Speaker
Martin Greiter
(Karlsruher Institut für Technologie)
Description
We derive an exact model for a critical spin chain with
arbitrary spin S, which includes the Haldane-Shastry model
as the special case S=1/2. While spinons in the
Haldane--Shastry model obey abelian half-fermi statistics,
the spinons in the general model introduced here obey
non-abelian statistics. This manifests itself through
topological choices for the fractional momentum spacings.
The general model is derived by mapping exact models of
quantized Hall states onto spin chains. The lecture begins
with pedagogical review of the Gutzwiller wave functions
for S=1/2.
