Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory

• URL: http://arxiv.org/abs/2011.05100v1
• Date: Tue, 10 Nov 2020 13:55:20 GMT
• Title: Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
• Authors: Bernhard Irsigler and Tobias Grass and Jun-Hui Zheng and Mathieu Barbier and Walter Hofstetter
• Abstract summary: We investigate an experimentally motivated model for Weyl physics of cold atoms in optical lattices. We characterize topological phases by numerically evaluating the Chern number. For a deeper understanding of the Weyl-semimetal-to-Mott-insulator topological phase transition, we evaluate the topological properties of quasiparticle bands.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Weyl semimetals are three-dimensional, topologically protected, gapless phases which show exotic phenomena such as Fermi arc surface states or negative magnetoresistance. It is an open question whether interparticle interactions can turn the topological semimetal into a topologically nontrivial Mott insulating phase. We investigate an experimentally motivated model for Weyl physics of cold atoms in optical lattices, with the main focus on interaction effects and topological properties by means of dynamical mean-field theory (DMFT). We characterize topological phases by numerically evaluating the Chern number via the Ishsikawa-Matsuyama formula for interacting phases. Within our studies, we find that the Chern numbers become trivial when interactions lead to insulating behavior. For a deeper understanding of the Weyl-semimetal-to-Mott-insulator topological phase transition, we evaluate the topological properties of quasiparticle bands as well as so-called blind bands. Our study is complementary to recent studies of Weyl semimetals with DMFT.

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