paper

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

arXiv:cond-mat/0402447 · doi:10.1088/0953-8984/17/3/L01

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.

5 pages, 3 figures