Phonons and the coherence scale of models of heavy fermions

Details Phonons and the coherence scale of models of heavy fermions Phonons and the coherence scale of models of heavy fermions

2009-10-15

arxiv.org/abs/0910.2954v2

Phys. Rev. B 81, 054444 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

13 pages, 19 figures; added Ref.7 and comment on the scenario in which phonons couple to the f orbitals

Scientific paper

10.1103/PhysRevB.81.054444

We consider models of heavy fermions in the strong coupling or local moment limit and include phonon degrees of freedom on the conduction electrons. Due to the large mass or low coherence temperature of the heavy fermion state, it is shown that such a regime is dominated by vertex corrections which leads to the complete failure of the Migdal theorem. Even at weak electron-phonon couplings, binding of the conduction electrons competes with the Kondo effect and substantially reduces the coherence temperature, ultimately leading to the Kondo breakdown. Those results are obtained using a combination of the slave boson method and Migdal-Eliashberg approximation as well as the dynamical mean-field theory approximation.

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