Journal
PHYSICAL REVIEW B
Volume 105, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.105.035420
Keywords
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Funding
- NY State Empire State Development's Division of Science, Technology and Innovation (NYSTAR) through Focus Center-NY-RPI [C150117]
- NSF [EFRI 2-DARE (EFRI-1542707)]
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The study investigates the influence of soliton lattice on phonons in slightly misaligned bilayer graphene using the Frenkel-Kontorova model, with a nearly free phonon model developed to explain characteristic features in the phonon band structure. The proposed model can explain computational results and be applied to investigate other misaligned two-dimensional networks in van der Waals heterostructures.
Structural relaxation in slightly misaligned bilayer graphene leads to the formation of domains separated by topological solitons. The influence of such a soliton lattice on phonons is investigated in the framework of the Frenkel-Kontorova model, where a solution is derived in the continuum limit. A nearly free phonon model is developed to explain the characteristic features in the phonon band structure derived from the Frenkel-Kontorova model. Its 2D extension is discussed and applied on the specific case of twisted bilayer graphene. This model explains a number of computational results reported until now and can be used directly to investigate other misaligned two-dimensional networks as found in van der Waals heterostructures.
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