Collective modes of a helical liquid

Abstract

We study low energy collective modes and transport properties of the "helical metal" on the surface of a topological insulator. At low energies, electrical transport and spin dynamics at the surface are exactly related by an operator identity equating the electric current to the in-plane components of the spin degrees of freedom. From this relation it follows that an undamped spin wave always accompanies the sound mode in the helical metal -- thus it is possible to `hear' the sound of spins. In the presence of long range Coulomb interactions, the surface plasmon mode is also coupled to the spin wave, giving rise to a hybridized "spin-plasmon" mode. We make quantitative predictions for the spin-plasmon in ${\mathrm{Bi}}_2{\mathrm{Se}}_3$, and discuss its detection in a spin-grating experiment.

4 Pages, 2 Figures

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Cited by in corpus (123)

• Topological insulators and superconductors
• Topological Insulator Materials
• Dirac materials
• Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
• Control over topological insulator photocurrents with light polarization
• Plasmonics in Dirac systems: from graphene to topological insulators
• Spin and Charge Transport on the Surface of a Topological Insulator
• Observation of a warped helical spin-texture in Bi${}_2$Se${}_3$ from circular dichroism angle-resolved photoemission spectroscopy
• Ultrafast helicity control of surface currents in topological insulators with near-unity fidelity
• Selective probing of photo-induced charge and spin dynamics in the bulk and surface of a topological insulator
• Nonlinear optical probe of tunable surface electrons on a topological insulator
• Transport in three-dimensional topological insulators: theory and experiment
• Electrical injection and detection of spin-polarized currents in topological insulator Bi2Te2Se
• Double-layer graphene and topological insulator thin-film plasmons
• Chiral response of twisted bilayer graphene
• Topologically protected Dirac plasmons in graphene
• Photocurrent Response of Topological Insulator Surface States
• Dirac Spin-Orbit Torques at the Surface of Topological Insulators
• Parallel magnetic field driven quantum phase transition in a thin topological insulator film
• Current induced anisotropic magnetoresistance in topological insulator films
• Topological insulators are tunable waveguides for hyperbolic polaritons
• Plasmonic generation of spin currents
• Anomalous dressing of Dirac fermions in the topological surface state of Bi2Se3, Bi2Te3, and CuxBi2Se3
• Thin topological insulator film in a perpendicular magnetic field
• Topological insulator based spin valve devices: evidence for spin polarized transport of spin-momentum-locked topological surface states
• Superconductivity on the surface of topological insulators and in two-dimensional noncentrosymmetric materials
• Helical fluctuations in the Raman response of the topological insulator Bi2Se3
• Surface vibrational modes of the topological insulator Bi${}_2$Se${}_3$ observed by Raman spectroscopy
• Circular dichroism in angle-resolved photoemission spectroscopy of topological insulators
• Spin-charge separation of plasmonic excitations in thin topological insulators
• Collective modes in two- and three-dimensional electron systems with Rashba spin-orbit coupling
• Interplay between topological insulators and superconductors
• Collective excitations on a surface of topological insulator
• Plasmonics in topological insulators: Spin-charge separation, the influence of the inversion layer, and phonon-plasmon coupling
• Surface collective modes in the topological insulators Bi${}_2$Se${}_3$ and Bi${}_{0.5}$Sb${}_{1.5}$Te${}_{3-x}$Se${}_x$
• Low-Temperature and High-Energy-Resolution Laser Photoemission Spectroscopy
• Anomalous Acoustic Plasmon Mode from Topologically Protected States
• Spin and Charge Structure of the Surface States in Topological Insulators
• Chiral Spin Mode on the Surface of a Topological Insulator
• Plasmon mass and Drude weight in strongly spin-orbit-coupled 2D electron gases
• Friedel Oscillation-Induced Energy Gap Manifested as Transport Asymmetry at Monolayer-Bilayer Graphene Boundaries
• Stationary phase approximation approach to the quasiparticle interference on the surface of a strong topological insulator
• Dynamic current-current susceptibility in 3D Dirac and Weyl semimetals
• Amperean Pairing at the Surface of Topological Insulators
• Oscillatory surface dichroism of an insulating topological insulator Bi2Te2Se
• Observation of Chiral Surface Excitons in a Topological Insulator Bi${}_2$Se${}_3$
• Proposal for a Topological Plasmon Spin Rectifier
• Gauge-field fluctuations in 3D topological Mott insulators
• Engineering topological surface-states: HgS, HgSe and HgTe
• Plasmon modes of a massive Dirac plasma, and their superlattices
• Anomalous behavior in the phonon dispersion of the (001) surface of Bi${}_2$Te${}_3$ determined from helium atom-surface scattering measurements
• Propagation of Surface Plasmon Polaritons in Thin Films of Topological Insulators
• Models of three-dimensional fractional topological insulators
• Dynamical polarizability, screening, and plasmons in one, two, and three dimensional massive Dirac systems
• Chiral Spin Waves in Fermi Liquids with Spin-Orbit Coupling
• The generalized gradient approximation kernel in time-dependent density functional theory
