Improved Transfer-Matrix Schemes of Phenomenological Renormalization
M. A. Yurishchev
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.
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