Seminar über aktuelle Fragen zur Dynamik komplexer Fluide: Numerical study of the nonequilibrium dynamics of 1-D electron-phonon systems

Seminar über aktuelle Fragen zur Dynamik komplexer Fluide

  • Datum: 12.04.2019
  • Uhrzeit: 10:15 - 11:15
  • Vortragende(r): Dr. Christoph Brockt
  • Leibniz Universität Hannover
  • Ort: Max-Planck-Institut für Dynamik und Selbstorganisation (MPIDS)
  • Raum: SR 0.77
  • Gastgeber: MPIDS/DCF
  • Kontakt:
In this talk I present a numerical method, which is optimized for the time evolution of one-dimensional lattice systems with large local Hilbert spaces. This method extends the time-evolving block-decimation (TEBD) algorithm to include a local basis optimization (LBO). To demonstrate the advantages of this method, the TEBD-LBO is applied to electron-phonon (e-p) systems, that are based on the Holstein model.
First, the energy transfer from a highly excited electron to the phononic degrees offreedom on a small chain is studied. Then, long perfectly conducting leads without coupling to phonons are attached on both sides of the small chain. In this scenario the scattering of an electronic wave packet by the e-p coupled structure is investigated. This system features resonance effects in the transmission and reflection at the impurity, permanent energy transfer to the phonons, which results in a reduction of the velocity, and mechanisms, that lead to self-trapping of the electron on the e-p coupled structure.
Zur Redakteursansicht