The fate of Kondo resonances in certain Kondo lattices: a ``poor woman's'' scaling analysis

Abstract

We present an effective field theory for the Kondo lattice, which can exhibit, in a certain range of parameters, a non Fermi liquid paramagnetic phase at the brink of a zero temperature Anti Ferromagnetic (AF) transition. The model is derived in a natural way from the bosonic Kondo-Heisenberg model, in which the Kondo resonances are treated as true (but damped) Grassmann fields. One loop Renormalization Group (RG) treatment of this model gives a phase diagram for the Kondo lattice as a function of $ J_K $ where, for $ J_K< J_c$ the system shows AF order, for $J_K> J_1$ one has the heavy electron phase and for $ J_c < J_K < J_1$ the formation of the Kondo singlets is incomplete, leading to the breakdown of the Landau Fermi liquid theory.