Flow equations for the one-dimensional Kondo lattice model: static and dynamic ground state properties
Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany
Corresponding author: a email@example.com
Revised: 2 April 2006
Published online: 31 July 2006
The one-dimensional Kondo lattice model is investigated by means of Wegner's flow equation method. The renormalization procedure leads to an effective Hamiltonian which describes a free one-dimensional electron gas and a Heisenberg chain. The localised spins of the effective model are coupled by the well-known RKKY interaction. They are treated within a Schwinger boson mean field theory which permits the calculation of static and dynamic correlation functions. In the regime of small interaction strength static expectation values agree well with the expected Luttinger liquid behaviour. The parameter Kρ of the Luttinger liquid theory is estimated and compared to recent results from density matrix renormalization group studies.
PACS: 75.30.Mb – Valence fluctuation, Kondo lattice, and heavy-fermion phenomena / 71.10.Pm – Fermions in reduced dimensions / 11.10.Gh – Renormalization
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006