Phases of the generalized two-leg spin ladder: A view from the SU(4)   symmetry
  The zero-temperature phases of a generalized two-leg spin ladder with four-spin exchanges are discussed by means of a low-energy field theory approach starting from an SU(4) quantum critical point. The latter fixed point is shown to be a rich multicritical point which unifies different competing dimerized orders and a scalar chirality phase which breaks spontaneously the time-reversal symmetry. The quantum phase transition between these phases is governed by spin-singlet fluctuations and belongs to the Luttinger universality class due to the existence of an exact U(1) self-duality symmetry. 
P. Lecheminant and K. Totsuka