Type-II Dirac semimetal stabilized by electron-phonon coupling

Mirko M. Möller (), George A. Sawatzky, Marcel Franz and Mona Berciu ()
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Mirko M. Möller: University of British Columbia
George A. Sawatzky: University of British Columbia
Marcel Franz: University of British Columbia
Mona Berciu: University of British Columbia

Nature Communications, 2017, vol. 8, issue 1, 1-6

Abstract: 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.

Date: 2017
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DOI: 10.1038/s41467-017-02442-y

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