Phase Diagram of the 1D Anderson Lattice

TL;DR

This paper maps the phase diagram of the 1D Anderson lattice, revealing various magnetic phases and correlations as a function of band filling using DMRG, highlighting transitions from antiferromagnetic to ferromagnetic states.

Contribution

It provides the first detailed ground state phase diagram of the 1D Anderson lattice with insights into magnetic phases and RKKY oscillations.

Findings

Quarter-filled system has S=0 ground state with antiferromagnetic correlations.

Transition from S=0 to ferromagnetic phase as electrons are added.

Presence of RKKY oscillations within the S=0 phase.

Abstract

We map out the phase diagram of the one--dimensional Anderson lattice by studying the ground state magnetization as a function of band--filling using the density matrix renormalization group technique. For strong coupling, we find that the quarter--filled system has an S=0 ground state with strong antiferromagnetic correlations. As additional electrons are put in, we find first a ferromagnetic phase, as reported by M\"{o}ller and W\"{o}lfle, and then a phase in which the ground state has total spin $S=0$. Within this $S=0$ phase, we find RKKY oscillations in the spin--spin correlation functions.