$F$-wave pairing of cold atoms in optical lattices

Abstract

The tremendous development of cold atom physics has opened up a whole new opportunity to study novel states of matter which are not easily accessible in solid state systems. Here we propose to realize the $f$-wave pairing superfluidity of spinless fermions in the $p_{x,y}$-orbital bands of the two dimensional honeycomb optical lattices. The non-trivial orbital band structure rather than strong correlation effects gives rise to the unconventional pairing with the nodal lines of the $f$-wave symmetry. With a confining harmonic trap, zero energy Andreev bound states appear around the circular boundary with a six-fold symmetry. The experimental realization and detection of this novel pairing state are feasible.

9 pages, 5 figures

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• The honeycomb lattice with multi-orbital structure: topological and quantum anomalous Hall insulators with large gaps
• Physics of higher orbital bands in optical lattices: a review
• Quantum anomalous Hall states in the $p$-orbital honeycomb optical lattices
• Orbital magnetoelectric effect in zigzag nanoribbons of p-band systems
• Two-dimensional Kagome Materials: Theoretical Insights, Experimental Realizations, and Electronic Structures
• Frustrated Cooper pairing and the $f$-wave supersolidity
• Superfluid phases of fermions with hybridized $s$ and $p$ orbitals
• Quarter-filled Kane-Mele Hubbard model: Dirac half-metals
• $f$-wave superfluidity from repulsive interaction in Rydberg-dressed Fermi gas
• Pairing mechanism of unconventional superconductivity in doped Kane-Mele model
• Chiral f-wave Topological Superuid in Triangular Optical Lattices
• Spin-Induced Orbital Frustration in a Hexagonal Optical Lattice
• Boundary obstructed topological superconductor in buckled honeycomb lattice under perpendicular electric field
• Quantum gas of polar molecules ensembles at ultralow temperatures: f-wave superfluids
• Triplet $p$-wave pairing correlation in low doped zigzag graphene nanoribbons
• Multipolar Fermi-surface deformation in a Rydberg-dressed Fermi gas with long-range anisotropic interactions
• Solvable 2D superconductors with l-wave pairing
• Holes Localized on a Skyrmion in a Doped Antiferromagnet on the Honeycomb Lattice: Symmetry Analysis
• Making artificial ${\text{p}}_{x,y}$-orbital honeycomb electron lattice on metal surface
• Pairing from repulsion in a two-dimensional Fermi gas with soft-core interactions
• Possible Electric-Field-Induced Superconducting States in Doped Silicene
• Realization of Nearly Dispersionless Bands with Strong Orbital Anisotropy from Destructive Interference in Twisted Bilayer MoS2
• Topological superfluid of spinless Fermi gases in p-band honeycomb optical lattices with on-site rotation
• Emergence of triplet orbital pairing and non-Abelian states in ultracold multi-orbital optical lattices with quadratic band touching