The extended vs standard Holstein model; results in two and three dimensions

Abstract

We present numerically exact solutions to the problem of a single electron interacting through a long range interaction with optical phonons in two and three dimensions. Comparisons are made with results for the standard Holstein model, and with perturbative approaches from both the weak coupling and strong coupling sides. We find, in agreement with earlier work, that the polaron effective mass increases (decreases) in the weak (strong) coupling regime, respectively. However, in two dimensions, the decrease in effective mass still results in too large an effective mass to be relevant in realistic models of normal metals. In three dimensions the decrease can be more relevant, but exists only over a very limited range of coupling strengths.

9 pages, 8 figures

References in corpus (2)

• Ground state properties of the Holstein model near the adiabatic limit
• The polaron-like nature of an electron coupled to phonons

Cited by in corpus (5)

• Bipolaronic high-temperature superconductivity
• Discontinuous polaron transition in a two-band model
• Bond Bipolarons: Sign-free Monte Carlo Approach
• One-dimensional Hubbard-Holstein model with finite range electron-phonon coupling
• The Effect of Next-Nearest Neighbour Hopping in the One, Two, and Three Dimensional Holstein Model