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

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