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The influence of disorder and interaction on the ground state polarization ofthe two-dimensional (2D) correlated electron gas is studied by numericalinvestigations of unrestricted Hartree-Fock equations. The ferromagnetic groundstate is found to be plausible when the electron number is lowered and theinteraction and disorder parameters are suitably chosen. For a finite system atconstant electronic density the disorder induced spin polarization is cut offwhen the electron orbitals become strongly localized to the individual networksites. The fluctuations of the interaction matrix elements are calculated andbrought out as favoring the ferromagnetic instability in the extended and weaklocalization regime. The localization effect of the Hubbard interaction term isdiscussed.Comment: 7 pages, 9 figure

Spin magnetization of a strongly correlated electron gas confined in a two-dimensional finite lattice