Photoemission Angular Distribution Beyond the Single Wavevector Description of Photoelectron Final States

We develop a novel simulation procedure for angle-resolved photoemission spectroscopy (ARPES), where a photoelectron wave function is set to be an outgoing plane wave in a vacuum associated with the emitted photoelectron wave packet. ARPES measurements on the transition metal dichalcogenide $1T$-$\mathrm{Ti}\mathrm{S}_2$ are performed, and our simulations exhibit good agreement with experiments. Analysis of our calculated final state wave functions quantitatively visualizes that they include various waves due to the boundary condition and the uneven crystal potential. These results show that a more detailed investigation of the photoelectron final states is necessary to fully explain the photon-energy- and light-polarization-dependent ARPES spectra.Comment: 6+14 pages, 4+15 figure