Berlin 2024 – scientific programme

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MM: Fachverband Metall- und Materialphysik

MM 29: Poster II

MM 29.1: Poster

Tuesday, March 19, 2024, 17:00–19:00, Poster B

Exploring Mott Transition in the Hubbard Model using Slave Spin Mean Field Theory — •Youssra Anene — Cergy Paris Université, France

This poster delves into the application of the innovative slave spin mean field theory to investigate Mott transition within the single-band Hubbard model. The phenomenon of Mott transition, where a system transforms from a metallic to an insulating state, bears profound significance in the realm of condensed matter physics. Our study conducts an intricate analysis utilizing this novel theory to interpret the behaviors of crucial parameters, like quasiparticle weight, double occupancy within the Hubbard model. We examine how these parameters evolve with respect to the onsite Coulomb repulsion. The interpretations of resulting visual representations provide intricate insights into the dynamic intricacies of a Mott transition. Our inquiries are conducted under specific conditions: half filling (one electron per site), at absolute zero temperature, and in the context of a paramagnetic state. Through our work, we not only underscore the effectiveness of the slave spin mean field method in illuminating the fundamental mechanisms of the Hubbard model, but also outline potential paths for further exploration. We express our ambitions to extend this method to investigate the presence of Mott transition in other lattices . Additionally, we emphasize the potential application of this method to investigate the intriguing antiferromagnetic state within the Hubbard model and to explore the dynamics in the case of being out of equilibrium* .

Keywords: Slave spin mean field theory; Hubbard model; Mott transition; Strongly correlated electron systems; Condensed matter physics