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Non-Axionic Magnetic Higher-Order Topological Insulators and High-Throughput Magnetic Topological Materials Discovery from Magnetic Topological Quantum Chemistry

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Abstract

In [Bradlyn*, Elcoro*, Cano*, Vergniory*, Wang*, et al., Nature (2017)], we introduced Topological Quantum Chemistry (TQC) - a real-space predictive theory of band topology in nonmagnetic crystals. TQC subsequently fueled the successful identification of tens of thousands of topological materials, and the discovery of novel topological insulating (TI) phases. This past year, we have completed the 70-year-old problem of group theory in magnetic crystals, facilitating the formulation of a complete position-space theory of band topology in magnetic solids - Magnetic Topological Quantum Chemistry (MTQC) [Elcoro*, Wieder*, et al., arXiv:2010.00598 (2020)]. Through MTQC, we have derived the complete symmetry-based indicators of spinful magnetic band topology, discovered novel exceptions to symmetry-enhanced fermion doubling theorems, and uncovered the existence of magnetic TIs with response theories beyond axion electrodynamics. We have additionally employed MTQC to perform the first high-throughput search for magnetic topological materials [Xu, et al., Nature (2020)], discovering over 100 magnetic TIs and semimetals with experimentally established magnetic structures.

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Presenters

  • Benjamin Wieder

    Massachusetts Institute of Technology MIT, Princeton University, Massachusetts Institute of Technology

Authors

  • Benjamin Wieder

    Massachusetts Institute of Technology MIT, Princeton University, Massachusetts Institute of Technology

  • Yuanfeng Xu

    Max Planck Institute of Microstructure Physics, Max Planck Institute, Halle, Germany, Physics, Max Planck Institute of Microstructure, Max Planck Inst Microstructure

  • Luis Elcoro

    Department of Condensed Matter Physics, University of the Basque Country, University of the Basque Country UPV/EHU, University of the Basque Country, University of the Basque Country, Spain

  • Zhida Song

    Department of Physics, Princeton University, Princeton University, Physics, Princeton University

  • Maia Garcia Vergniory

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

  • Barry Bradlyn

    University of Illinois at Urbana-Champaign, Department of Physics, University of Illinois, Department of Physics, University of Illinois at Urbana-Champaign, University of Illinois Urbana-Champaign, USA, Department of Physics and Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaigm

  • Nicolas Regnault

    Department of Physics, Princeton University, Princeton University, Princeton University, CNRS, ENS Paris, Princeto University, Princeton, USA

  • Yulin Chen

    School of Physical Science and Technology, ShanghaiTech University, Department of Physics, University of Oxford, University of Oxford, Unviersity of Oxford

  • Claudia Felser

    Max Planck Institute for Chemical Physics of Solids, Max Planck Institute for the Chemical Physics of Solids, Solid State Chemistry, Max Planck Institute for Chemical Physics of Solids, Max Planck Institute, Dresden, Germany, Max Planck, Dresden, Max Planck Institute for Chemical Physics of Solids, 01187 Dresden, Max Planck Institute for Chemical Physics of Solids,

  • Andrei B Bernevig

    Department of Physics, Princeton University, Princeton University, Princeto University, Princeton, USA, Physics, Princeton University