Regensburg 2022 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 21: Correlated Electrons: Poster Session

TT 21.26: Poster

Mittwoch, 7. September 2022, 15:00–18:00, P1

Building Blocks for Cluster Mott Insulators — •Vaishnavi Jayakumar and Ciarán Hickey — Institute for Theoretical Physics, University of Cologne, Germany

The Hubbard model provides a rich playground for investigating the physics of a wide range of strongly correlated systems. An important limit in the model is the Mott insulating regime, where, at half-filling, electrons get localized on single atomic sites. In this work, we investigate extensions of the idea to cluster Mott insulators– where electrons are now localized on clusters of sites. To that end, we study the Hubbard model on a plethora of different clusters, at different integer fillings, by constructing a general Hamiltonian for each cluster. This allows us to explore different regimes of the interplay of strong correlations and hopping within these clusters, and their respective emergent effective degrees of freedom. We then go beyond the single-orbital “cluster” Hubbard model and include multiple orbitals and interactions between them. Once these building blocks have been established, it is possible to introduce inter-cluster hopping terms into the picture; depending on the nature of the resulting effective interactions, they can give rise to novel Hamiltonians, which might possibly host highly correlated and/or frustrated phases.