Weyl points and topological nodal superfluids in a face-centered cubic optical lattice

Abstract

We point out that a face-centered cubic (FCC) optical lattice, which can be realised by a simple scheme using three lasers, provides one a highly controllable platform for creating Weyl points and topological nodal superfluids in ultracold atoms. In non-interacting systems, Weyl points automatically arise in the Floquet band structure when shaking such FCC lattices, and sophisticated design of the tunnelling is not required. More interestingly, in the presence of attractive interaction between two hyperfine spin states, which experience the same shaken FCC lattice, a three-dimensional topological nodal superfluid emerges, and Weyl points show up as the gapless points in the quasiparticle spectrum. One could either create a double Weyl point of charge 2, or split it to two Weyl points of charge 1, which can be moved in the momentum space by tuning the interactions. Correspondingly, the Fermi arcs at the surface may be linked with each other or separated as individual ones.

5 pages, 2 figures in the main text; 2 pages, 2 figures in the supplemental material

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• Topological quantum matter with cold atoms
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• Topological Gapless Matters in Three-dimensional Ultracold Atomic Gases
• Axial anomaly in multi-Weyl and triple-point semimetals
• Chiral magnetic effect in three-dimensional optical lattices
• Scheme to Equilibrate the Quantized Hall Response of Topological Systems from Coherent Dynamics
• Floquet chiral hinge modes and their interplay with Weyl physics in a three-dimensional lattice
• From Nodal Ring Topological Superfluids to Spiral Majorana Modes in Cold Atomic Systems
• Generating Weyl semimetals from alkali metals
• Superlight pairs in face-centred-cubic extended Hubbard models with strong Coulomb repulsion
• Bosonic Weyl excitations induced by $p$-orbital interactions in a cubic optical lattice
• Dynamical Weyl Points and 4D Nodal Rings in Cold Atomic Gases