Fermi Surface of The One-dimensional Kondo Lattice Model

TL;DR

This paper provides evidence for a large Fermi surface in the one-dimensional Kondo lattice model, showing the characteristic wave vector depends on conduction electron density, with results confirmed through numerical analysis.

Contribution

It demonstrates the existence of a large Fermi surface in the 1D Kondo lattice model, including for the conventional case without Heisenberg interaction, using numerical methods.

Findings

Large Fermi surface indicated by wave vector $k_F=(1+ ho)rac{ ext{ extpi}}{2}$

Confirmation in the conventional Kondo lattice model at specific Kondo couplings

Numerical evidence supports the theoretical prediction of Fermi surface size

Abstract

We show a strong indication of the existence of a large Fermi surface in the one-dimensional Kondo lattice model. The characteristic wave vector of the model is found to be $k_F=(1+\rho )\pi /2$, $\rho $ being the density of the conduction electrons. This result is at first obtained for a variant of the model that includes an antiferromagnetic Heisenberg interaction $J_H$ between the local moments. It is then directly observed in the conventional Kondo lattice $(J_H=0)$, in the narrow range of Kondo couplings where the long distance properties of the model are numerically accessible.