Ground state properties of the Holstein model near the adiabatic limit

Abstract

We adapt a variational procedure to calculate ground state properties of the Holstein model in the adiabatic limit. At strong coupling, this adaption leads to rapid convergence of results. The intermediate coupling regime is further handled with an adaptive algorithm. We also use semi-classically derived results for the adiabatic end-point, along with weak coupling perturbation theory. These establish weak and strong coupling (or large and small polaron, respectively) regimes in two dimensions or higher. As is well known, these are connected smoothly, but the cross-over becomes increasingly abrupt as the phonon frequency decreases.

arXiv comment6 pages, 5 figures

References in corpus (5)

• The Holstein Polaron
• Dimensionality effects on the Holstein polaron
• Breakdown of the Migdal-Eliashberg theory in the strong-coupling adiabatic regime
• Numerical solution of the Holstein polaron problem
• Electron-phonon effects on spin-orbit split bands of two dimensional systems

Cited by in corpus (23)

• Nonequilibrium dynamics of the Holstein polaron driven by external electric field
• Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model
• Polarons and slow quantum phonons
• Charge-density-wave melting in the one-dimensional Holstein model
• Density-matrix embedding theory study of the one-dimensional Hubbard-Holstein model
• Variational Monte Carlo Method for Electron-Phonon Coupled Systems
• Perturbation theory of the mass enhancement for a polaron coupled to acoustic phonons
• Impact of Dresselhaus vs. Rashba spin-orbit coupling on the Holstein polaron
• Discontinuous polaron transition in a two-band model
• Emergence of states in the phonon spectral function of the Holstein polaron below and above the one-phonon continuum
• A spectral function tour of electron-phonon coupling outside the Migdal limit
• Impact of spin-orbit coupling on the Holstein polaron
• A new self-consistent basis generation scheme for polaron and bipolaron systems
• The extended vs standard Holstein model; results in two and three dimensions
• Thermal and quantum lattice fluctuations in Peierls chains
• The Effect of Next-Nearest Neighbour Hopping in the One, Two, and Three Dimensional Holstein Model
• Orbital Effects of Strong Magnetic Field on a 2-D Holstein Polaron
• BLF-SSH Polarons coupled to Acoustic Phonons in the Adiabatic limit
• Non-perturbative dynamics of flat-band systems with correlated disorder
• Particularities of polaron formation in the extended Holstein model with next nearest neighbor transfer
• Redox chemistry meets semiconductor defect physics
• Renormalization of the optical band gap through an effective Thirring interaction for massive Dirac-like electrons
• Role of long-range coupling on the properties of single polarons in models with dual electron-phonon couplings