Relevant coherent states method for the quantum adiabatic dynamics of lattice-coupled charge carriers

Abstract

A new numerical method is proposed for determining the low-frequency dynamics of the charge carrier coupled to the deformable quantum lattice. As an example, the polaron band structure is calculated for the one-dimensional Holstein model. The adiabatic limit on the lattice, which cannot be reached by other approaches, is investigated. In particular, an accurate description is obtained of the crossover between quantum small adiabatic polarons, pinned by the lattice, and large adiabatic polarons, moving along the continuum as classical particles. It is shown how the adiabatic contributions to the polaron dispersion, involving spatial correlations over multiple lattice sites, can be treated easily in terms of coherent states.

6 pages, 2 figures

References in corpus (7)

• The Holstein Polaron
• Effect of electron-phonon interaction range on lattice polaron dynamics: a continuous-time quantum Monte Carlo study
• Small Bipolarons in the 2-dimensional Holstein-Hubbard Model. I The Adiabatic Limit
• Calculation of excited polaron states in the Holstein model
• Variational study of the Holstein polaron
• Polaron features of the one-dimensional Holstein Molecular Crystal Model
• Quantum adiabatic polarons by translationally invariant perturbation theory

Cited by in corpus (7)

• Polaron dynamics with a multitude of Davydov D${}_2$ trial states
• Polarons and slow quantum phonons
• Phase diagram of the Holstein polaron in one dimension
• Emergence of states in the phonon spectral function of the Holstein polaron below and above the one-phonon continuum
• Barrier crossing to the small Holstein polaron regime
• Diagrammatic content of the DMFT for the Holstein polaron problem in finite dimensions
• Bipolarons and polarons in the Holstein-Hubbard model: Analogies and differences