BOSONIZATION STUDY OF THE S = 1 FRUSTRATED ANTIFERROMAGNETIC HEISENBERG CHAIN

The one-dimensional S=1 anisotropic antiferromagnetic Heisenberg model with next-nearest as well as nearest-neighbor exchange intearction is studied with particular emphasis on the effect of the frustration. Th e ground-state phase diagram and the low-lying excitations are examine d by use of the bosonization method and the self-consistent harmonic a pproximation. It turns out that the frustration works in stabilizing t he Haldane phase against the Neel phase, since its effect on the latte r phase is larger. The large-D phase is almost unaffected by the frust ration, resulting in its relative stability against other phases. The excitation gap in the Haldane phase (Haldane gap) is found to be reduc ed by the frustration near the boundary to the large-D phase, while it increases in the vicinity of the Neel phase.