Resonating valence bond wave function for the two dimensional fractional spin liquid

The unconventional low-lying spin excitations, recently observed in neutron scattering experiments on $\mathrm{C}{\mathrm{s}}_2\mathrm{C}\mathrm{u}\mathrm{C}{\mathrm{l}}_4$, are explained with a spin liquid wave function. The dispersion relation as well as the wave vector of the incommensurate spin correlations are well reproduced within a projected BCS wave function with gapless and fractionalized spin-1/2 excitations around the nodes of the BCS gap function. The proposed wave function is shown to be very accurate for one-dimensional spin-1/2 systems, and remains similarly accurate in the two-dimensional model corresponding to $\mathrm{C}{\mathrm{s}}_2\mathrm{C}\mathrm{u}\mathrm{C}{\mathrm{l}}_4$, thus representing a good ansatz for describing spin fractionalization in two dimensions.