Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2007-02-26
J.Phys.Soc.Jap.76:063001,2007
Physics
Condensed Matter
Statistical Mechanics
4 pages, 6 figures, typos corrected, final version
Scientific paper
10.1143/JPSJ.76.063001
We present a novel real-space renormalization group(RG) for the one-dimensional XXZ model in the critical regime, reconsidering the role of the cut-off parameter in Wilson's RG for the Kondo impurity problem. We then demonstrate the RG calculation for the XXZ chain with the free boundary. Comparing the hierarchical structure of the obtained low-energy spectrum with the Bethe ansatz result, we find that the proper scaling dimension is reproduced as a fixed point of the RG transformation.
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