Electronic structure calculations of twisted multi-layer graphene superlattices
arXiv:2001.11633 · doi:10.1088/2053-1583/ab8f62
Abstract
Quantum confinement endows two-dimensional (2D) layered materials with exceptional physics and novel properties compared to their bulk counterparts. Although certain two- and few-layer configurations of graphene have been realized and studied, a systematic investigation of the properties of arbitrarily layered graphene assemblies is still lacking. We introduce theoretical concepts and methods for the processing of materials information, and as a case study, apply them to investigate the electronic structure of multi-layer graphene-based assemblies in a high-throughput fashion. We provide a critical discussion of patterns and trends in tight binding band structures and we identify specific layered assemblies using low-dispersion electronic bands as indicators of potentially interesting physics like strongly correlated behavior. A combination of data-driven models for visualization and prediction is used to intelligently explore the materials space. This work more generally aims to increase confidence in the combined use of physics-based and data-driven modeling for the systematic refinement of knowledge about 2D layered materials, with implications for the development of novel quantum devices.
arXiv comment12 pages, 7 figures. 2D Mater. (2020)
References in corpus (24)
- Van der Waals heterostructures
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- 2D materials and van der Waals heterostructures
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Moire bands in twisted double-layer graphene
- Two-dimensional materials from high-throughput computational exfoliation of experimentally known compounds
- AFLOW: An automatic framework for high-throughput materials discovery
- The Computational 2D Materials Database: High-Throughput Modeling and Discovery of Atomically Thin Crystals
- AiiDA: Automated Interactive Infrastructure and Database for Computational Science
- Lattice relaxation and energy band modulation in twisted bilayer graphenes
- Twistronics: Manipulating the Electronic Properties of Two-dimensional Layered Structures through their Twist Angle
- Correlated states in twisted double bilayer graphene
- Identifying structural flow defects in disordered solids using machine learning methods
- Accelerating Photovoltaic Materials Development via High-Throughput Experiments and Machine-Learning-Assisted Diagnosis
- Relaxation and Domain Formation in Incommensurate 2D Heterostructures
- An exact continuum model for low-energy electronic states of twisted bilayer graphene
- Magic Angle Hierarchy in Twisted Graphene Multilayers
- Applying machine learning techniques to predict the properties of energetic materials
- \textit{Ab-initio} Tight-Binding Hamiltonian for Transition Metal Dichalcogenides
- Theory of correlated insulating behaviour and spin-triplet superconductivity in twisted double bilayer graphene
- Electronic Structure Theory of Weakly Interacting Bilayers
- Coexistence of ultraheavy and ultrarelativistic Dirac quasiparticles in sandwiched trilayer graphene
- Electronic Properties of Twisted Trilayer Graphene
- Twists and The Electronic Structure of Graphitic Materials
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- Effect of bilayer stacking on the atomic and electronic structure of twisted double bilayer graphene
- Magic-Angle Twisted Symmetric Trilayer Graphene as Topological Heavy Fermion Problem
- Multi-scale lattice relaxation in general twisted trilayer graphenes
- Moire Band Structures of the Double twisted Few Layer Graphene
- Computational Design of Moiré Assemblies Aided by Artificial Intelligence
- Flat bands, electron interactions and magnetic order in magic-angle mono-trilayer graphene
- Dirac Fermion Cloning, Moir Flat Bands and Magic Lattice Constants in Epitaxial Monolayer Graphene
- Dirac Magic and Lifshitz Transitions in AA-Stacked Twisted Multilayer Graphene
- Doubled Moiré Flat Bands in Double-twisted Few Layer Graphite
- Kekulé spirals and charge transfer cascades in twisted symmetric trilayer graphene
- Progress on band structure engineering of twisted bilayer and two-dimensional moiré heterostructures
- Topological Mixed Valence Model in Magic-Angle Twisted Bilayer Graphene
- LAN -- A materials notation for 2D layered assemblies
- Moiré Band Engineering in Twisted Trilayer WSe2
- Emergence of intrinsically isolated flat bands and their topology in fully relaxed twisted multi-layer graphene
- Renormalized Magic Angles in Asymmetric Twisted Graphene Multilayers
- A New Era of Quantum Materials Mastery and Quantum Simulators In and Out of Equilibrium
- Review of the tight-binding method applicable to the properties of moiré superlattices
- Perpendicular electronic transport and moiré-induced resonance in twisted interfaces of three-dimensional graphite
- Electronic properties of twisted multilayer graphene