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

G. M. Rocha-Filho (), A. S.T. Pires and M. E. Gouvêa

The European Physical Journal B: Condensed Matter and Complex Systems, 2007, vol. 56, issue 1, 7-14

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

Keywords: 75.10.Jm Quantized spin models; 75.10.Pq Spin chain models; 75.30.Ds Spin waves; 75.50.Ee Antiferromagnetics (search for similar items in EconPapers)
Date: 2007
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1140/epjb/e2007-00082-x (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:56:y:2007:i:1:p:7-14

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2007-00082-x

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().