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Type-II Dirac semimetal stabilized by electron-phonon coupling

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  • Mirko M. Möller

    (University of British Columbia
    University of British Columbia)

  • George A. Sawatzky

    (University of British Columbia
    University of British Columbia)

  • Marcel Franz

    (University of British Columbia
    University of British Columbia)

  • Mona Berciu

    (University of British Columbia
    University of British Columbia)

Abstract

There is major interest, in condensed matter physics, in understanding the role of topology: remarkable progress has been made in classifying topological properties of non-interacting electrons, and on understanding the interplay between topology and electron–electron interactions. We extend such studies to interactions with the lattice, and predict non-trivial topological effects in infinitely long-lived polaron bands. Specifically, for a two-dimensional many-band model with realistic electron–phonon coupling, we verify that sharp level crossings are possible for polaron eigenstates, and prove that they are responsible for a novel type of sharp transition in the ground state of the polaron that can occur at a fixed momentum. Furthermore, they result in the appearance of Dirac cones stabilized by electron–phonon coupling. Thus, electron–phonon coupling opens an avenue to create and control Dirac and Weyl semimetals.

Suggested Citation

  • Mirko M. Möller & George A. Sawatzky & Marcel Franz & Mona Berciu, 2017. "Type-II Dirac semimetal stabilized by electron-phonon coupling," Nature Communications, Nature, vol. 8(1), pages 1-6, December.
    • Handle: RePEc:nat:natcom:v:8:y:2017:i:1:d:10.1038_s41467-017-02442-y
    DOI: 10.1038/s41467-017-02442-y
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