![[Back]](/images/prevpage.gif)
![[Index]](/images/index.gif)
![[Help]](/images/help.gif)
![[MSI]](/images/msi.gif)
![[ANU Online]](/images/online.gif)
Mathematics Research Report CMA-MRR79-94
Temperley Lieb Words As Valence Bond Ground States
Peter F. Arndt, Thomas Heinzel and C.M. Yung
Abstract:
Based on the Temperley-Lieb algebra we define a class of one-dimensional
Hamiltonians
with nearest and next-nearest neighbour interactions. Using the regular
representation
we give ground states of this model as words of the algebra. Two point
correlation
functions can be computed employing the Temperley-Lieb relations. Choosing a
spin-½ representation of the algebra we obtain a
generalization of
the (q-deformed) Majumdar-Ghosh model. The ground states become
valence-bond
states.
This service is maintained by the
Mathematical Sciences Institute (MSI)
Comments to
webmaster@maths.anu.edu.au
URL: http://wwwmaths.anu.edu.au/