https://doi.org/10.1007/s100510050589
Unified quantum mechanical picture for confined spinons in dimerized and frustrated spin S=1/2 chains
1
Institut für
Theoretische Physik, Universität zu Köln,
Zülpicher Straße 77, 50937 Köln, Germany
2
National High Magnetic Field Laboratory and Department of
Physics,
Florida State University, Tallahassee, Florida 32306, USA
Received:
8
May
1998
Accepted:
12
August
1998
Published online: 15 January 1999
A quantum mechanical picture is presented to describe the
behavior of confined spinons in a variety of S=1/2 chains.
The confinement is due to dimerization and frustration and it
manifests itself
as a nonlinear potential 
, centered at
chain ends (
) or produced by modulation kinks (b> 1).
The calculation extends to weak or zero frustration some previous
ideas valid for spinons in strongly frustrated spin chains.
The local magnetization patterns
of the confined spinons are calculated. A (minimum) enhancement of the
local moments of about 11/3 over a single S=1/2 is found.
Estimates for excitation energies and binding lengths are obtained.
PACS: 64.70.Kb – Solid-solid transitions / 75.10.Jm – Quantized spin models / 75.50.Ee – Antiferromagnetics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999
