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Multi-gap topological phases: geometrical properties and realizations.

ORAL

Abstract

With the recent advent of powerful classification schemes a significant step has been made towards characterizing and classifying topological band theory. Within this talk I will address a new direction, entailing phases that go beyond these wisdoms, thriving on the concept of multi-gap topology. In particular, such phases conspire into new types of invariants and a rich novel interplay with geometry [1-3]. I will highlight some of these new aspects that we have obtained this year and point out a variety of experimental settings, including phonon spectra, meta-materials, cold atoms and electronic band systems, where these concepts culminate in readily observable experimental signatures [4,5].

Publication: [1] Bouhon et al., Phys. Rev. B 102, 115135 (2020).<br>[2] Bouhon et al., Nat. Phys 16, 1137 (2020).<br>[3] Jiang et al., Nat. Phys. (2021), in press.<br>[4] Pen et al., arXiv: 2105.08733.<br>[5] Ünal et al, Phys. Rev. Lett. 125, 053601 (2020).

Presenters

  • Robert-Jan Slager

    Univ of Cambridge, TCM Group, Cavendish Laboratory, University of Cambridge; Department of Physics, Harvard University, University of Cambridge

Authors

  • Robert-Jan Slager

    Univ of Cambridge, TCM Group, Cavendish Laboratory, University of Cambridge; Department of Physics, Harvard University, University of Cambridge