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The magnetic phase diagram and the thermodynamic properties of a squarelattice containing antiferromagnetically coupled spin-1/2 triangles arestudied. A Heisenberg Hamiltonian with three strong intra-triangle exchangecoupling constants and one weak inter-triangle exchange coupling constant isproposed to model the interacting Cu^2+ ions of the Cu_3MoO_4 planes inLa_4Cu_3MoO_12. Depending on the ratio of the intra-triangle couplingconstants, various long-ranged magnetic phases are shown to compete at lowtemperatures. A comparison of numerical calculations of thermodynamicproperties in the model Hamiltonian with recent experiments on La_4Cu_3MoO_12suggests that the spins in this material order antiferromagnetically along thex-direction and ferromagnetically along the y-direction of the Cu_3MoO_4planes. The temperature dependence of the uniform magnetic susceptibility, theheat capacity, and the entropy are calculated and are shown to be inqualitative agreement with the experiments on this compound.Comment: RevTex, 4 pages with 3 figure

physical review. b, condensed matter

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Phase diagram and thermodynamic properties of the square lattice of antiferromagnetic spin-12triangles inLa4