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1. Phys. A: Math, Gen. 28 (1995) 3567-3578. Printed in the UK Numerical investigation of correlation functions for the
 

Summary: 1. Phys. A: Math, Gen. 28 (1995) 3567-3578. Printed in the UK
Numerical investigation of correlation functions for the
UqSU(2)invariant spin-; Heisenberg chain
Peter F Arndt and Thomas Heinzel
PhysikalischesInstitut. Universitu Bonn, NuEallee 12,53115 Bonn, Germany
Received 8 March 1995
AbstracL We consider.the UqSU(2) invariant spin-; xxz quantum spin chain at the roots
of unity q = exp(ix/(m i I)), correspondingto different minimal models of conformal field
theory. We conduct a numerical investigation of the correlation functions of UqSU(2)scalar
two-pointoperators in order to find which operatorsin theminimal models they correspond to.
Using graphical representationsof the Temperley-Lieb algebra we are able to deal with chains
of up to 28 sites. Dependingon q. the correlation functions show differentcharacteestics and
finite-size behaviour. For m = 213, which correspondsto the L-Yang edge singularity, we
find the surface and bulk critical exponent -1j5. Together with the known result in the case
m =3 (king model) this indicates that in the continuum limit the tWO-pOint operators involve
conformal fields of s p i n - s . For other roo$ of unity q the.&ains are too short to determine
thesurface and bulk uitical exponents.
1. Introduction
We considertwo-point correlation functions for a class of one-dimensionalquantum models
on a chain of N sites defined in terms of the Hamiltonian [1,2]

  

Source: Arndt, Peter - Max-Planck-Institut für molekulare Genetik

 

Collections: Physics; Biotechnology