We show how to realize topologically protected crossings of three energy bands, integer-spin analogs of Weyl fermions, in three-dimensional optical lattices. Our proposal only involves ultracold atom techniques that have already been experimentally demonstrated and leads to isolated triple-point crossings (TPCs) which are required to exist by a novel combination of lattice symmetries. The symmetries also allow for a new type of topological object, the type-II, or tilted, TPC. Our Rapid Communication shows that spin-1 Weyl points, which have not yet been observed in the band structure of crystals, are within reach of ultracold atom experiments.
Geometrically protected triple-point crossings in an optical lattice / Fulga, I.C.*; Fallani, L.; Burrello, M.. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - STAMPA. - 97:(2018), pp. 121402-1-121402-5. [10.1103/PhysRevB.97.121402]
Geometrically protected triple-point crossings in an optical lattice
Fallani, L.;Burrello, M.
2018
Abstract
We show how to realize topologically protected crossings of three energy bands, integer-spin analogs of Weyl fermions, in three-dimensional optical lattices. Our proposal only involves ultracold atom techniques that have already been experimentally demonstrated and leads to isolated triple-point crossings (TPCs) which are required to exist by a novel combination of lattice symmetries. The symmetries also allow for a new type of topological object, the type-II, or tilted, TPC. Our Rapid Communication shows that spin-1 Weyl points, which have not yet been observed in the band structure of crystals, are within reach of ultracold atom experiments.File | Dimensione | Formato | |
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