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.

6 pages, 4 figures

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• Stabilizer Entropy and entanglement complexity in the Sachdev-Ye-Kitaev model
• Magneto-Thermoelectric Transport in Graphene Quantum Dot with Strong Correlations
• Conductance and thermopower fluctuations in interacting quantum dots
• 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