Ground-state properties of the One-dimensional Kondo Lattice at partial Band-filling

TL;DR

This paper investigates the ground-state properties of the one-dimensional Kondo lattice model at partial band-filling using DMRG, revealing a transition from paramagnetic to ferromagnetic states and characterizing electron behavior.

Contribution

It provides a detailed analysis of magnetic and electronic properties of the 1D Kondo lattice at partial filling, highlighting phase transitions and electron correlations.

Findings

Weak-coupling regime is paramagnetic with Luttinger liquid behavior.

Strong-coupling regime exhibits ferromagnetism.

Conduction electrons behave like spinless fermions.

Abstract

We compute the magnetic structure factor, the singlet correlation function and the momentum distribution of the one-dimensional Kondo lattice model at the density $\rho =0.7$. The density matrix-renormalization group method is used. We show that in the weak-coupling regime, the ground state is paramagnetic. We argue that a Luttinger liquid description of the model in this region is consistent with our calculations . In the strong-coupling regime, the ground state becomes ferromagnetic. The conduction electrons show a spinless-fermion like behavior.