Lo. Manuel et Ha. Ceccatto, Magnetic and quantum disordered phases in triangular-lattice Heisenberg antiferromagnets, PHYS REV B, 60(13), 1999, pp. 9489-9493
We study, within the Schwinger-boson approach, the ground-state structure o
f two Heisenberg antiferromagnets on the triangular lattice: the J(1)-J(2)
model, which includes a next-nearest-neighbor coupling J(2), and the spatia
lly-anisotropic J(1)-J'(1) model, in which the nearest-neighbor coupling ta
kes a different value J'(1) along one of the bond directions. The motivatio
ns for the study of these systems range from general theoretical questions
concerning frustrated quantum spin models to the concrete description of th
e insulating phase of some layered molecular crystals. For both models, the
inclusion of one-loop corrections to saddle-point results leads to the pre
diction of nonmagnetic phases for particular values of the parameters J(1)/
J(2) and J'(1)/J(1). In the case of the J(1)-J(2) model we shed light on th
e existence of such disordered quantum state, a question which is controver
sial in the literature. For the J(1)-J'(1) model our results for the ground
-state energy, quantum renormalization of the pitch in the spiral phase, an
d the location of the nonmagnetic phases, nicely agree with series expansio
ns predictions. [S0163-1829(99)03437-2].