Surface states and quasiparticle interference in Bernal and rhombohedral graphite with and without trigonal warping

Abstract

We use an exact analytical technique [Phys. Rev. B \textbf{101}, 115405 (2020), Phys. Rev. B \textbf{102}, 165117 (2020)] to recover the surface Green's functions for Bernal (ABA) and rhombohedral (ABC) graphite. For rhombohedral graphite we recover the predicted surface flat bands. For Bernal graphite we find that the surface state spectral function is similar to the bilayer one, but the trigonal warping effects are enhanced, and the surface quasiparticles have a much shorter lifetime. We subsequently use the T-matrix formalism to study the quasiparticle interference patterns generated on the surface of semi-infinite ABA and ABC graphite in the presence of impurity scattering. We compare our predictions to experimental STM data of impurity-localized states on the surface of Bernal graphite which appear to be in a good agreement with our calculations.

arXiv comment13 pages, 17 figures

References in corpus (36)

• Electric Field Effect in Atomically Thin Carbon Films
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Electronic Properties of Disordered Two-Dimensional Carbon
• How to detect fluctuating order in the high-temperature superconductors
• The electronic properties of bilayer graphene
• Electron scattering on microscopic corrugations in graphene
• High-temperature surface superconductivity in topological flat-band systems
• Band Structure of ABC-Stacked Graphene Trilayers
• A new transfer technique for high mobility graphene devices on commercially available hexagonal boron nitride
• Friedel oscillations, impurity scattering and temperature dependence of resistivity in graphene
• Local defects and ferromagnetism in graphene layers
• Impurity States in Graphene
• Long range coherent magnetic bound states in superconductors
• Mechanical cleaning of graphene
• Theory of Scanning Tunneling Microscopy Probe of Impurity States in a D-Wave Superconductor
• Electronic phase separation in topological surface states of rhombohedral graphite
• Stacking-symmetry governed second harmonic generation in graphene trilayers
• Effect of a single impurity on the local density of states in monolayer and bilayer graphene
• Influence of Gap Extrema on the Tunneling Conductance Near an Impurity in an Anisotropic Superconductor
• Quasiparticle scattering and local density of states in graphite
• Impurity effects in a two--dimensional system with Dirac spectrum
• Measuring the Berry phase of graphene from wavefront dislocations in Friedel oscillations
• Electron waves in chemically substituted graphene
• Experimental approval of the extended flat bands and gapped subbands in rhombohedral multilayer graphene
• Dimensional reduction, quantum Hall effect and layer parity in graphite films
• Zero-bias anomaly in the tunneling density of states of graphene
• The complete impurity scattering formalism in graphene
• T-Matrix Formulation of Impurity Scattering in Correlated Systems
• Friedel oscillations at the surfaces of rhombohedral $N$-layer graphene
• Visualization and Manipulation of Bilayer Graphene Quantum Dots with Broken Rotational Symmetry and Nontrivial Topology
• Determination of the trigonal warping orientation in Bernal-stacked bilayer graphene via scanning tunneling microscopy
• Surface Green's functions and boundary modes using impurities: Weyl semimetals and topological insulators
• Direct Visualization of Native Defects in Graphite and Their Effect on the Electronic Properties of Bernal-Stacked Bilayer Graphene
• Friedel oscillations at the Dirac-cone-merging point in anisotropic graphene
• Surface Green's functions and quasiparticle interference in Weyl semimetals
• Impurities and electronic localization in graphene bilayers