Ferromagnetism in a hard-core boson model

Abstract

The problem of ferromagnetism -- associated with a ground state with maximal total spin -- is discussed in the framework of a hard-core model, which forbids the occupancy at each site with more than one particle. It is shown that the emergence of ferromagnetism on finite square lattices crucially depends on the statistics of the particles. Fermions (electrons) lead to the well-known instabilities for finite hole densities, whereas for bosons (with spin) ferromagnetism appears to be stable for all hole densities.

8 pages, 7 figures, RevTex 4

References in corpus (6)

• Phase diagram of two-component bosons on an optical lattice
• Atomic Bose-Fermi mixtures in an optical lattice
• Polarization of interacting bosons with spin
• Ferromagnetism in the Hubbard model: instability of the Nagaoka state on the triangular, honeycomb and kagome lattices
• Stripes, topological order, and deconfinement in a planar t-Jz model
• Formation of clusters in the ground state of the $t-J$ model on a two leg ladder

Cited by in corpus (4)

• Superconductivity in strongly repulsive fermions: the role of kinetic-energy frustration
• Saturated Ferromagnetism from Statistical Transmutation in Two Dimensions
• Breakdown of the Nagaoka phase at finite doping
• Spin-flip induced superfluidity in a ring of spinful hard-core bosons