Beyond Topological Quantum Chemistry
Maia G. Vergniory
Donostia International Physics Center, Donostia-San Sebastian, Spain
Ikerbasque, Basque Foundation for Science, Bilbao, Spain
Présentation en anglais
Vidéoconférence, Zomm #: 892019835 (Zoom link)
Lorsque demandé, indiquer 'zéro zéro deux quatre sept deux' en chiffre.
Abstract: Topological quantum chemistry (TQC) framework has provided a complete description of the universal properties of all possible atomic band insulators in all space groups considering the crystalline unitary symmetries. It links the chemical and symmetry structure of a given material with its topological properties. While this formalism filled the gap between the mathematical classification and the practical diagnosis of topological materials, an obvious limitation is that it only applies to weakly interacting systems. It is an open question to which extent this formalism can be generalized to strongly correlated system that can exhibit symmetry protected topological Mott insulators. In this talk I will first introduce TQC and its application and then I will address this question by combining cluster perturbation theory and topological Hamiltonians within TQC. This simple formalism will be applied to calculate to the phase diagram of the Hubbard model for a diamond chain. The results are compared to numerically exact calculations from density matrix renormalization group and variational Monte Carlo simulations together with many-body topological invariants.
For more information about Prof. Vergniory, you can consult her research web page.
Cette conférence est présentée par le RQMP.
