Improved Transfer-Matrix 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 free-energy density are considered. These transformations are tested on the 2D square Ising and Potts models as well as on the 3D simple-cubic Ising model. Variants of RG equations yielding more accurate results than Nightingale's RG scheme are obtained. In the 2D case the finite-size 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/S0920-5632(00)91789-4
- arXiv:
- arXiv:hep-lat/9908019
- Bibcode:
- 2000NuPhS..83..727Y
- Keywords:
-
- High Energy Physics - Lattice;
- Condensed Matter;
- High Energy Physics - Theory
- E-Print:
- LATTICE99(spin), 3 pages, no figures