Real Space Renormalization Group Methods and Quantum Groups

Details Real Space Renormalization Group Methods and Quantum Groups Real Space Renormalization Group Methods and Quantum Groups

1995-07-26

arxiv.org/abs/cond-mat/9507115v2

Phys.Rev.Lett.76:1146-1149,1996

Physics

Condensed Matter

7 pages, LATEX, no figures

Scientific paper

10.1103/PhysRevLett.76.1146

We apply real-space RG methods to study two quantum group invariant Hamiltonians, that of the XXZ model and the Ising model in a transverse field defined in an open chain with appropiate boundary terms. The quantum group symmetry is preserved under the RG transformation except for the appearence of a quantum group anomalous term which vanishes in the classical case. We obtain correctly the line of critical XXZ models. In the ITF model the RG-flow coincides with the tensor product decomposition of cyclic irreps. of $SU_q(2)$ with $q^4=1$.

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