Regensburg 2022 – wissenschaftliches Programm

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SYQM: Complexity and Topology in Quantum Matter

SYQM 1: Complexity and Topology in Quantum Matter

SYQM 1.1: Hauptvortrag

Freitag, 9. September 2022, 09:30–10:00, H1

The role of crystalline symmetries in topological materials: the topological materials database — •Maia Vergniory — Max Planck for Chemical Physics of Solids, Nöthnitzer Str. 40, 01187 Dresden, Germany

Quantum materials are a collection of atoms with interacting electrons and nuclei displaying emergent behaviour and topological properties. The past two decades has witnessed an explosion in the field of topological materials: from weak interacting electrons to strongly correlated ones, topological materials represent one of the most exciting application for future technologies. High performance electronics, quantum information or ultrafast spintronics are just a few of the possible technologies that can be developed based on these materials. In this talk I will discuss the route to go from pure mathematical prediction of topological properties, through high through-put materials search to device fabrication. I will discuss both topological insulators, in non magnetic and magnetic phases as well as topological (chiral) semimetals using the the modern theory of topological band structure. Topological Quantum Chemistry built upon symmetry-based considerations and complemented with chemical theories of bonding, ionization, and covalence. Consequently, it describes the universal global properties of all possible band structures and materials. Beyond the single particle picture, I will present our formalism based on Green's functions aiming to discover topological correlated phases in materials displaying electronic entanglement.