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The Correlated Block Renormalization Group

arXiv:cond-mat/9512130 · doi:10.1016/0550-3213(96)00197-6

Abstract

We formulate the standard real-space renormalization group method in a way which takes into account the correlation between blocks. This is achieved in a dynamical way by means of operators which reflect the influence on a given block of its neighbours. We illustrate our method in the example of the tight-binding model in 1D and 2D for various types of boundary conditions.

LATEX file, 18 pages, 7 figures available upon request