Vertex-corrected perturbation theory for the electron-phonon problem with non-constant density of states
arXiv:cond-mat/9806275 · doi:10.1103/PhysRevB.58.11613
Abstract
A series of weak-coupling perturbation theories which include the lowest-order vertex corrections are applied to the attractive Holstein model in infinite dimensions. The approximations are chosen to reproduce the iterated perturbation theory in the limit of half-filling and large phonon frequency (where the Holstein model maps onto the Hubbard model). Comparison is made with quantum Monte Carlo solutions to test the accuracy of different approximation schemes.
31 pages, 15 figures, typeset in ReVTeX
References in corpus (4)
- The Hubbard Model at Infinite Dimensions: Thermodynamic and Transport Properties
- A New Iterative Perturbation Scheme for Lattice Models with Arbitrary Filling
- Magnetic and Dynamic Properties of the Hubbard Model in Infinite Dimensions
- Iterated perturbation theory for the attractive Holstein and Hubbard models
Cited by in corpus (7)
- Temperature-filling phase diagram of the two-dimensional Holstein model in the thermodynamic limit by self-consistent Migdal approximation
- Electron and phonon dispersions of the two dimensional Holstein model: Effects of vertex and non-local corrections
- Breakdown of Migdal--Eliashberg theory via catastrophic vertex divergence at low phonon frequency
- Anomalous impurity effects in nonadiabatic superconductors
- Spectral properties and enhanced superconductivity in renormalized Migdal-Eliashberg theory
- Pauli susceptibility of nonadiabatic Fermi liquids
- Tuning correlation effects with electron-phonon interactions