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

Abstract

We 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)

References in corpus (7)

• Spin-Liquid phase of the Multiple-Spin Exchange Hamiltonian on the Triangular Lattice
• Phase Diagram and Pairing Symmetry of the Two-Dimensional t-J Model by a Variation Theory
• From Neel long-range order to spin-liquids in the multiple-spin exchange model
• Octupolar order in the multiple spin exchange model on a triangular lattice
• Ground State of a Spin System with Two- and Four-spin Exchange Interactions on the Triangular Lattice
• Evidence for Spin-Charge Separation in the Two-Dimensional T-J Model
• What is Minimal Model of 3He Adsorbed on Graphite? -Importance of Density Fluctuations in 4/7 Registered Solid -

Cited by in corpus (5)

• Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
• Possible quantum liquid crystal phases of helium monolayers
• Thermodynamic properties of an $S=1/2$ ring-exchange model on the triangular lattice
• Variational cluster approach to thermodynamic properties of interacting fermions at finite temperatures: A case study of the two-dimensional single-band Hubbard model at half filling
• Spin and density excitations in the triangular-lattice $t$-$J$ model with multiple-spin exchange interactions: ${}^3$He on graphite