| Numéro |
J. Phys. Colloques
Volume 49, Numéro C8, Décembre 1988
Proceedings of the International Conference on Magnetism
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|---|---|---|
| Page(s) | C8-1415 - C8-1416 | |
| DOI | https://doi.org/10.1051/jphyscol:19888650 | |
Proceedings of the International Conference on Magnetism
J. Phys. Colloques 49 (1988) C8-1415-C8-1416
DOI: 10.1051/jphyscol:19888650
1 Department of Physics, Brookhaven National Laboratory, Upton, New York 11973, U.S.A.
2 International Institute of Theoretical Physics, Department of Physics, Utah State University, Logan, Utah 84322, U.S.A.
J. Phys. Colloques 49 (1988) C8-1415-C8-1416
DOI: 10.1051/jphyscol:19888650
RENORMALIZATION GROUP STUDY OF THE ANISOTROPIC AND ALTERNATING HEISENBERG ANTIFERROMAGNETS
H. Q. Lin1 et C. Y. Pan21 Department of Physics, Brookhaven National Laboratory, Upton, New York 11973, U.S.A.
2 International Institute of Theoretical Physics, Department of Physics, Utah State University, Logan, Utah 84322, U.S.A.
Abstract
A real space renormalization group method is applied to study the properties of the anisotropic and alternating Heisenberg antiferromagnets with spin 1/2, 1 and 3/2. To improve the accuracy of the numerical estimates larger spin cluster is used. The ground state energy and the energy gap are obtained. For the case of S = 1 at Heisenberg point, the ground state energy per site is E (0)/N = -1.4021 ± 0.0005 and the energy gap is 0.4097 ± 0.0005, in excellent agreement with a recent Monte Carlo calculation. For the cases of spin 1/2 and 3/2 the energy gap is absent. Therefore our results are shown to support Haldane's conjecture. We briefly discuss the properties of the novel phase.