A variational extension of the Migdal-Kadanoff real space renormalization group method is applied to a recently proposed d-dimensional lattice model describing some aspects of molecular orientation in solids. As expected the method yields the exact fixed point for d = 2, given the formal equivalence to the two-dimensional Ising model. For d = 3 such equivalence breaks down and an approximate estimate of the fixed point is explicitly recovered and compared to the mean-field prediction. The possible existence of an intermediate symmetric phase is discussed.
Variational Migdal-Kadanoff approach to molecular ordering on a lattice
SIRINGO, Fabio
1997-01-01
Abstract
A variational extension of the Migdal-Kadanoff real space renormalization group method is applied to a recently proposed d-dimensional lattice model describing some aspects of molecular orientation in solids. As expected the method yields the exact fixed point for d = 2, given the formal equivalence to the two-dimensional Ising model. For d = 3 such equivalence breaks down and an approximate estimate of the fixed point is explicitly recovered and compared to the mean-field prediction. The possible existence of an intermediate symmetric phase is discussed.File in questo prodotto:
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