The emergence of one-dimensional channels in marginal-angle twisted bilayer graphene
arXiv:1908.05941 · doi:10.1088/2053-1583/ab57f8
Abstract
We generalize the continuum model for Moiré structures made from twisted graphene layers, in order to include lattice relaxation and the formation of channels at very small (marginal) twist angles. We show that a precise description of the electronic structure at such small angles can be achieved by i) calculating first the relaxed atomic structure, ii) projecting the interlayer electronic hopping parameters using a suitable basis of Bloch states, and iii) increasing the number of harmonics in the continuum approximation to interlayer hopping. The results show a complex structure of quasi one dimensional states when a finite bias is applied.
References in corpus (14)
- Continuum Model of the Twisted Bilayer
- Lattice relaxation and energy band modulation in twisted bilayer graphenes
- Topological confinement in bilayer graphene
- An exact continuum model for low-energy electronic states of twisted bilayer graphene
- Valley-Hall Kink and Edge States in Multilayer Graphene
- Continuum models for twisted bilayer graphene: the effects of lattice deformation and hopping parameter
- Moiré phonons in the twisted bilayer graphene
- Giant oscillations in a triangular network of one-dimensional states in marginally twisted graphene
- Moiré-pattern fluctuations and electron-phason coupling in twisted bilayer graphene
- Spontaneous Layer-Pseudospin Domain Walls in Bilayer Graphene
- Ferromagnetism and Spin-Valley liquid states in Moiré Correlated Insulators
- Zero-line modes at stacking faulted domain walls in multilayer graphene
- Optical Phonons in Twisted Bilayer Graphene with Gate-Induced Asymmetric Doping
- Ballistic electron channels including weakly protected topological states in delaminated bilayer graphene
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- Electronic localization in small-angle twisted bilayer graphene
- Hofstadter butterfly and Floquet topological insulators in minimally twisted bilayer graphene
- Giant atomic swirl in graphene bilayers with biaxial heterostrain
- Correlated states of a triangular net of coupled quantum wires: Implications for the phase diagram of marginally twisted bilayer graphene
- Coexistence of Reconstructed and Unreconstructed Structures in Structural Transition Regime of Twisted Bilayer Graphene
- Charge density wave and finite-temperature transport in minimally twisted bilayer graphene
- A primer on twistronics: A massless Dirac fermion's journey to moiré patterns and flat bands in twisted bilayer graphene
- Kagomé network of chiral miniband-edge states in double-aligned graphene-hexagonal boron nitride structures
- Electrically tunable correlated domain wall network in twisted bilayer graphene
- Effective Floquet model for minimally twisted bilayer graphene
- Quantum Hall interferometry in triangular domains of marginally twisted bilayer graphene
- Localized states coupled to a network of chiral modes in minimally twisted bilayer graphene
- Arrays of one-dimensional conducting channels in minimally twisted bilayer graphene
- Structural and electronic signatures of strain-tunable marginally twisted bilayer graphene
- Tunable lattice reconstruction and bandwidth of flat bands in magic-angle twisted bilayer graphene
- Local Optical Conductivity of Bilayer Graphene with Kink Potential
- Chiral electronic network within skyrmionic lattice on topological insulator surfaces
- Twisted bilayer graphene as a terahertz plasmonic crystal
- Coupled-wire descriptions of unconventional quantum states in twisted nanostructures
- Effects of spin-orbit coupling in a valley chiral kagomé network
- Network model and four-terminal transport in minimally twisted bilayer graphene
- Quasi-two-dimensional spin helix and magnon-induced singularity in twisted bilayer graphene