Phases of Interacting Dirac Matter

ORAL

Abstract

We investigate the effects of interactions on the Dirac and Weyl nodal states in various dimensions. The logarithmic velocity renormalization of the Dirac excitation velocity in graphene is but one example of the effects of interactions on the nodal states. We expand this result and find the nodal velocity renormalization effects dependent on the the nature of the interaction and dimensionality. We find the unusual Lifshitz transitions that result in the novel phases with nodal line and nodal sphere that emerge from the Dirac node in case of strong interactions. Our results,while making contact with the established facts about effects of Coulomb interactions lead to a rich phase diagram for interacting Dirac matter.

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Presenters

  • Habib Rostami

    Nordita

Authors

  • Habib Rostami

    Nordita

  • Saikat Banerjee

    NORDITA, Nordita

  • Gabriel Aeppli

    PSI, Paul Scherrer Institute

  • Alexander Balatsky

    NORDITA, Institute for Materials Science, Los Alamos National Laboratory, Nordita, Los Alamos Natl Lab, Nordita, KTH Royal Institute of Technology and Stockholm University; Institute for Materials Science, Los Alamos National Laboratory; Department of Physics, University of Conn, Instittute for Materials Science, Los Alamos National Laboratory, Institute for Materials Science, Los Alamos National Laboratory/Nordita/University of Connecticut