Scientific Results

Geometrically protected triple-point crossings in an optical lattice

Year: 2018

Authors: Fulga I.C., Fallani L., Burrello M.

Autors Affiliation: Institute for Theoretical Solid State Physics, IFW Dresden, Dresden, 01171, Germany; Department of Physics and Astronomy, University of Florence and LENS European Laboratory for Nonlinear Spectroscopy, Sesto Fiorentino, 50019, Italy; Niels Bohr International Academy and Center for Quantum Devices, University of Copenhagen, Juliane Maries Vej 30, Copenhagen, 2100, Denmark

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.

Journal/Review: PHYSICAL REVIEW B

Volume: 97 (12)      Pages from: 121402-1  to: 121402-5

More Information: We warmly thank L. Duca, L. Lepori, A. Stern, and A. Trombettoni for fruitful discussions. L.F. and M.B. thank the Galileo Galilei Institute of Florence for hospitality during the development of this project. M.B. acknowledges support from the Villum Foundation. L.F. acknowledges funding from the European Research Council (ERC) under the EU\’s Horizon 2020 research and innovation programme (Grant Agreement No. 682629 – TOPSIM).
KeyWords: Fermions
DOI: 10.1103/PhysRevB.97.121402

Citations: 16
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