Dirac equation in curved spacetime: the role of local Fermi velocity
arXiv:2301.12952 · doi:10.1140/epjp/s13360-023-04677-9
Abstract
We study the motion of charge carriers in curved Dirac materials, in the presence of a local Fermi velocity. An explicit parameterization of the latter emerging quantity for a nanoscroll cylindrical geometry is also provided, together with a discussion of related physical effects and observable properties.
25 pages, 3 figures
References in corpus (37)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Substrate-induced band gap opening in epitaxial graphene
- Analogs of quantum Hall effect edge states in photonic crystals
- Colloquium: The transport properties of graphene: An introduction
- Unusual Microwave Response of Dirac Quasiparticles in Graphene
- Ultrafast Photoluminescence from Graphene
- Fermi velocity engineering in graphene by substrate modification
- Multiply Folded Graphene
- Symmetry-based approach to electron-phonon interactions in graphene
- Electronic properties of graphene: a perspective from scanning tunneling microscopy and magneto-transport
- Effects of topological defects and local curvature on the electronic properties of planar graphene
- Charge inhomogeneities due to smooth ripples in graphene sheets
- Dirac Fermion Confinement in Graphene
- Making Massless Dirac Fermions from Patterned Two-Dimensional Electron Gases
- Electronic properties of curved graphene sheets
- Scattering in one-dimensional heterostructures described by the Dirac equation
- Position Dependent Mass Oscillators and Coherent States
- Evidence for Superlattice Dirac Points and Space-dependent Fermi Velocity in Corrugated Graphene Monolayer
- Pseudo-magnetic field in curved graphene
- Massless Dirac fermions in two dimensions: Confinement in nonuniform magnetic fields
- Effect of external conditions on the structure of scrolled graphene edges
- Dunkl-Graphene in constant magnetic field
- Negative-curvature spacetime solutions for graphene
- Localization of massless Dirac particles via spatial modulations of the Fermi velocity
- Indirect band gap in graphene from modulation of the Fermi velocity
- -Extended Supergravity, Unconventional SUSY and Graphene
- A generalized non-Hermitian oscillator Hamiltonian, N-fold supersymmetry and position-dependent mass models
- Graphene, Dirac equation and analogue gravity
- Effective magnetic field induced by inhomogeneous Fermi velocity in strained honeycomb structures
- Bound state in continuum like solutions in one-dimensional hetero-structures
- Electronic transport in two-dimensional strained Dirac materials under multi-step Fermi velocity barrier: transfer matrix method for supersymmetric systems
- Position-dependent mass Dirac equation and local Fermi velocity
- Numerical quasi-conformal transformations for electron dynamics on strained graphene surfaces
- Curvature-induced pseudogauge fields from time-dependent geometries in graphene
- Trapping charge carriers in low-dimensional Dirac materials
- So (2, 1) algebra, local Fermi velocity, and position-dependent mass Dirac equation
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