English

The Correlated Block Renormalization Group

Condensed Matter 2009-10-28 v1 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.cond-mat/9512130,
  title  = {The Correlated Block Renormalization Group},
  author = {Miguel A. Martin-Delgado and Javier Rodriguez-Laguna and German Sierra},
  journal= {arXiv preprint arXiv:cond-mat/9512130},
  year   = {2009}
}

Comments

LATEX file, 18 pages, 7 figures available upon request