Symmetry of electron bands in graphene: (nearly) free electron vs. tight-binding
arXiv:2009.02356 · doi:10.1002/pssb.202000504
Abstract
We present the symmetry labelling of all electron bands in graphene obtained by combining numerical band calculations and analytical analysis based on group theory. The latter was performed both in the framework of the (nearly) free electron model, or in the framework of the tight-binding model. The predictions about relative positions of the bands which can be made on the basis of each of the models just using the group theory (and additional simple qualitative arguments, if necessary) are complimentary.
arXiv commentpdflaTeX, 8+epsilon pages, 17 graphic files. References are added. As accepted for publication in pss(b)
References in corpus (22)
- The electronic properties of graphene
- Giant Phonon-induced Conductance in Scanning Tunneling Spectroscopy of Gate-tunable Graphene
- First-principles studies of water adsorption on graphene: The role of the substrate
- Wilson loop approach to fragile topology of split elementary band representations and topological crystalline insulators with time reversal symmetry
- Chemical Principles of Topological Semimetals
- Existence of bulk chiral fermions and crystal symmetry
- Group theory analysis of electrons and phonons in N-layer graphene systems
- Topology of Disconnected Elementary Band Representations
- Potential Energy Landscape for hot electrons in periodically nanostructured graphene
- Phonon mediated tunneling into graphene
- Accurate Tight-Binding Hamiltonians for 2D and Layered Materials
- Image potential states as quantum probe of graphene interfaces
- Scattering resonances in graphene
- Symmetry classification of energy bands in graphene
- Energy bands in graphene: Comparison between the tight-binding model and {\it ab initio} calculations
- Mapping Unoccupied Electronic States of Freestanding Graphene by Angle-Resolved Low-Energy Electron Transmission
- Formation of image-potential states at the graphene/metal interface
- Interplay between boundary conditions and Wilson's mass in Dirac-like Hamiltonians
- Simple and efficient LCAO basis sets for the diffuse states in carbon nanostructures
- Suppression of electron scattering resonances in graphene by quantum dots
- Electronic structure of graphene: (nearly) free electrons bands vs. tight-binding bands
- Phonon-assisted indirect transitions in angle-resolved photoemission spectra of graphite and graphene