Effects of dimensionality and anisotropy on the Holstein polaron

Abstract

We apply weak-coupling perturbation theory and strong-coupling perturbation theory to the Holstein molecular crystal model in order to elucidate the effects of anisotropy on polaron properties in D dimensions. The ground state energy is considered as a primary criterion through which to study the effects of anisotropy on the self-trapping transition, the self-trapping line associated with this transition, and the adiabatic critical point. The effects of dimensionality and anisotropy on electron-phonon correlations and polaronic mass enhancement are studied, with particular attention given to the polaron radius and the characteristics of quasi-1D and quasi-2D structures. Perturbative results are confirmed by selected comparisons with variational calculations and quantum Monte Carlo data.

References in corpus (6)

• Density matrix renormalization group study of the polaron problem in the Holstein model
• Mobile small polaron
• Continuous-Time Quantum Monte Carlo Algorithm for the Lattice Polaron
• Polaron Effective Mass, Band Distortion, and Self-Trapping in the Holstein Molecular Crystal Model
• The Self-Trapping Line of the Holstein Molecular Crystal Model in One Dimension
• Exact weak-coupling radius of the Holstein polaron in one, two, and three dimensions

Cited by in corpus (25)

• The Green's Function of the Holstein Polaron
• Charge Order in the Holstein Model on a Honeycomb Lattice
• Superconductivity and charge density wave order in the 2D Holstein model
• Langevin Simulations of a Long Range Electron Phonon Model
• Effect of electron-phonon interaction range on lattice polaron dynamics: a continuous-time quantum Monte Carlo study
• Photoemission spectra of many-polaron systems
• Singular Effect of Disorder on Electronic Transport in Strong Coupling Electron-Phonon Systems
• Towards Outperforming Classical Algorithms with Analog Quantum Simulators
• Electron-Phonon Interactions in Flat Band Systems
• Langevin Simulations of the Half-Filled Cubic Holstein Model
• Single polaron properties of the breathing-mode Hamiltonian
• Charge ordering and magnetism in quarter-filled Hubbard-Holstein model
• Phase diagram of the Holstein polaron in one dimension
• Polaron Crossover in Molecular Solids
• Charge-Density Wave Order on a $\pi$-flux Square Lattice
• Quantum Monte Carlo study of an anharmonic Holstein model
• Solution of the Holstein polaron anisotropy problem
• Polaron Mass and Electron-Phonon Correlations in the Holstein Model
• Holstein polaron in two and three dimensions by quantum Monte Carlo
• The Many Electron Ground State of the Adiabatic Holstein Model in Two and Three Dimensions
• Enhancement of Charge Density Wave Correlations in a Holstein Model with an Anharmonic Phonon Potential
• The end points in the dispersion of Holstein polarons
• Polaron self-trapping in a honeycomb net
• Dimensionality Effects on the Su-Schrieffer-Heeger Model
• Non Metallic Transport in Molecular Solids versus Dimensionality