Quantum simulation of honeycomb lattice model by high-order moiré pattern
arxiv(2024)
摘要
Moiré superlattices have become an emergent solid-state platform for
simulating quantum lattice models. However, in single moiré device,
Hamiltonians parameters like lattice constant, hopping and interaction terms
can hardly be manipulated, limiting the controllability and accessibility of
moire quantum simulator. Here, by combining angle-resolved photoemission
spectroscopy and theoretical analysis, we demonstrate that high-order moiré
patterns in graphene-monolayered xenon/krypton heterostructures can simulate
honeycomb model in mesoscale, with in-situ tunable Hamiltonians parameters. The
length scale of simulated lattice constant can be tuned by annealing processes,
which in-situ adjusts intervalley interaction and hopping parameters in the
simulated honeycomb lattice. The sign of the lattice constant can be switched
by choosing xenon or krypton monolayer deposited on graphene, which controls
sublattice degree of freedom and valley arrangment of Dirac fermions. Our work
establishes a novel path for experimentally simulating the honeycomb model with
tunable parameters by high-order moiré patterns.
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