Many theoretical works discuss the magnetic properties of the strongly repulsive Hubbard model near half filling. Several authors suggest that the system which contains a few holes does not behave as a ferromagnet, unlike in the one-hole case described by Nagaoka's famous result. We discuss the finite temperature properties of finite lattices. Using an efficient Monte Carlo method magnetic and specific heat results are presented for a 10 by 10 lattice with two holes. Our results show that the magnetization increases with decreasing temperature for such a finite system.
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Gurin, P., Gulácsi, Z. Magnetic Properties of the Infinitely Repulsive Hubbard Model Near Half Filling. Czechoslovak Journal of Physics 52, 119–122 (2002). https://doi.org/10.1023/A:1014474302655