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.

arXiv comment13 pages, 6 figures

References in corpus (35)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Van der Waals Density Functional for General Geometries
• A Higher-Accuracy van der Waals Density Functional
• Atomic and electronic reconstruction at van der Waals interface in twisted bilayer graphene
• Strain Solitons and Topological Defects in Bilayer Graphene
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Valley Chern Numbers and Boundary Modes in Gapped Bilayer Graphene
• Dependence of band structures on stacking and field in layered graphene
• Adhesion and electronic structure of graphene on hexagonal boron nitride substrates
• Topologically Protected Helical States in Minimally Twisted Bilayer Graphene
• Relaxation of moiré patterns for slightly misaligned identical lattices: graphene on graphite
• Helical networks in twisted bilayer graphene under interlayer bias
• Structural and electronic transformation in low-angle twisted bilayer graphene
• Transport through a network of topological states in twisted bilayer graphene
• Topological kink states at a tilt boundary in gated multi-layer graphene
• Commensurate-incommensurate phase transition in bilayer graphene
• Helical Network Model for Twisted Bilayer Graphene
• Electric Field Control of Soliton Motion and Stacking in Trilayer Graphene
• Fast diffusion of graphene flake on graphene layer
• Electrically tunable gauge fields in tiny-angle twisted bilayer graphene
• Comparison of performance of van der Waals-corrected exchange-correlation functionals for interlayer interaction in graphene and hexagonal boron nitride
• Networks of ABA and ABC stacked graphene on mica observed by scanning tunneling microscopy
• Stacking boundaries and transport in bilayer graphene
• Electronic transmission through AB-BA domain boundary in bilayer graphene
• Electromechanical Oscillations in Bilayer Graphene
• Barriers to motion and rotation of graphene layers based on measurements of shear mode frequencies
• Diffusion and drift of graphene flake on graphite surface
• Dislocations in stacking and commensurate-incommensurate phase transition in bilayer graphene and hexagonal boron nitride
• Interlayer interaction and related properties of bilayer hexagonal boron nitride: ab initio study
• 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
• Nanomechanical Properties and Phase Transitions in a Double-Walled (5,5)@(10,10) Carbon Nanotube: ab initio Calculations
• Structure and energetics of carbon, hexagonal boron nitride and carbon/hexagonal boron nitride single-layer and bilayer nanoscrolls
• Robust one-dimensional wires in lattice mismatched bilayer graphene
• Edge stacking dislocations in two-dimensional bilayers with a small lattice mismatch

Cited by in corpus (12)

• Twistronics in graphene-based van der Waals structures
• Two phases with different domain wall networks and a reentrant phase transition in bilayer graphene under strain
• Universal description of potential energy surface of interlayer interaction in two-dimensional materials by first spatial Fourier harmonics
• Robust propagating in-gap modes due to spin-orbit domain walls in graphene
• Strain Solitons in an Epitaxially Strained van der Waals-like Material
• Interlayer interaction, shear vibrational mode, and tribological properties of two-dimensional bilayers with a commensurate moiré pattern
• Structural and electronic signatures of strain-tunable marginally twisted bilayer graphene
• 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
• Robust structural superlubricity of twisted graphene bilayer and domain walls between commensurate moiré pattern domains from first-principles calculations
• Chiral and Clock phases in Twisted Dipolar Clusters