Influence of Nearest-Neighbor Coulomb Interactions on the Phase Diagram of the Ferromagnetic Kondo Model

TL;DR

This paper investigates how nearest-neighbor Coulomb interactions influence phase separation, charge ordering, and ferromagnetism in the ferromagnetic Kondo model, revealing complex domain structures and regimes of charge-ordered ferromagnetism.

Contribution

It provides computational analysis of Coulomb effects on phase separation and charge ordering in the ferromagnetic Kondo model, highlighting new regimes of charge-ordered ferromagnetism.

Findings

Coulomb interaction fragments phase-separated domains into small islands.

Incommensurate peaks indicate vestiges of phase separation at large V.

Charge ordering tendencies emerge near half-filling without destroying ferromagnetism.

Abstract

The influence of a nearest-neighbor Coulomb repulsion of strength V on the properties of the Ferromagnetic Kondo model is analyzed using computational techniques. The Hamiltonian studied here is defined on a chain using localized S=1/2 spins, and one orbital per site. Special emphasis is given to the influence of the Coulomb repulsion on the regions of phase separation recently discovered in this family of models, as well as on the double-exchange-induced ferromagnetic ground state. When phase separation dominates at V=0, the Coulomb interaction breaks the large domains of the two competing phases into small ``islands'' of one phase embedded into the other. This is in agreement with several experimental results, as discussed in the text. Vestiges of the original phase separation regime are found in the spin structure-factor as incommensurate peaks, even at large values of V. In the ferromagnetic regime close to density $n=0.5$, the Coulomb interaction induces tendencies to charge ordering without altering the fully polarized character of the state. This regime of ``charge- ordered ferromagnetism'' may be related with experimental observations of a similar phase by C. H. Chen and S-W. Cheong (Phys. Rev. Lett. 76, 4042 (1996)). Our results reinforce the recently introduction notion (see e.g., S. Yunoki et al., Phys. Rev. Lett. 80, 845 (1998)) that in realistic models for manganites analyzed with unbiased many-body techniques, the ground state properties arise from a competition between ferromagnetism and phase-separation/charge-ordering tendencies.