Energetics and Structure of Domain Wall Networks in Minimally Twisted Bilayer Graphene under Strain

Abstract

The parameters of the triangular domain wall network in bilayer graphene with a simultaneously twisted and biaxially stretched bottom layer are studied using the two-chain Frenkel-Kontorova model. It is demonstrated that if the graphene layers are free to rotate, they prefer to stay co-aligned upon stretching the bottom layer and the regular triangular network of tensile domain walls is formed upon the commensurate-incommensurate phase transition. If the angle between the layers is fixed, the regular triangular network of shear domain walls is observed at zero elongation of the bottom layer. Upon stretching the bottom layer, however, the domain walls transform into the tensile ones and the size of the commensurate domains decreases. We also show that the parameters of the isosceles triangular domain wall network in twisted bilayer graphene under shear strain can be determined through purely geometrical considerations. Experimental analysis of the orientation of domain walls and period of the triangular network would, on the one hand, contribute to understanding of the interlayer interaction of graphene layers, and, on the other hand, serve for detection of relative strains and rotation between the layers. Vice versa external strains can be used to control the parameters of the triangular domain wall network and, therefore, electronic properties of twisted bilayer graphene.

13 pages, 6 figures

References in corpus (8)

• A Higher-Accuracy van der Waals Density Functional
• Dependence of band structures on stacking and field in layered graphene
• Commensurate-incommensurate phase transition in bilayer graphene
• Fast diffusion of graphene flake on graphene layer
• Networks of ABA and ABC stacked graphene on mica observed by scanning tunneling microscopy
• Commensurate-incommensurate phase transition and a network of domain walls in bilayer graphene with a biaxially stretched layer
• Stacking in incommensurate graphene/hexagonal-boron-nitride heterostructures based on ab initio study of interlayer interaction
• Edge stacking dislocations in two-dimensional bilayers with a small lattice mismatch

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• Structural and electronic signatures of strain-tunable marginally twisted bilayer graphene
• Interlayer interaction, shear vibrational mode, and tribological properties of two-dimensional bilayers with a commensurate moiré pattern
• The emergence of interface states in graphene/transition metal dichalcogenides heterostructure with lateral interface
• Restriction of macroscopic structural superlubricity due to structure relaxation by the example of twisted graphene bilayer
• Electrically tunable stacking domains and ferroelectricity in moiré superlattices
• Chiral and Clock phases in Twisted Dipolar Clusters
• Robust structural superlubricity of twisted graphene bilayer and domain walls between commensurate moiré pattern domains from first-principles calculations