NEEL ORDER IN THE GROUND-STATE OF HEISENBERG ANTIFERROMAGNETIC CHAINSWITH LONG-RANGE INTERACTIONS

Authors
PARREIRA JR BOLINA O PEREZ JF
Citation
Jr. Parreira et al., NEEL ORDER IN THE GROUND-STATE OF HEISENBERG ANTIFERROMAGNETIC CHAINSWITH LONG-RANGE INTERACTIONS, Journal of physics. A, mathematical and general, 30(4), 1997, pp. 1095-1100
Citations number
6
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
4
Year of publication
1997
Pages
1095 - 1100
Database
ISI
SICI code
0305-4470(1997)30:4<1095:NOITGO>2.0.ZU;2-I
Abstract
We consider the ground state of one-dimensional antiferromagnets with long-range interactions with Hamiltonian given by [GRAPHICS] where J(n ) = Jn(-alpha), with J > 0. We prove Neel order for all 1 < alpha < 3 if the spin s is sufficiently large. We also prove the absence of long -range order when alpha > 3 for any spin value.