Bound states in dimerized and frustrated Heisenberg chains

Citation
G. Bouzerar et S. Sil, Bound states in dimerized and frustrated Heisenberg chains, INT J MOD B, 15(19-20), 2001, pp. 2821-2831
Citations number
17
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS B
ISSN journal
02179792 → ACNP
Volume
15
Issue
19-20
Year of publication
2001
Pages
2821 - 2831
Database
ISI
SICI code
0217-9792(20010810)15:19-20<2821:BSIDAF>2.0.ZU;2-T
Abstract
Using the Bond-Operator Technique (BOT), we have studied the low energy exc itation spectrum of a frustrated dimerized antiferromagnetic Heisenberg cha in. In particular, we have compared our analytical results with previous Ex act Diagonalization (ED) data. Qualitatively, the BOT results are in good a greement with the ED data. And even a very good quantitative agreement is o btained in some parameter region. It is clearly shown that there is only on e elementary excitation branch (lowest triplet branch) and that the two oth er well defined excitations which appear below the continuum, one singlet a nd one triplet, are bound states of two elementary triplets.