2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219362We study the triangular $t$-$J$ model with multiple spin exchange interactions using exact diagonalization of small clusters, as a model of monolayer liquid $^3$He. A phase where the energy spectrum suggest the behaviors of spin-charge separation is realized in the doped-Mott region due to the competition between ferromagnetic two-spin and antiferromagnetic four-spin exchange interactions. This behavior gives an interpretation of the double peaked heat capacity recently observed in monolayer liquid $^3$He adsorbed on a graphite.4 pages, 4 figures, to appear in J. Phys. Soc. Jpn. Vol. 78, No.1 (2009)Strongly Correlated ElectronsMaterials Sciencetext