New Chiral Universality Class in a Frustrated Three-Leg Spin Ladder

We study a model of three $S=1\mathrm{/}2$ antiferromagnetic Heisenberg spin chains weakly coupled by on-rung and plaquette-diagonal interchain interactions. It is shown that the model exhibits a critical phase with central charge C=2 and belongs to the class of ``chirally stabilized’’ liquids recently introduced by Andrei, Douglas, and Jerez. By allowing anisotropic interactions in spin space, we find an exact solution at a Toulouse point which captures all universal properties of the model, including the SU(2) symmetric case. At the new critical point the massless degrees of freedom are described in terms of an effective $S=1\mathrm{/}2$ Heisenberg spin chain and two critical Ising models. We discuss the spectral properties of the model, compute spin-spin correlation functions and estimate the NMR relaxation rate.