Surface phonon propagation in topological insulators

Abstract

The effect of helical Dirac states on surface phonons in a topological insulators is investigated. Their coupling is derived in the continuum limit by assuming displacement dependent Dirac cones. The resulting renormalisation of sound velocity and attenuation and its dependence on chemical potential and wave vector is calculated. At finite wave vectors a Kohn anomaly in the renormalized phonon frequency is caused by intraband-transitions. It appears at wave vectors q<2k_F due to a lack of backscattering for helical Dirac electrons. The wave vector and chemical potential dependence of this anomaly is calculated.

6 pages, 3 figures, to appear in Phys. Rev. B

References in corpus (6)

• Topological Insulators with Inversion Symmetry
• Gate-Voltage Control of Chemical Potential and Weak Anti-localization in Bismuth Selenide
• Observation of topological order in a Superconducting doped topological insulator (based on the Bi2Se3 class)
• Strong surface scattering in ultrahigh mobility Bi2Se3 topological insulator crystals
• First Principles Studies on 3-Dimentional Strong Topological Insulators: Bi2Te3, Bi2Se3 and Sb2Te3
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Cited by in corpus (12)

• Phonon-induced topological transitions and crossovers in Dirac materials
• Interaction of Phonons and Dirac Fermions on the Surface of Bi2Se3: A Strong Kohn Anomaly
• Electron-phonon scattering in topological insulator thin films
• Electron-phonon scattering in topological insulators
• Many-body effects and possible superconductivity in the 2D metallic surface states of 3D topological insulators
• Migdal's theorem and electron-phonon vertex corrections in Dirac materials
• Acoustic phonon dynamics in thin-films of the topological insulator Bi2Se3
• Connecting electron and phonon spectroscopy data to consistently determine quasiparticle-phonon coupling on the surface of topological insulators
• Phase diagram and phonon-induced backscattering in topological insulator nanowires
• The anomalous spin texture as the probe for interactions in $B{i}_{2-y}S{b}_{y}S{e}_{x}T{e}_{3-x}$
• Propagation of acoustic edge waves in graphene under quantum Hall effect
• Localized interfacial Phonon Modes at the Electronic Axion Domain Wall