Engineering SYK interactions in disordered graphene flakes under realistic experimental conditions

We model SYK (Sachdev-Ye-Kitaev) interactions in disordered graphene flakes up to 300 000 atoms ($\sim$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 which could be favorable for the formation of the phase with SYK features under realistic experimental conditions above the liquid helium temperature.