Nonequilibrium dynamics of the Holstein polaron driven by an external electric field

Lev Vidmar, Janez Bonča, Marcin Mierzejewski, Peter Prelovšek, and Stuart A. Trugman
Phys. Rev. B 83, 134301 – Published 5 April 2011; Erratum Phys. Rev. B 88, 179901 (2013)

Abstract

This work represents a fundamental study of a Holstein polaron in one dimension driven away from the ground state by a constant electric field. Taking fully into account quantum effects, we follow the time evolution of the system from its ground state as the constant electric field is switched on at t=0 until it reaches a steady state. At weak electron-phonon coupling (EP), the system experiences damped Bloch oscillations (BO’s) characteristic for a noninteracting electron band. An analytic expression of the steady-state current is proposed in terms of weak EP coupling and large electric field. For moderate values of EP coupling, the oscillations are almost critically damped and the system reaches the steady state after a short time. In the strong-coupling limit, weakly damped BO’s, consistent with nearly adiabatic evolution within the polaron band, persist up to extremely large electric fields. A traveling polaron under the influence of the electric field leaves behind a trail of phonon excitations absorbing the excess energy gained from the electric field. The shape of the traveling polaron is investigated in detail.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 8 January 2011

DOI:https://doi.org/10.1103/PhysRevB.83.134301

©2011 American Physical Society

Erratum

Erratum: Nonequilibrium dynamics of the Holstein polaron driven by an external electric field [Phys. Rev. B 83, 134301 (2011)]

Lev Vidmar, Janez Bonča, Marcin Mierzejewski, Peter Prelovšek, and Stuart A. Trugman
Phys. Rev. B 88, 179901 (2013)

Authors & Affiliations

Lev Vidmar1, Janez Bonča1,2, Marcin Mierzejewski1,3, Peter Prelovšek1,2, and Stuart A. Trugman4

  • 1J. Stefan Institute, 1000 Ljubljana, Slovenia
  • 2Faculty of Mathematics and Physics, University of Ljubljana, 1000 Ljubljana, Slovenia
  • 3Institute of Physics, University of Silesia, 40-007 Katowice, Poland
  • 4Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 83, Iss. 13 — 1 April 2011

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×