Engineering SYK interactions in disordered graphene flakes under realistic experimental conditions

Abstract

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.

arXiv comment6 pages, 4 figures

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• Magneto-Thermoelectric Transport in Graphene Quantum Dot with Strong Correlations
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• D-commuting SYK model: building quantum chaos from integrable blocks
• Quantum simulations of complex systems
• Strange Metal to Insulator Transitions in the Lowest Landau Level
• Sachdev-Ye-Kitaev physics from the Hubbard model: A Floquet engineering approach
• Noise signatures of a charged Sachdev-Ye-Kitaev dot in mesoscopic transport