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We present a functional renormalization group scheme that allows us tocalculate frustrated magnetic systems of arbitrary lattice geometry beyondO(200) sites from first principles. We study the magnetic susceptibility of theantiferromagnetic (AFM) spin-1/2 Heisenberg model ground state on the spatiallyanisotropic triangular lattice, where J' denotes the coupling strength of theintrachain bonds along one lattice direction and J the coupling strength of theinterchain bonds. We identify three distinct phases of the Heisenberg model.Increasing xi=J'/J from the effective square lattice xi=0, we find an AFM Neelorder to spiral order transition at xi_{c1} = 0.6-0.7, with indication to be ofsecond order. In addition, above the isotropic point at xi_{c2} = 1.1, we finda first order transition to a magnetically disordered phase with collinear AFMstripe fluctuations.

Functional renormalization group for the anisotropic triangular antiferromagnet