Friedel oscillations in the one-dimensional Kondo-lattice model

TL;DR

This paper investigates charge and spin Friedel oscillations in the one-dimensional Kondo lattice model's paramagnetic phase, revealing a Tomonaga-Luttinger liquid behavior and a large Fermi surface including localized spins.

Contribution

It provides the first detailed analysis of Friedel oscillations in this model using DMRG, confirming the large Fermi surface and Luttinger liquid characteristics.

Findings

Charge and spin Friedel oscillations observed

Oscillations consistent with Tomonaga-Luttinger liquid

Fermi surface includes localized spins, large Fermi surface

Abstract

The paramagnetic metallic phase of the one-dimensional Kondo lattice model is studied by the density-matrix renormalization- group method. We observe charge and spin Friedel oscillations. They reflect the long range charge-charge and spin-spin correlation functions. The observed oscillations are consistent with a Tomonaga-Luttinger liquid. From the period of the oscillations it is concluded that the Fermi surface is large, including both the conduction electrons and the localized spins, $k_F=\pi (1+n_c)/2$, where $n_c$ is the density of conduction electrons.