Saturated Ferromagnetism from Statistical Transmutation in Two Dimensions

TL;DR

This paper demonstrates that in a two-dimensional Hubbard model with strong interactions and magnetic flux, saturated ferromagnetism arises due to the formation of composite spin-1/2 bosons, expanding understanding of magnetic states in correlated systems.

Contribution

It reveals how statistical transmutation leads to saturated ferromagnetism in the U -> infinity Hubbard model with magnetic flux, highlighting a novel mechanism for magnetic ordering.

Findings

Saturated ferromagnetism occurs over a wide flux and density range.

Formation of spin-1/2 bosons explains the ferromagnetic state.

Ferromagnetism is induced at flux density equal to electron density.

Abstract

The total spin of the ground state is calculated in the U -> infinity Hubbard model with uniform magnetic flux perpendicular to a square lattice, in the absence of Zeeman coupling. It is found that the saturated ferromagnetism emerges in a rather wide region in the space of the flux density \phi and the electron density n_e. In particular, the saturated ferromagnetism at \phi = n_e is induced by the formation of a spin-1/2 boson, which is a composite of an electron and the unit flux quantum.