• Linear response theory of interacting topological insulators
• Coherent control of optical injection of spin and currents in topological insulators
• Gate-Variable Mid-Infrared Optical Transitions in a $(B{i}_{1-x}S{b}_x{)}_{2}T{e}_3$ Topological Insulator
• Electromagnetic spin polarization on the surface of topological insulator
• Landau Level Spectroscopy of Dirac Electrons in a Polar Semiconductor with Giant Rashba Spin Splitting
• Theory of a chiral Fermi liquid: general formalism
• Tunable Intrinsic Plasmons due to Band Inversion in Topological Materials
• Surface plasmon polaritons in topological insulator
• Reading charge transport from spin dynamics on the surface of topological insulator
• Giant magnetoresistance in the junction of two ferromagnets on the surface of diffusive topological insulators
• Plasmons in spin polarized graphene: a new way to measure spin polarization
• Coulomb-driven organization and enhancement of spin-orbit fields in collective spin excitations
• Collective modes of spin-orbit coupled Fermi gases in the repulsive regime
• Charge-spin response and collective excitations in Weyl semimetals
• Magnon-Plasmon Hybridization Mediated by Spin-Orbit Interaction in Magnetic Materials
• Microscopic derivation of magnon spin current in a topological insulator/ferromagnet heterostructure
• Connecting electron and phonon spectroscopy data to consistently determine quasiparticle-phonon coupling on the surface of topological insulators
• Surface plasmons in doped topological insulators
• In-Plane Magnetoresistance on the Surface of Topological Insulator
• Surface plasmons in a semi-bounded massless Dirac plasma
• Tunable Surface Plasmon Polaritons in a Weyl Semimetal Waveguide
• Plasmon-polaron of the topological metallic surface states
• Polaritonic Quantum Matter
• Interface symmetry and spin control in topological insulator-semiconductor heterostructures
• Femtosecond Laser-induced Crystallization of Amorphous Sb2Te3 film and Coherent Phonon Spectroscopy Characterization and Optical Injection of Electron Spins
• Spin and charge transport induced by a twisted light beam on a surface of a topological insulator
• Topological spin-plasma waves
• Topological insulator ribbon: Surface states and dynamical response
• Giant Collective Spin-Orbit Field in a Quantum Well: Fine Structure of Spin Plasmons
• Plasmons in anisotropic Dirac systems
• Spin-momentum locking from topological quantum chemistry: applications to multifold fermions
• Gate-defined coupled quantum dots in topological insulators
• Topological transport in Dirac electronic systems: A concise review
• Landau theory of helical Fermi liquids
• Topologically Nontrivial Interband Plasmons in Type-II Weyl Semimetal MoTe${}_2$
• Plasmons in a two-dimensional nonsymmorphic nodal-line semimetal
• Theory of anomalous optical properties of bulk Rashba conductor
• Controlling surface charge and spin density oscillations by Dirac plasmon interaction in thin topological insulators
• Plasmons in topological insulator cylindrical nanowires
• Chirality and intrinsic dissipation of spin modes in two-dimensional electron liquids
• Collective spin modes in Fermi liquids with spin-orbit coupling
• Quantum transport in 3D Weyl semimetals: Is there a metal-insulator transition?
• Electrical tuning of the magnetic properties of 2D magnets: the case of ${\mathrm{Cr}}_2{\mathrm{Ge}}_2{\mathrm{Te}}_6$
• Relativistic response and novel spin-charge plasmon at the Tl/Si(111) surface
• Determination of the quantized topological magneto-electric effect in topological insulators from Rayleigh scattering
• Surface plasmon polaritons in a waveguide composed of Weyl semimetals with different symmetries
• Plasmon modes in the magnetically doped Single Layer and Multilayers of Helical Metals
• Charge-pseudospin coupled diffusion in semi-Dirac graphene: pseudospin assisted valley transport
• Electronic properties of the Dirac and Weyl systems with first- and higher-order dispersion in non-Fermi-liquid picture
• Spin-orbit interaction enabled electronic Raman scattering from charge collective modes
• Collective modes in a Dirac insulator with short range interactions
• Plasmons in single- and double-component helical liquids: Application to two-dimensional topological insulators
• The anomalous spin texture as the probe for interactions in $B{i}_{2-y}S{b}_{y}S{e}_{x}T{e}_{3-x}$
• Topological Insulator Metamaterial with Giant Circular Photogalvanic Effect
• Dynamical spin-spin susceptibility of Silicene
• Electromagnon on the Surface of Magnetic Topological Insulator
• Collective excitations of a system of coupled relativistic and non-relativistic two-dimensional electron gases
• Spin-orbit interaction induced singularity of the charge density relaxation propagator
• Weak-localization approach to a 2D electron gas with a spectral node
• Ubiquity of the spin-orbit induced magnon nonreciprocity in ultrathin ferromagnets
• Control of 2D plasmons in the topological insulator Bi2Se3 with highly crystalline C60 overlayers
• Gapless chiral excitons in thin films of topological insulators
• Hydrodynamic theory of surface excitations of three-dimensional topological insulators
• Current response of a topological insulator to a static Zeeman field
• Surface plasmons on a thin film topological insulator
• Intertwined geometries in collective modes of two dimensional Dirac fermions
• Equatorial magnetoplasma waves