Surface state photoelectrons in topological insulators: Green’s function approach

Abstract

We compute the photoemission intensity and polarization for the surface states in topological insulators. Due to the chirality and linear energy dispersion the effective electron-photon coupling is normalized by the tunneling amplitude (τ) into the vacuum. We investigate a chiral Dirac Hamiltonian for different cases: helical, Zeeman and warping, allowing us to study spin textures. Using the Green's function formalism we obtain exact results for the emitted photoelectrons to second order in the laser field. The number of emitted photoelectrons is sensitive to the laser coherent state intensity whereas the photoelectron polarization is sensitive to the surface topology of electronic states and incoming photon polarization.

Weyl semimetals with a boundary at $z=0$ a photoemission study

“…The tunneling amplitude t(k z ) depends on the scalar product between the plane wave 1 √ L e ikzz and the localized state [10]) . The tunneling amplitude t(k z ) is given in terms of the dimensionless coupling constant ĝ and overlapping region d.…”

“…The y component of photon field is given by e y α=1,2 (θ, φ) see [10] with the two linear polarization α = 1, 2 are orthogonal to the incident photon propagation direction p | p| = sin(θ) cos(φ), sin(θ) sin(φ), cos(θ) . ¯ is the dielectric constant and c is the light velociy.…”