The Hubbard model on the triangular lattice: Spiral order and spin liquid

Details The Hubbard model on the triangular lattice: Spiral order and spin liquid The Hubbard model on the triangular lattice: Spiral order and spin liquid

2007-11-02

arxiv.org/abs/0711.0244v3

Phys. Rev. Lett. 100, 136402 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 5 figures (published version)

Scientific paper

10.1103/PhysRevLett.100.136402

We investigate the half-filled Hubbard model on an isotropic triangular lattice with the variational cluster approximation. By decreasing the on-site repulsion $U$ (or equivalently increasing pressure) we go from a phase with long range, three-sublattice, spiral magnetic order, to a non-magnetic Mott insulating phase -- a spin liquid -- and then, for $U\lesssim6.7t$, to a metallic phase. Clusters of sizes 3, 6 and 15 with open boundary conditions are used in these calculations, and an extrapolation to infinite size is argued to lead to a disordered phase at $U=8t$, but to a spiral order at $U\gtrsim 12$.

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