Momentum average approximation for models with boson-modulated hopping: Role of closed loops in the dynamical generation of a finite quasiparticle mass

Abstract

We generalize the momentum average approximation to study the properties of single polarons in models with boson affected hopping, where the fermion-boson scattering depends explicitly on both the fermion's and the boson's momentum. As a specific example, we investigate the Edwards fermion-boson model in both one and two dimensions. In one dimension, this allows us to compare our results with exact diagonalization results, to validate the accuracy of our approximation. The generalization to two-dimensional lattices allows us to calculate the polaron's quasiparticle weight and dispersion throughout the Brillouin zone and to demonstrate the importance of Trugman loops in generating a finite effective mass even when the free fermion has an infinite mass.

15 pages, 14 figures

References in corpus (12)

• Green's function of a dressed particle
• The Green's Function of the Holstein Polaron
• Quantum Monte Carlo and variational approaches to the Holstein model
• Systematic improvement of the Momentum Average approximation for the Green's function of a Holstein polaron
• Polarons and slow quantum phonons
• Orbitally induced string formation in the spin-orbital polarons
• Boson-controlled quantum transport
• Momentum average approximation for models with electron-phonon coupling dependent on the phonon momentum
• Holstein polaron in the presence of disorder
• Survival of the Dirac points in rippled graphene
• Holstein polaron: the effect of multiple phonon modes
• Analytical calculation of the Green's function and Drude weight for a correlated fermion-boson system

Cited by in corpus (29)

• Sharp transition for single polarons in the one-dimensional Su-Schrieffer-Heeger model
• Extrapolating quantum observables with machine learning: Inferring multiple phase transitions from properties of a single phase
• Investigating polaron transitions with polar molecules
• Optical conductivity of the Holstein polaron
• Fractons from polarons
• The polaron paradigm: a dual coupling effective band model
• Trapping of three-dimensional Holstein polarons by various impurities
• Peierls/Su-Schrieffer-Heeger polarons in two dimensions
• Bond-Peierls polaron: Moderate mass enhancement and current-carrying ground state
• Perturbation theory of the mass enhancement for a polaron coupled to acoustic phonons
• Phonon-mediated repulsion, sharp transitions and (quasi)self-trapping in the extended Peierls-Hubbard model
• Numerically Exact Generalized Green's Function Cluster Expansions for Electron-Phonon Problems
• Polaronic approach to strongly correlated electron system with strong electron-phonon interaction
• Aharonov-Bohm interference for a hole in a two-dimensional Ising antiferromagnet in a transverse magnetic field
• Beyond the single-site approximation modeling of electron-phonon coupling effects on resonant inelastic X-ray scattering spectra
• Phase separation in the Edwards model
• Edwards polaron formation : From one to three dimension
• Properties and temperature evolution of the spectrum of localized quasi-particles interacting with polarization phonons in two models
• Unconventional superconductivity and interaction induced Fermi surface reconstruction in the two-dimensional Edwards model
• Exciton dissociation mediated by phonons in organic photovoltaics
• A perturbational study of the lifetime of a Holstein polaron in the presence of weak disorder
• Orbital Effects of Strong Magnetic Field on a 2-D Holstein Polaron
• The end points in the dispersion of Holstein polarons
• Anderson localization versus charge-density-wave formation in disordered electron systems
• A Green's function decoupling scheme for the Edwards fermion-boson model
• Energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature
• Holstein magneto-polarons: from Landau levels to Hofstadter butterflies
• Quantum transport in an environment parametrized by dispersive bosons
• Role of long-range coupling on the properties of single polarons in models with dual electron-phonon couplings