Phase Diagram of An SU(2)xSU(2) Scalar-Fermion Model with Massless   Decoupled Doublers
  We present the phase structure of the chiral SU(2)xSU(2) scalar-fermion model on the lattice using the Zaragoza proposal for chiral fermions. The numerical result agrees with an analytic study based on the use of weak and strong Yukawa coupling expansions combined with the mean field approach. The phase diagram consits of four phases: paramagnetic(PM), ferromagnetic(FM), antiferromagnetic(AFM) and ferrimagnetic (FI). The transition lines separating these four phases intersect at one quadruple point. 
J.L. Alonso, F.Lesmes, E.Rivas and Ph. Boucaud