Multiflavor SYK model on the lattice

ORAL

Abstract

The Sachdev-Ye-Kitaev (SYK) model is a canonical solvable model of a non-Fermi liquid. We study the physics of a multiflavor SYK model on the lattice and discuss its spectral properties in the presence and absence of particle-hole symmetry breaking. These flavours, which can be thought of as emulating fermion spins or orbitals, along with the underlying lattice, connect the phases observed in our model to intriguing experimental observations. Using numerical and analytic calculations, we illustrate the existence of quantum phase transitions and multicritical phenomena in our model, and discuss transport properties in the large-N limit.

*We acknowledge the support of the Natural Sciences and Engineering Research Council of Canada (NSERC) and NSERC Canada Graduate Scholarships CGSM.

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Presenters

  • Andrew K Hardy

    • Univ of Toronto

Authors

  • Andrew K Hardy

    • Univ of Toronto

  • Arijit Haldar

    • University of Toronto, Canada
    • Univ of Toronto
    • Postdoc, University of Toronto
    • University of Toronto

  • Arun Paramekanti

    • Univ of Toronto