Physics – Condensed Matter
Scientific paper
1994-07-06
Physics
Condensed Matter
36 pages, REVTeX 3.0, 13 figures available upon request, LPTL preprint
Scientific paper
10.1103/PhysRevB.50.10048
Exact spectra of periodic samples are computed up to $ N=36 $. Evidence of an extensive set of low lying levels, lower than the softest magnons, is exhibited. These low lying quantum states are degenerated in the thermodynamic limit; their symmetries and dynamics as well as their finite-size scaling are strong arguments in favor of N\'eel order. It is shown that the N\'eel order parameter agrees with first-order spin-wave calculations. A simple explanation of the low energy dynamics is given as well as the numerical determinations of the energies, order parameter and spin susceptibilities of the studied samples. It is shown how suitable boundary conditions, which do not frustrate N\'eel order, allow the study of samples with $ N=3p+1 $ spins. A thorough study of these situations is done in parallel with the more conventional case $ N=3p $.
Bernu Bernard
Lecheminant Ph.
Lhuillier Claire
Pierre Laurent
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