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Modified spin-wave theory for the S = 1 frustrated antiferromagnetic Heisenberg chain

Author

Listed:
  • G. M. Rocha-Filho
  • A. S.T. Pires
  • M. E. Gouvêa

Abstract

We study the one-dimensional isotropic spin-1 Heisenberg magnet with antiferromagnetic nearest-neighbor (nn) and next-nearest-neighbor (nnn) interactions by using the modified spin wave theory (MSWT). The ground state energy and the singlet-triplet energy gap are obtained for several values of j, defined as the ratio of the nnn interaction constant to the nn one. We also compare two different ways of implementing the MSWT currently found in the literature, and show that, despite the remarkable differences between the equations to be solved in each procedure, the results given by both are equivalent, except for the predicted value of the j max , the maximum value of j accessible in each treatment. Here, we suggest that j max is related to the disorder point of the first kind. Our results show that the ground state and the gap energies increase with j, for j ≤j max , in accordance to previous numerical results. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Suggested Citation

  • G. M. Rocha-Filho & A. S.T. Pires & M. E. Gouvêa, 2007. "Modified spin-wave theory for the S = 1 frustrated antiferromagnetic Heisenberg chain," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 56(1), pages 7-14, March.
    • Handle: RePEc:spr:eurphb:v:56:y:2007:i:1:p:7-14
    DOI: 10.1140/epjb/e2007-00082-x
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