cooper pairing" in non-bipartite lattices which leads to frustrated supersolid states with non-uniform distributions of the Cooper pair phase and density. This exotic pairing state naturally occurs in the $p$-orbital band in optical lattices with ultra-cold spinless fermions. In the triangular lattice, it exhibits an unconventional supersolid state with the $f$-wave symmetry.

8 pages

References in corpus (18)

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Cited by in corpus (15)

• Physics of higher orbital bands in optical lattices: a review
• Time reversal symmetry breaking of $p$-orbital bosons in a one-dimensional optical lattice
• Formation and detection of a chiral orbital Bose liquid in an optical lattice
• $f$-wave superfluidity from repulsive interaction in Rydberg-dressed Fermi gas
• Trimer superfluid and supersolid on two-dimensional optical lattices
• Stripe, checkerboard, and liquid-crystal ordering from anisotropic p-orbital Fermi surfaces in optical lattices
• Prediction of $f$-wave pairing symmetry in YBa${}_2$Cu${}_3$O${}_{6+x}$ cuprates
• Chiral f-wave Topological Superuid in Triangular Optical Lattices
• Quantum gas of polar molecules ensembles at ultralow temperatures: f-wave superfluids
• Orbital phases of fermions in an asymmetric optical ladder
• Ising phase transitions and thermodynamics of correlated fermions in a two-dimensional spin-dependent lattice potential
• Solvable 2D superconductors with l-wave pairing
• Multipolar Fermi-surface deformation in a Rydberg-dressed Fermi gas with long-range anisotropic interactions
• Emergence of triplet orbital pairing and non-Abelian states in ultracold multi-orbital optical lattices with quadratic band touching
• Phase diagram of strongly attractive $p$-orbital fermions on optical lattices