Surface Green's functions and quasiparticle interference in Weyl semimetals

Abstract

We use the exact analytical technique introduced in Phys. Rev. B 101, 115405 to recover the surface Green's functions and the corresponding Fermi-arc surface states for various lattice models of Weyl semimetals. For these models we use the T-matrix formalism to calculate the quasiparticle interference patterns generated in the presence of impurity scattering. In particular, we consider the models introduced in Phys. Rev. B 93, 041109(R) (A) and Phys. Rev. Lett. 119, 076801 (B), and we find that, as opposed to observations previously obtained via joint density of states and spin-dependent scattering probability, the inter-arc scattering in the quasiparticle interference features is fully suppressed in model A, and very small in model B. Our findings indicate that these models may not correctly describe materials such as MoTe2, since for such materials inter-arc scattering is clearly visible experimentally, e.g., in Nature Phys. 12, 1105-1110 (2016). We also focus on the minimal models proposed by McCormick et al. in Phys. Rev. B 95, 075133, which indeed recover significant inter-arc scattering features.

References in corpus (25)

• Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
• Fermi-arc diversity on surface terminations of the magnetic Weyl semimetal Co3Sn2S2
• Landau Quantization and Quasiparticle Interference in the Three-Dimensional Dirac Semimetal Cd3As2
• Topological surface Fermi arcs in the magnetic Weyl semimetal Co${}_3$Sn${}_2$S${}_2$
• Quasiparticle interference of the Fermi arcs and surface-bulk connectivity of a Weyl semimetal
• Theory of Scanning Tunneling Microscopy Probe of Impurity States in a D-Wave Superconductor
• Atomic Scale Visualization of Quantum Interference on a Weyl Semimetal Surface by Scanning Tunneling Microscopy/Spectroscopy
• Effect of a single impurity on the local density of states in monolayer and bilayer graphene
• Visualizing "Fermi arcs" in the Weyl semimetal TaAs
• Minimal models for topological Weyl semimetals
• Quasi-particle interferences of the Weyl semimetals TaAs and NbP
• Atomic-scale visualization of quasiparticle interference on a type-II Weyl semimetal surface
• Universal signatures of Fermi arcs in quasiparticle interference on the surface of Weyl semimetals
• Quasiparticle interference on type-I and type-II Weyl semimetal surfaces: a review
• Direct observation of handedness-dependent quasiparticle interference in the two enantiomers of topological chiral semimetal PdGa
• Generic coexistence of Fermi arcs and Dirac cones on the surface of time-reversal invariant Weyl semimetals
• T-Matrix Formulation of Impurity Scattering in Correlated Systems
• Signatures of Weyl semimetals in quasiparticle interference
• Quasiparticle interference from magnetic impurities
• Quasiparticle Interference of Surface States in Type-II Weyl Semimetal WTe${}_2$
• Surface Green's functions and boundary modes using impurities: Weyl semimetals and topological insulators
• Imaging electronic states on topological semimetals using scanning tunneling microscopy
• Multiple magnetic impurities on surfaces: Scattering and quasiparticle interference
• Determining the spin-orbit coupling via spin-polarized spectroscopy of magnetic impurities
• Quasiparticle interference from different impurities on the surface of pyrochlore iridates: signatures of the Weyl phase

Cited by in corpus (6)

• 2D topological matter from a boundary Green's functions perspective: Faddeev-LeVerrier algorithm implementation
• Quasiparticle interference and spectral function of the UTe${}_2$ superconductive surface band
• Distinct quasiparticle interference patterns for surface impurity scattering on various Weyl semimetals
• Conductance oscillation in surface junctions of Weyl semimetals
• Surface states and quasiparticle interference in Bernal and rhombohedral graphite with and without trigonal warping
• General, Strong Impurity-Strength Dependence of Quasiparticle Interference