Electron motion in a Holstein molecular chain in an electric field

Abstract

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.

5 pages, 4 figures

References in corpus (4)

• Wannier-Stark resonances in optical and semiconductor superlattices
• Quantum Monte Carlo and variational approaches to the Holstein model
• Bloch oscillations of a soliton in a molecular chain
• Davydov's Solitons in a Homogeneous Nucleotide Chain

Cited by in corpus (6)

• Transient dynamics of a one-dimensional Holstein polaron under the influence of an external electric field
• A new type of localized fast moving electronic excitations in molecular chains
• Dependence of the nature of the Holstein polaron motion in a polynucleotide chain subjected to a constant electric field on the initial polaron state and the parameters of the chain
• Directed polaron propagation in linear polypeptides induced by intramolecular vibrations and external electric pulses
• Charge Motion along Polynucleotide Chains in a Constant Electric Field Depends on the Charge Coupling Constant with Chain Displacements
• Dynamics of Holstein polaron in a chain with thermal fluctuations