Topology and Correlations
The setting for quantum mechanics is Hilbert space—the abstract space defined by the set of quantum wave functions. We now know that the geometry and topology of Hilbert space can have decisive effects on physical properties, leading for example to the fractional Chern insulator states observed in graphene [Nature volume 600, pages 439–443 (2021)] and transition metal dicalcogenide [ Nature (London) 622, 63 (2023)] materials and even controlling basic properties such as dielectric constants.
CCQ scientists, with many external collaborators, are developing and applying methods to elucidate the impact of wave function geometry and topology on quantum many body physics.
Topics of interest range from method development and basic theory of topological bands [Phys Rev Research 5 L032048 (2023)] and topological Mott insulators [Nature Communications volume 14, Article number: 7531 (2023)} to new phases of matter such as anomalous hall crystals [Phys Rev Lett 132 23660] and topological Kondo semimetals [Phys. Rev. B 110, 165128 (2024)]
Project Leaders: Nicolas Regnault
Project Scientists: Antoine Georges, Andrew Millis, Nicolas Morales-Duran, Saúl Antonio Herrera González, Daniel Choi, Patrick Tscheppe, Agnes Valenti, Shiwei Zhang, Miguel Morales