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On the triangular lattice, for $J_2/J_1$ between $1/8$ and $1$, the classicalHeisenberg model with first and second neighbor interactions presentsfour-sublattice ordered ground-states. Spin-wave calculations of Chubukov andJolicoeur\cite{cj92} and Korshunov\cite{k93} suggest that quantum fluctuationsselect amongst these states a colinear two-sublattice order. From theoreticalrequirements, we develop the full symmetry analysis of the low lying levels ofthe spin-1/2 Hamiltonian in the hypotheses of either a four or a two-sublatticeorder. We show on the exact spectra of periodic samples ($N=12,16$ and $28$)how quantum fluctuations select the colinear order from the four-sublatticeorder.Comment: 15 pages, 4 figures (available upon request), Revte

physical review. b, condensed matter

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">J</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">J</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>quantum Heisenberg antiferromagnet on the …

J1-J2quantum Heisenberg antiferromagnet on the …