Phase Diagram of the Triangular t-J Model with Multiple Spin Exchange in the Doped-Mott Region

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We study the triangular t-J model with multiple spin exchange interactions using exact diagonalization of small clusters, as a model of monolayer liquid ³He. 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 ³He adsorbed on a graphite.