Stationary phase approximation approach to the quasiparticle interference on the surface of a strong topological insulator

Abstract

Topological insulators have surface states with unique spin-orbit coupling. With impurities on the surface, the quasiparticle interference pattern is an effective way to reveal the topological nature of the surface states, which can be probed by the scanning tunneling microscopy. In this paper, we present a general analytic formulation of the local density of states using the stationary phase approximation. The power laws of Friedel oscillations are discussed for a constant energy contour with a generic shape. In particular, we predict unique signature of magnetic impurities in comparison with nonmagnetic impurities for a surface state trapped in a "magnetic wall".

9 pages, 5 figures, 4 tables

References in corpus (21)

• Topological Insulators
• Topological insulators and superconductors
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• First observation of Spin-Momentum Helical Locking in Bi2Se3 and Bi2Te3, demonstration of Topological-Order at 300K and a realization of topological-transport-regime
• The quantum spin Hall effect and topological insulators
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• Hexagonal Warping Effects in the Surface States of Topological Insulator Bi${}_2$Te${}_3$
• Experimental demonstration of the topological surface states protected by the time-reversal symmetry
• Magnetic impurities on the surface of a topological insulator
• STM imaging of electronic waves on the surface of Bi${}_2$Te${}_3$: topologically protected surface states and hexagonal warping effects
• Spatial Fluctuations of Helical Dirac Fermions on the Surface of Topological Insulators
• Momentum-Resolved Landau-Level Spectroscopy of Dirac Surface State in Bi2Se3
• Impurity-induced states on the surface of 3D topological insulators
• Collective modes of a helical liquid
• Quasiparticle scattering in two dimensional helical liquid
• Quasiparticle Interference on the Surface of the Topological Insulator Bi${}_2$Te${}_3$
• Power-Law Decay of Standing Waves on the Surface of Topological Insulators
• Theory of quasiparticle interference on the surface of a strong topological insulator
• Scattering from Surface Step Edges in Strong Topological Insulators
• STM imaging of a bound state along a step on the surface of the topological insulator Bi${}_2$Te${}_3$
• Electronic structure near an impurity and terrace on the surface of a 3-dimensional topological insulator

Cited by in corpus (27)

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• Realizing gapped surface states in magnetic topological insulator MnBi${}_{2-x}$Sb${}_x$Te${}_4$
• Theory of quasiparticle interference in mirror symmetric 2D systems and its application to surface states of topological crystalline insulators
• Scanning tunneling spectroscopy and surface quasiparticle interference in models for the strongly correlated topological insulators SmB6 and PuB6
• Intra- and Interband Electron Scattering in the Complex Hybrid Topological Insulator Bismuth Bilayer on Bi${}_2$Se${}_3$
• Distinct topological crystalline phases in models for the strongly correlated topological insulator SmB6
• Inelastic Electron Tunneling Spectroscopy for Topological Insulators
• Surface states scattering from a step defect in topological insulator Bi_{2}Te_{3}
• Probing Dirac Fermion Dynamics in Topological Insulator Bi${}_2$Se${}_3$ Films with Scanning Tunneling Microscope
• Kondo holes in topological Kondo insulators: Spectral properties and surface quasiparticle interference
• Screening, Friedel oscillations and low-temperature conductivity in topological insulator thin films
• Velocity-determined anisotropic behaviors of RKKY interaction in 8-\textit{Pmmn} borophene
• Mesoscopic electron focusing in topological insulators
• Gapped Dirac cones and spin texture in thin film topological insulator
• Connection topology of step edge state bands at the surface of a three dimensional topological insulator
• Inelastic magnetic scattering effect on LDOS of topological insulators
• Scattering properties of the three-dimensional topological insulator Sb2Te3: Coexistence of topologically trivial and non-trivial surface states with opposite spin-momentum helicity
• Power law decay of local density of states oscillations near a line defect in a system with semi-Dirac points
• Selective generation and amplification of RKKY interactions by P-N interface
• Bound states and controllable currents on Topological Insulator surfaces with extended magnetic defects
• Local and global patterns in quasiparticle interference: a reduced response function approach
• Surface reconstruction in a tight-binding model for the topological Kondo insulator SmB6
• Numerical analysis of surface and edge states in slabs, stripes, rods and surface steps of topological insulators
• Experimental Observation of Bound States of 2D Dirac Electrons at Surface Steps of the Topological Insulator Bi${}_2$Se${}_3$
• Spin-polarized scanning tunneling microscopy measurement scheme for determining the quantum geometric tensor
• Local density of state oscillations in laterally heterostructured topological insulator-semiconductor systems