A unified effective‐field renormalization‐group framework approach for the quenched diluted Ising models

1994 ◽  
Vol 75 (10) ◽  
pp. 5832-5834 ◽  
Author(s):  
Douglas F. de Albuquerque ◽  
I. P. Fittipaldi
Keyword(s):  
Renormalization Group ◽  
Ising Models ◽  
Effective Field ◽  
Framework Approach ◽  
Field Renormalization

THE NEW MEAN FIELD RENORMALIZATION GROUP FROM EFFECTIVE FIELD THEORY

1995 ◽  
Vol 09 (24) ◽  
pp. 1617-1621 ◽  
Author(s):  
F. O. COELHO ◽  
J. A. PLASCAK
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Effective Field Theory ◽  
Order Parameter ◽  
Mean Field ◽  
Previous Treatment ◽  
Field Approximation ◽  
Effective Field ◽  
Mean Field Approximation ◽  
Field Renormalization

The new mean field renormalization group is used to study the Ising model through the calculation of the order parameter by means of the effective field theory based on Callen–Suzuki identity. By considering one- and two-spin clusters, better results are obtained when compared to the previous treatment using the usual mean field approximation.

MEAN FIELD RENORMALIZATION GROUP FOR ISING MODELS WITH S≥1

1996 ◽  
Vol 10 (22) ◽  
pp. 1067-1076 ◽  
Author(s):  
D. PEÑA LARA ◽  
J.A. PLASCAK
Keyword(s):  
Renormalization Group ◽  
Mean Field ◽  
Finite Size ◽  
Ising Models ◽  
Mean Value ◽  
Transition Line ◽  
Present Formalism ◽  
Second Order Transition ◽  
The Mean ◽  
Field Renormalization

The mean field renormalization group is extended in order to study spin-S Ising models (S≥1) by introducing additional parameters in the Hamiltonians of the clusters, in the same spirit as the mean field approach. These new parameters are then consistently obtained according to finite size scaling ideas and quite good results are obtained, even for the smallest choice of the clusters. Moreover, the mean value of the square of the spin along the second-order transition line can also be obtained from the present formalism.

Sign in / Sign up

Export Citation Format

Share Document