IFIMAC+ICMM Joint Seminar Series focuses on cutting-edge research on condensed matter physics, bringing European speakers to our Cantoblanco Campus, this year via Zoom. You need to be subscribed to our mailing list at the link provided below to get the links to the seminar room. https://listas-correo.uam.es/sympa/subscribe/seminarios-ifimac-icmm-l.

 

Beyond Topological Quantum Chemistry

Maia G. Vergniory

Max Planck for the Chemical Physics of Solids, Dresden, Germany

Donostia International Physics Center, San Sebastián, Spain

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 correlated systems that can exhibit symmetry protected topological Mott insulators of magnetic topological phases. In this talk I will first introduce TQC and its application and then I will address this question by first, extending the formalism to magnetic materials and then combining cluster perturbation theory and topological Hamiltonians within TQC. This simple formalism will be applied to calculate to the phase diagram of a representative model. The results are compared to numerically exact calculations from density matrix renormalization group and variational Monte Carlo simulations together with many-body topological invariants.

[1] M.G. Vergniory et al., “A complete catalogue of High Quality Topological Materials “, Nature 566, 480-485 (2019); [2] B. Bradlyn et al., “Topological quantum chemistry”, Nature 547 (7663), 298-305 (2017); [3] Mikel Iraola et al., arXiv preprint arXiv:2101.04135 [4] Dominik Lessnich et al. arXiv preprint arXiv:2103.02624