A POSSIBLE MAGNETIC PHASE WITH SCALAR CHIRALITY IN SOLID HE-3 LAYERS

We study quantum effects in a system of S = 1/2 spins with two-, three and four-spin exchange interactions on the triangular lattice, a poss ible model of the nuclear magnetism of solid He-3 layers. The ground s tate phases found in our previous wort are studied by using the linear spin-wave theory. The ''uuud'' state shows a very flat spin-wave disp ersion, which suggests that this state, though focally stable, will no t survive non-linear quantum effects. The ''tetrahedral'' state, which has long-range order of a scalar chirality, is found to be stable aga inst spin wave fluctuations. The ground state energies of different ph ases are compared. Results of numerical analysis of finite size cluste rs are also presented.