Effects of lattice geometry and interaction range on polaron dynamics

Abstract

We study the effects of lattice type on polaron dynamics using a continuous-time quantum Monte-Carlo approach. Holstein and screened Froehlich polarons are simulated on a number of different Bravais lattices. The effective mass, isotope coefficients, ground state energy and energy spectra, phonon numbers, and density of states are calculated. In addition, the results are compared with weak and strong coupling perturbation theory. For the Holstein polaron, it is found that the crossover between weak and strong coupling results becomes sharper as the coordination number is increased. In higher dimensions, polarons are much less mobile at strong coupling, with more phonons contributing to the polaron. The total energy decreases monotonically with coupling. Spectral properties of the polaron depend on the lattice type considered, with the dimensionality contributing to the shape and the coordination number to the bandwidth. As the range of the electron-phonon interaction is increased, the coordination number becomes less important, with the dimensionality taking the leading role.

16 pages, 12 figures

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Cited by in corpus (27)

• Froehlich Polaron and Bipolaron: Recent Developments
• Sharp transition for single polarons in the one-dimensional Su-Schrieffer-Heeger model
• Superlight small bipolarons in the presence of strong Coulomb repulsion
• Light Bipolarons Stabilized by Peierls Electron-Phonon Coupling
• Mobility of Holstein polaron: an unbiased approach
• Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model
• Quantum Monte Carlo study of lattice polarons in the two-dimensional multi-orbital Su-Schrieffer-Heeger model
• Superlight small bipolarons
• Bose-Einstein condensation of strongly correlated electrons and phonons in cuprate superconductors
• Phase diagram of the Holstein polaron in one dimension
• Breakdown of Migdal--Eliashberg theory via catastrophic vertex divergence at low phonon frequency
• Exact treatment of exciton-polaron formation by Diagrammatic Monte Carlo
• Tunable graphene bandgaps from superstrate mediated interactions
• Light and stable triplet bipolarons on square and triangular lattices
• Polaron action for multimode dispersive phonon systems
• Quantum adiabatic polarons by translationally invariant perturbation theory
• Effect of screening of the electron-phonon interaction on mass renormalization and optical conductivity of the Extended Holstein model polarons
• An approach for studying the influence of uniaxial strain (pressure) on the temperature of the Bose-Einstein condensation of intersite bipolarons: possible implementation for RBa${}_2$Cu${}_3$O${}_{7-\delta }$ cuprates
• Mass of a lattice polaron from extended Holstein model using Yukawa potential
• Orbital Effects of Strong Magnetic Field on a 2-D Holstein Polaron
• Optical conductivity for a dimer in the Dynamic Hubbard model
• The end points in the dispersion of Holstein polarons
• Unconventional pairing in bipolaronic theories
• Strain Fields and Critical Phenomena in Manganites I: Spin-Lattice Hamiltonians
• Spectral signatures of residual electron pairing in the extended-Hubbard-Su-Schrieffer-Heeger model
• Diagrammatic quantum Monte Carlo study of an acoustic lattice polaron
• Bias Free Gap Creation in Bilayer Graphene