 96579 Parreira J. R., Bolina O., Perez J. F.
 Neel Order in the Ground State of Heisenberg Antiferromagnetic
chains with Long Range Interactions
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Nov 20, 96

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Abstract. We consider the ground state of onedimensional antiferromagnets with
long range interactions with Hamiltonian given by
$$
H=\sum_{x} \sum_{n} (1)^{n} J(n) {\bf S}_{x}.{\bf S}_{x+n}
$$
where $J(n)=n^{\alpha}$, with $J>0$. We prove N\'eel order for all
$1<\alpha<3$ if the spins $s$ is sufficiently large. We also prove the
absence of long range order when $\alpha>3$ for any spin value.
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