Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session S48: Electrons, Phonons, Electron-Phonon Scattering, and Phononics V
8:00 AM–11:00 AM,
Thursday, March 17, 2022
Room: McCormick Place W-471A
Sponsoring Units: DCOMP DMP
Chair: Chris Marianetti, Columbia University
Abstract: S48.00005 : Coherent state representation of lattice vibrations and its application to electron-phonon interaction*
9:12 AM–9:24 AM
However, as the lattice vibrations can be treated as a classical field, it is natural to choose a coherent state, instead of a phonon Fock state, to describe lattice vibrations. In this picture, the electron scattering by the lattice vibrations can be explained without phonon creation and annihilation like an impurity scattering. It turned out that the calculated resistivity in this way gives the same result to the conventional theory up to a factor of order unity. Also, Anderson localization of an electron by the deformation potential was observed. Using the coherent state representation helps understanding electron coherence effects such as Anderson localization and Shubnikov-de Haas effect, which was not naturally described in the incoherent Boltzmann transport theory.
*NSF the Center for Integrated Quantum Materials (CIQM) Grant No. DMR-1231319.
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