Topological Quantum Chemistry III: Topological data mining based on band connectivity

ORAL

Abstract

In this talk I will present the theory and implementation to calculate and tabulate the band connectivity for every orbital of all elements that can appear in materials database of the 230 space groups and that can sit at every Wyckoff position allowed by that group. Using this tables we can predict all the topological semimetals and topological insulators (including time reversal, symmorphic and non symmorphic) that we can find in any database.

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Authors

  • M. G. Vergniory

    Donostia International Physics Center, Donostia-San Sebastian, 20018 Spain, Donostia International Physics Center and University of the Basque Country

  • Barry Bradlyn

    Princeton Center for Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA

  • Jennifer Cano

    Princeton Center for Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA, Princeton University, Princeton Center for Theoretical Science

  • Zhijun Wang

    Department of Physics, Princeton University, Princeton, New Jersey 08544, USA, Princeton University, Department of Physics, Princeton University

  • Luis Elcoro

    Department of Condensed Matter Physics, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain, University of the Basque Country

  • Mois Aroyo

    Department of Condensed Matter Physics, University of the Basque Country UPV/EHU, Apartado 644, 48080 Bilbao, Spain

  • Claudia Felser

    MPI CPfS, Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Germany, Max Planck Institute for the Chemical Physics of Solids, Max-Planck-Institute for Chemical Physics of Solids, Dresden, Germany, Max Planck Institute for Chemical Physics of Solids

  • B. Andrei Bernevig

    Department of Physics, Princeton University, Princeton, New Jersey 08544, USA, Princeton University