Theory of quasiparticle interference on the surface of a strong topological insulator

Abstract

Electrons on the surface of a strong topological insulator, such as Bi2Te3 or Bi1-xSnx, form a topologically protected helical liquid whose excitation spectrum contains an odd number of massless Dirac fermions. A theoretical survey and classification is given of the universal features, observable by the ordinary and spin-polarized scanning tunneling spectroscopy, in the interference patterns resulting from the quasiparticle scattering by magnetic and non-magnetic impurities in such a helical liquid. Our results confirm the absence of backscattering from non-magnetic impurities observed in recent experiments and predict new interference features, uniquely characteristic of the helical liquid, when the scatterers are magnetic.

4 pages, 2 figures, 1 table. Version to appear in PRB/RC; Typos corrected

References in corpus (14)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• Experimental demonstration of the topological surface states protected by the time-reversal symmetry
• STM imaging of electronic waves on the surface of Bi${}_2$Te${}_3$: topologically protected surface states and hexagonal warping effects
• Exciton condensation and charge fractionalization in a topological insulator film
• Spectroscopic Fingerprint of Phase-Incoherent Superconductivity in the Cuprate Pseudogap State
• Quasiparticle scattering in two dimensional helical liquid
• Spin-charge Separated Solitons in a Topological Band Insulator
• Quasiparticle Interference on the Surface of the Topological Insulator Bi${}_2$Te${}_3$
• Spin Charge Separation in the Quantum Spin Hall State
• Quasiparticle interference patterns as a test for the nature of the pseudogap phase in the cuprate superconductors

Cited by in corpus (56)

• Topological insulators and superconductors
• An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
• Surface quantized anomalous Hall current and magneto-electric effect in magnetically disordered topological insulators
• Spatial Fluctuations of Helical Dirac Fermions on the Surface of Topological Insulators
• Transmission of topological surface states through surface barriers
• Photoemission Spectroscopy of Magnetic and Non-magnetic Impurities on the Surface of the Bi${}_2$Se${}_3$ Topological Insulator
• Superconducting Topological Surface States in Non-centrosymmetric Bulk Superconductor PbTaSe2
• Two-dimensional surface charge transport in topological insulators
• Measurement of an Exceptionally Weak Electron-Phonon Coupling on the Surface of the Topological Insulator Bi${}_2$Se${}_3$ Using Angle-Resolved Photoemission Spectroscopy
• Transport in three-dimensional topological insulators: theory and experiment
• Electric charging of magnetic textures on the surface of a topological insulator
• Strong potential impurities on the surface of a topological insulator
• Power-Law Decay of Standing Waves on the Surface of Topological Insulators
• Magnetic anisotropy effects on quantum impurities in superconducting host
• Imaging emergent heavy Dirac fermions of a topological Kondo insulator
• Z2 invariant protected bound states in topological insulators
• Quantum impurity on the surface of a topological insulator
• Subsurface impurities and vacancies in a three-dimensional topological insulator
• Kondo effect on the surface of 3D topological insulators: Signatures in scanning tunneling spectroscopy
• Stationary phase approximation approach to the quasiparticle interference on the surface of a strong topological insulator
• Generic coexistence of Fermi arcs and Dirac cones on the surface of time-reversal invariant Weyl semimetals
• Quasiparticle Interference Studies of Quantum Materials
• Large-Area and Transferred High-Quality Three-Dimensional Topological Insulator Bi2-xSbxTe3-ySey Ultrathin Film by Catalyst-Free Physical Vapor Deposition
• Realizing gapped surface states in magnetic topological insulator MnBi${}_{2-x}$Sb${}_x$Te${}_4$
• Ab initio study of $Z_2$ topological phases in perovskite (111) $({\text{SrTiO}}_3{)}_7/({\text{SrIrO}}_3{)}_2$ and $({\text{KTaO}}_3{)}_7/({\text{KPtO}}_3{)}_2$ multilayers
• Scanning tunneling spectroscopy and surface quasiparticle interference in models for the strongly correlated topological insulators SmB6 and PuB6
• Distinct topological crystalline phases in models for the strongly correlated topological insulator SmB6
• Magnetic adatom induced skyrmion-like spin texture in surface electron waves
• Theory of quasiparticle scattering interference on the surface of topological superconductors
• Finite-temperature spectra and quasiparticle interference in Kondo lattices: From light electrons to coherent heavy quasiparticles
• Multifractal nature of the surface local density of states in three-dimensional topological insulators with magnetic and nonmagnetic disorder
• Inelastic Electron Tunneling Spectroscopy for Topological Insulators
• Nontrivial interplay of strong disorder and interactions in quantum spin-Hall insulators doped with dilute magnetic impurities
• Surface states scattering from a step defect in topological insulator Bi_{2}Te_{3}
• Model Hamiltonian for topological Kondo insulator SmB6
• Persistent Coherence and Spin-Polarization of Topological Surface States on Topological Insulators
• Kondo holes in topological Kondo insulators: Spectral properties and surface quasiparticle interference
• Electronic states induced by nonmagnetic defects in two-dimensional topological insulators
• Revisiting Quasiparticle Scattering Interference in High-Temperature Superconductors: The Problem of Narrow Peaks
• Electronic standing waves on the surface of the topological insulator Bi2Te3
• Ab-initio Theory of Fourier-transformed Quasiparticle Interference Maps and Application to the Topological Insulator Bi${}_2$Te${}_3$
• Gapped Dirac cones and spin texture in thin film topological insulator
• Non-magnetic defects in the bulk of two-dimensional topological insulators
• Selection rules for quasiparticle interference with internal nonsymmorphic symmetries
• Inelastic magnetic scattering effect on LDOS of topological insulators
• Quasiparticle interference in altermagnets
• Quasiparticle Interference Patterns in a Topological Superconductor
• An STM perspective on hexaborides: Surface states of the Kondo insulator SmB${}_6$
• Elastic scattering of surface states on three-dimensional topological insulators
• Surface reconstruction in a tight-binding model for the topological Kondo insulator SmB6
• Local and global patterns in quasiparticle interference: a reduced response function approach
• Weyl semimetallic state with antiferromagnetic order in Rashba-Hubbard model
• Optical transitions in two-dimensional topological insulators with point defects
• Time-dependent potential impurity in topological insulator
• Distinct quasiparticle interference patterns for surface impurity scattering on various Weyl semimetals
• Miraging a Majorana