Efficient DMFT-simulation of the Holstein-Hubbard Model

Details Efficient DMFT-simulation of the Holstein-Hubbard Model Efficient DMFT-simulation of the Holstein-Hubbard Model

2007-01-30

arxiv.org/abs/cond-mat/0701730v3

Phys. Rev. Lett. 99, 146404 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

Published version

Scientific paper

10.1103/PhysRevLett.99.146404

We present a method for solving impurity models with electron-phonon coupling, which treats the phonons efficiently and without approximations. The algorithm is applied to the Holstein-Hubbard model in the dynamical mean field approximation, where it allows access to strong interactions, very low temperatures and arbitrary fillings. We show that a renormalized Migdal-Eliashberg theory provides a reasonlable description of the phonon contribution to the electronic self energy in strongly doped systems, but fails if the quasiparticle energy becomes of order of the phonon frequency.

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