Engineering SYK Interactions in Disordered Graphene Flakes under Realistic Experimental Conditions

We model 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.

Automated summary

We investigate the interactions of disordered graphene flakes consisting of up to 300,000 atoms (-100 nm in diameter) subject to an out-of-plane magnetic field B of 5-20 Tesla using the Sachdev-Ye-Kitaev (SYK) framework. We study two sources of disorder: (i) irregularities at the system boundaries, and (ii) bulk vacancies, and find conditions under realistic experimental conditions above the liquid helium temperature that could favor the formation of the phase with Sachdev-Ye-Kitaev features.