Towards a Topological Quantum Chemistry description of strongly correlated systems: the case of the Hubbard diamond chain

ORAL

Abstract

The recently introduced Topological Quantum Chemistry (TQC) formalism provides a description of the universal global properties of all possible atomic limit band structures in all groups, in real and momentum space. Using TQC, an algorithm interfaced with ab initio codes was developed, which allowed for high-throughput calculations on material databases identifying thousands of materials displaying topological properties at the Fermi level. However, it is an open question to which extent this formalism can be generalized to correlated systems that can exhibit symmetry protected topological phases which are not adiabatically connected to any band insulator. We address this question by considering the Hubbard diamond chain and apply TQC, together with the concept of topological Hamiltonian and Cluster Perturbation Theory, to study the different topological phases that this system exhibits and the phase transitions between them. We will compare our results with more sophisticated numerical methods.

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Presenters

  • Mikel Iraola Iñurrieta

    • University of the Basque Country UPV/EHU

Authors

  • Mikel Iraola Iñurrieta

    • University of the Basque Country UPV/EHU

  • Niclas Heinsdorf

    • Goethe-Universität Frankfurt
    • ITP, Goethe University Frankfurt

  • Dominik Lessnich

    • Goethe University Frankfurt
    • Goethe-Universität Frankfurt

  • Thomas Mertz

    • Goethe University Frankfurt
    • Goethe-Universität Frankfurt
    • Goethe University Frankfurt am Main

  • Apoorv Tiwari

    • University of Zurich
    • Physics, University of Zurich
    • Universität Zürich
    • Paul Scherrer Institute
    • Univ of Zurich

  • Francesco Ferrari

    • Goethe University Frankfurt
    • Goethe-Universität Frankfurt

  • Stephen Winter

    • Wake Forest University
    • Department of Physics, Wake Forest University

  • Mark Fischer

    • Universität Zürich
    • Univ of Zurich
    • University of Zurich
    • Department of Physics, University of Zurich

  • Frank Pollmann

    • TU Munich
    • Technical University of Munich
    • Tech Univ Muenchen
    • Technical University Munich

  • Titus Neupert

    • University of Zurich
    • Universität Zürich
    • Department of Physics, University of Zurich
    • Univ of Zurich
    • Physics, University of Zurich

  • Roser Valenti

    • Goethe University Frankfurt
    • Goethe-Universität Frankfurt
    • Goethe University Frankfurt am Main
    • ITP, Goethe University Frankfurt
    • Institute for Theoretical Physics, Goethe-Universitat Frankfurt
    • Goethe-University Frankfurt
    • Institut für Theoretische Physik, Goethe University Frankfurt

  • Maia Garcia Vergniory

    • Donostia International Physics Center
    • Donostia International Physics Center-DIPC
    • Donostia International Physics Center, Spain
    • Donastia nternational Physics Center, San Sebastian, Spain