DMRG study of ferromagnetism in a one-dimensional Hubbard model

TL;DR

This paper uses the DMRG method to investigate ferromagnetism in a 1D Hubbard model with specific hopping terms, revealing a broad ferromagnetic phase at finite density and interaction.

Contribution

It provides the first detailed DMRG analysis of ferromagnetism in this extended 1D Hubbard model with next-nearest neighbor hopping.

Findings

Large ferromagnetic region identified

Ferromagnetism occurs at finite density and interaction

Method demonstrates effectiveness for 1D correlated systems

Abstract

The one dimensional Hubbard model with nearest and (negative) next-nearest neighbour hopping has been studied with the density-matrix renormalization group (DMRG) method. A large region of ferromagnetism has been found for finite density and finite on-site interaction.