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Title

Real space renormalization group methods and quantum groups

AuthorsMartín-Delgado, Miguel Ángel; Sierra, Germán
Keywords[PACS] Renormalization-group, fractal, and percolation studies of phase transitions
[PACS] Lattice theory and statistics
Ising problems
[PACS] Quantized spin models
Issue Date1996
PublisherAmerican Physical Society
CitationPhysical Review Letters 76: 1146- 1149 (1996)
AbstractWe apply real space renormalization group (RG) methods to study two quantum group invariant Hamiltonians, that of the XXZ model and the Ising model in a transverse field (ITF) defined in an open chain with appropriate boundary terms. The quantum group symmetry is preserved under the RG transformation except for the appearance 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 irreducible representations of SUq(2) with q4 = 1. © 1996 The American Physical Society
URIhttp://hdl.handle.net/10261/102722
DOIhttp://dx.doi.org/10.1103/PhysRevLett.76.1146
Identifiersdoi: 10.1103/PhysRevLett.76.1146
issn: 0031-9007
Appears in Collections:(CFMAC-IFF) Artículos
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