Phase diagram and phonon-induced backscattering in topological insulator nanowires

Abstract

We present an effective low-energy theory of electron-phonon coupling effects for clean cylindrical topological insulator nanowires. Acoustic phonons are modelled by isotropic elastic continuum theory with stress-free boundary conditions. We take into account the deformation potential coupling between phonons and helical surface Dirac fermions, and also include electron-electron interactions within the bosonization approach. For half-integer values of the magnetic flux ${\Phi }_B$ along the wire, the low-energy theory admits an exact solution since a topological protection mechanism then rules out phonon-induced $2k_F$-backscattering processes. We determine the zero-temperature phase diagram and identify a regime dominated by superconducting pairing of surface states. As example, we consider the phase diagram of HgTe nanowires. We also determine the phonon-induced electrical resistivity, where we find a quadratic dependence on the flux deviation $\delta {\Phi }_B$ from the nearest half-integer value.

arXiv comment14 pages, 1 figure; published version

References in corpus (53)

• Topological Insulators
• Topological insulators and superconductors
• Topological Insulators with Inversion Symmetry
• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological Insulator Materials
• Bosonization and Strongly Correlated Systems
• Model Hamiltonian for Topological Insulators
• Majorana Fermions in Proximity-coupled Topological Insulator Nanowires
• Measurement of intrinsic Dirac fermion cooling on the surface of a topological insulator Bi${}_2$Se${}_3$ using time- and angle-resolved photoemission spectroscopy
• Aharonov-Bohm oscillations in disordered topological insulator nanowires
• Majorana Zero Modes in 1D Quantum Wires Without Long-Ranged Superconducting Order
• Quantum interference and Aharonov-Bohm oscillations in topological insulators
• Anomalous Aharonov-Bohm conductance oscillations from topological insulator surface states
• Measurement of an Exceptionally Weak Electron-Phonon Coupling on the Surface of the Topological Insulator Bi${}_2$Se${}_3$ Using Angle-Resolved Photoemission Spectroscopy
• Electrical detection of the spin polarization due to charge flow in the surface state of the topological insulator Bi_1.5 Sb_0.5 Te_1.7 Se_1.3
• Electron-phonon Coupling on the Surface of the Topological Insulator Bi2Se3: Determined from Surface Phonon Dispersion Measurements
• Topological insulators in three dimensions from spontaneous symmetry breaking
• Interaction-induced criticality in Z_2 topological insulators
• Distinguishing bulk and surface electron-phonon coupling in the topological insulator Bi2Se3 using time-resolved photoemission spectroscopy
• One-dimensional helical transport in topological insulator nanowire interferometers
• Phonon induced backscattering in helical edge states
• Aharonov-Bohm Oscillations in a Quasi-Ballistic 3D Topological Insulator Nanowire
• Stability of the Bi2Se3(111) topological state: electron-phonon and -defect scattering
• Stability of Majorana Fermions in Proximity-Coupled Topological Insulator Nanowires
• Phonon-induced topological transitions and crossovers in Dirac materials
• Interaction of Phonons and Dirac Fermions on the Surface of Bi2Se3: A Strong Kohn Anomaly
• Helical Luttinger liquid in topological insulator nanowires
• Quasi-ballistic transport of Dirac fermions in a Bi2Se3 nanowire
• Intrinsic Electron-Phonon Resistivity in Bi2Se3 in the Topological Regime
• Electron-phonon scattering in topological insulator thin films
• Electron-phonon scattering in topological insulators
• Probing Spin Helical Surface States in Topological HgTe Nanowires
• Wentzel-Bardeen singularity and phase diagram for interacting electrons coupled to acoustic phonons in one dimension
• Acoustic phonon exchange, attractive interactions, and the Wentzel-Bardeen singularity in single-wall nanotubes
• Anomalous dressing of Dirac fermions in the topological surface state of Bi2Se3, Bi2Te3, and CuxBi2Se3
• Majorana qubits in topological insulator nanoribbon architecture
• Fingerprints of Inelastic Transport at the Surface of the Topological Insulator Bi2Se3: Role of Electron-Phonon Coupling
• Evidence of reduced surface electron-phonon scattering in the conduction band of Bi_{2}Se_{3} by non-equilibrium ARPES
• Many-body effects and possible superconductivity in the 2D metallic surface states of 3D topological insulators
• Electron-Phonon Coupling and Surface Debye Temperature of Bi${}_2$Te${}_3$(111) from Helium Atom Scattering
• Anomalous Acoustic Plasmon Mode from Topologically Protected States
• Acoustic phonon dynamics in thin-films of the topological insulator Bi2Se3
• Electron-phonon interaction on the surface of a 3D topological insulator
• Energy spectrum and broken spin-surface locking in topological insulator quantum dots
• Effect of Electron-electron Interaction on Surface Transport in Three-Dimensional Topological Insulators
• Hot-carrier transport and spin relaxation on the surface of topological insulator
• Surface phonon propagation in topological insulators
• Connecting electron and phonon spectroscopy data to consistently determine quasiparticle-phonon coupling on the surface of topological insulators
• Persistent Coherence and Spin-Polarization of Topological Surface States on Topological Insulators
• Duality of Weak and Strong Scatterer in Luttinger liquid Coupled to Massless Bosons
• Fundamental limits to helical edge conductivity due to spin-phonon scattering
• Spin-orbit coupling and spectral function of interacting electrons in carbon nanotubes
• High-field charge transport on the surface of Bi${}_2$Se${}_3$

Cited by in corpus (5)

• Floquet metal to insulator phase transitions in semiconductor nanowires
• Phonon-induced magnetoresistivity of Weyl semimetal nanowires
• Density matrix of electrons coupled to phonons and the electron-phonon entanglement content of excited states
• Entanglement of electrons and the lattice in a Luttinger system
• Tunneling into a Luttinger-liquid coupled to acoustic phonons out of equilibrium