Phonons and the coherence scale of models of heavy fermions

Abstract

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.

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

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Cited by in corpus (16)

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• Identifying a bath-induced Bose liquid in interacting spin-boson models
• Interaction-range effects for fermions in one dimension
• Zooming in on heavy fermions in Kondo lattice models
• Emergent Coherent Lattice Behavior in Kondo Nanosystems
• Theory of Scanning Tunneling Spectroscopy: from Kondo Impurities to Heavy Fermion Materials
• Phase diagram and dynamics of the SU($\mathbf{N}$) symmetric Kondo lattice model
• Low-energy properties of the Kondo lattice model
• Spin and charge dynamics of a quasi-one-dimensional antiferromagnetic metal
• Towards exact solutions for the superconducting $T_c$ induced by electron-phonon interaction
• Melting of stripe phases and its signature in the single-particle spectral function
• Periodic Anderson model with electron-phonon correlated conduction band
• Universal scaling in the Knight shift anomaly of doped periodic Anderson model
• Superconducting Kondo phase in an orbitally-separated bilayer
• Interplay between charge, magnetic and superconducting order in a Kondo lattice with an attractive Hubbard interaction
• Protracted Kondo coherence with dilute carrier density in Cerium based nickel pnictides