Raman scattering for triangular lattices spin-1/2 Heisenberg antiferromagnets

Motivated by various spin- 1/2 compounds like Cs2CuCl4 or kappa-( BEDT- TTF)(2) Cu-2( CN) 3, we derive a Raman- scattering operator ` a la Shastry and Shraiman for various geometries. For T = 0, the exact spectra are computed by the Lanczos algorithm for finite- size clusters. We perform a systematic investigation as a function of J(2)/ J(1), the exchange constant ratio: ranging from J(2) = 0, the well known square- lattice case, to J(2)/ J(1) = 1 the isotropic triangular lattice. We discuss the polarization dependence of the spectra and show how it can be used to detect precursors of the instabilities of the ground state against quantum fluctuations.