2010/12/23 by В.Д. Лахно, V. D. Lakhno, A. N. Korshunova +1
Engineering · Mathematics · Physics and Astronomy · #Bloch oscillations #Chain (unit) #Classical mechanics #Condensed matter physics #Dissipation #Electric field #Electron #Field (mathematics) #Mathematics #Mechanical and Optical Resonators #Molecular Junctions and Nanostructures #Physics #Polaron #Quantum electrodynamics #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #cond-mat.mes-hall #cond-mat.other
paper · pdf · doi:10.1140/epjb/e2010-10565-2
published as The European Physical Journal B, 79, 2, pp 147-151 (2011) · 5 pages, 4 figures
openalex publication_date 2010/12/23 · arxiv created 2013/04/03 · arxiv updated 2013/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A charge motion in an electric field in a Holstein molecular chain is modeled in the absence of dissipation. It is shown that in a weak electric field a Holstein polaron moves uniformly experiencing small oscillations of its shape. These oscillations are associated with the chain's discreteness and caused by the presence of Peierls-Nabarro potential there. The critical value of the electric field intensity at which the moving polaron starts oscillating at Bloch frequency is found. It is shown that the polaron can demonstrate Bloch oscillations retaining its shape. It is also shown that a breathing mode of Bloch oscillations can arise. In all cases the polaron motion along the chain is infinite.