Journal
PHYSICAL REVIEW B
Volume 103, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.103.125132
Keywords
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Funding
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [277974659, FOR 2414]
- la Caixa Foundation [100010434, LCF/BQ/PI19/11690013]
- Spanish Ministry MINECO
- State Research Agency AEI [FIDEUA PID2019-106901GB-I00/10.13039/501100011033, SEV-2015-0522, CEX2019-000910-S]
- European Social Fund
- Fundacio Cellex
- Fundacio Mir-Puig
- Generalitat de Catalunya (AGAUR - ERDF Operational Program of Catalonia 2014-2020) [2017 SGR 1341, U16-011424]
- MINECO-EU QUANTERA MAQS [State Research Agency (AEI)] [PCI2019-111828-2/10.13039/501100011033]
- EU Horizon 2020 FET-OPEN OPTOLogic [899794]
- National Science Centre, Poland-Symfonia Grant [2016/20/W/ST4/00314]
- Research Council of Norway through its Centres of Excellence funding scheme [262633]
- DFG via the high performance computing center LOEWE-CSC
- ERC AdG NOQIA
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By studying the dynamical mean-field theory, we found that the Chern numbers of topological phases become trivial when interactions lead to insulating behavior. We also evaluated the topological properties of quasiparticle bands and so-called blind bands to gain a deeper understanding of the Weyl-semimetal-to-Mott-insulator topological phase transition. Additionally, we considered a system with an open boundary along one spatial direction to study correlation effects of surface states.
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. We characterize topological phases by numerically evaluating the Chern number via the Ishikawa-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. Finally, we consider a system with an open boundary along one spatial direction in order to study correlation effects of surface states. In a narrow regime close to the topological phase transition, we find a correlation-induced state in which the surface becomes metallic while the bulk is semimetallic.
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