Toward realization of the SYK model in graphene: Theory

Sachdev-Ye-Kitaev is a paradigmatic model relevant from both condensed matter and gravity perspective. We discuss detailed numerical modelling on interactions following the Sachdev-Ye-Kitaev (SYK) framework in disordered graphene flakes up to 300 000 atoms in size (∼100 nm in diameter) subjected to an out-of-plane magnetic field B of 5–20 Tesla within the tight-binding formalism. We investigate two sources of disorder: (i) irregularities at the system boundaries, and (ii) bulk vacancies—for a combination of which we find conditions that could be favorable for the formation of the phase with Sachdev-Ye-Kitaev features under realistic experimental conditions above the liquid helium temperature. This talk complements the experimental talk by L. E. Anderson and colleagues, "Toward realization of the SYK model in graphene".