Ground-state properties of theS=1/2 Heisenberg antiferromagnet on a triangular lattice
- 1 September 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 42 (7), 4800-4803
- https://doi.org/10.1103/physrevb.42.4800
Abstract
We study the S=1/2 Heisenberg antiferromagnet on a triangular lattice with both nearest-neighbor () and next-to-nearest-neighbor () couplings. We have performed a spin-wave analysis around the classical ground state. At large (/) the Néel state is destabilized and the system exhibits the ‘‘order from disorder’’ phenomenon with a threefold-degenerate ground state that spontaneously breaks the lattice rotational invariance. These results are in agreement with a Lanczos study of a 12-site lattice. For even larger values of / the spin-wave calculation shows the existence of a second transition to an incommensurate spiral. Thus, the previously suggested existence of chiral order in this model should be reanalyzed.
Keywords
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