Improved TransferMatrix Schemes of Phenomenological Renormalization
Abstract
Different phenomenological RG transformations based on scaling relations for the derivatives of the inverse correlation length and singular part of the freeenergy density are considered. These transformations are tested on the 2D square Ising and Potts models as well as on the 3D simplecubic Ising model. Variants of RG equations yielding more accurate results than Nightingale's RG scheme are obtained. In the 2D case the finitesize equations which give the exact values of the critical point or the critical exponent are found.
 Publication:

Nuclear Physics B Proceedings Supplements
 Pub Date:
 2000
 DOI:
 10.1016/S09205632(00)917894
 arXiv:
 arXiv:heplat/9908019
 Bibcode:
 2000NuPhS..83..727Y
 Keywords:

 High Energy Physics  Lattice;
 Condensed Matter;
 High Energy Physics  Theory
 EPrint:
 LATTICE99(spin), 3 pages, no figures