Intravalley Multiple Scattering of Quasiparticles in Graphene

Abstract

We develop a theoretical description of intravalley scattering of quasiparticles in graphene from multiple short-range scatterers of size much greater than the carbon-carbon bond length. Our theory provides a method to rapidly calculate the Green's function in graphene for arbitrary configurations of scatterers. We demonstrate that non-collinear multiple scattering trajectories generate pseudospin rotations that alter quasiparticle interference, resulting in significant modifications to the shape, intensity, and pattern of the interference fringes in the local density of states (LDOS). We illustrate these effects via theoretical calculations of the LDOS for a variety of scattering configurations in single layer graphene. A clear understanding of impurity scattering in graphene is a step towards exploiting graphene's unique properties to build future devices.

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Cited by in corpus (10)

• Role of pseudospin in quasiparticle interferences in epitaxial graphene probed by high-resolution scanning tunneling microscopy
• Mie scattering analog in graphene: lensing, particle confinement, and depletion of Klein tunneling
• A Two-dimensional Dirac fermion microscope
• Molecular Collapse States in Elliptical Graphene/WSe2 Heterostructure Quantum Dots
• Electron dynamics in graphene with gate-defined quantum dots
• Dot-bound and dispersive states in graphene quantum dot superlattices
• Electronic Properties of $\alpha -{\mathcal{T}}_3$ Quantum Dots in Magnetic Fields
• Persistent Friedel oscillations in Graphene due to a weak magnetic field
• Resonant scattering of Dice quasiparticles on oscillating quantum dots
• Multiple scattering theory of quasiparticles on a topological insulator surface