Ferromagnetism in Hubbard-Like Models in Two-Dimensional Lattices
Abstract: The antiferromagnetic ground state of the two-dimensional Hubbard model on a square lattice at half-filling was shown to become ferromagnetic with the addition of a single hole for infinite e-e repulsion (Nagaoka, 1966). However, Nagaoka ferromagnetism has not been seen in naturally occurring solid-state materials. The advent of synthetic platforms - atoms in optical lattices, and quantum dots/dopant clusters in semiconductors has led us to study Hubbard-like models on large finite lattices using DMRG techniques.
