Polaron action for multimode dispersive phonon systems

Abstract

Path-integral approach to the tight-binding polaron is extended to multiple optical phonon modes of arbitrary dispersion and polarization. The non-linear lattice effects are neglected. Only one electron band is considered. The electron-phonon interaction is of the density-displacement type, but can be of arbitrary spatial range and shape. Feynman's analytical integration of ion trajectories is performed by transforming the electron-ion forces to the basis in which the phonon dynamical matrix is diagonal. The resulting polaron action is derived for the periodic and shifted boundary conditions in imaginary time. The former can be used for calculating polaron thermodynamics while the latter for the polaron mass and spectrum. The developed formalism is the analytical basis for numerical analysis of such models by path-integral Monte Carlo methods.

9 pages

References in corpus (8)

• Polaron in t-J model
• Two-dimensional Hubbard-Holstein bipolaron
• Quantum Monte Carlo and variational approaches to the Holstein model
• Effect of electron-phonon interaction range on lattice polaron dynamics: a continuous-time quantum Monte Carlo study
• Effects of lattice geometry and interaction range on polaron dynamics
• Ground-state dispersion and density of states from path-integral Monte Carlo. Application to the lattice polaron
• Band structure of the Jahn-Teller polaron from Quantum Monte Carlo
• Non Local Electron-Phonon Correlations in a Dispersive Holstein Model

Cited by in corpus (3)

• Holstein polaron: the effect of multiple phonon modes
• A cold atom quantum simulator to explore pairing, condensation, and pseudogaps in extended Hubbard--Holstein models
• Renormalized spectrum of quasiparticle in limited number of states, strongly interacting with two-mode polarization phonons at $T=0$ K