scholarly journals Snapshot Observation for 2D Classical Lattice Models by Corner Transfer Matrix Renormalization Group

2005 ◽  
Vol 74 (Suppl) ◽  
pp. 111-114 ◽  
Author(s):  
Kouji Ueda ◽  
Ryota Otani ◽  
Yukinobu Nishio ◽  
Andrej Gendiar ◽  
Tomotoshi Nishino
Keyword(s):  
Renormalization Group ◽  
Transfer Matrix ◽  
Lattice Models ◽  
Classical Lattice

A renormalization group analysis of lattice models of two-dimensional membranes

1989 ◽  
Vol 55 (1-2) ◽  
pp. 29-85 ◽  
Author(s):  
Jan Ambj�rn ◽  
Bergfinnur Durhuus ◽  
J�rg Fr�hlich ◽  
Th�rdur J�nsson
Keyword(s):  
Renormalization Group ◽  
Group Analysis ◽  
Lattice Models ◽  
Two Dimensional ◽  
Renormalization Group Analysis

MEAN-FIELD RENORMALIZATION GROUP: BIBLIOGRAPHY AND NEW APPLICATIONS USING LARGE CLUSTERS

1993 ◽  
Vol 07 (10) ◽  
pp. 699-709 ◽  
Author(s):  
K. CROES ◽  
J. O. INDEKEU
Keyword(s):  
Renormalization Group ◽  
Mean Field ◽  
Lattice Models ◽  
Group Methods ◽  
Bulk Surface ◽  
Complete Bibliography ◽  
Large Clusters ◽  
New Applications ◽  
Mean Field Approximations ◽  
Field Renormalization

Renormalization group recursions based on mean-field approximations [J. O. Indekeu, A. Maritan, and A. L. Stella, J. Phys.A15, L291 (1982)], commonly referred to as mean-field renormalization group methods (MFRG), have proven to be efficient and easily applicable for computing non-classical critical properties of lattice models. We give a fairly complete bibliography of applications to date, and extend previous test calculations of bulk, surface, and corner critical exponents in the two-dimensional Ising model to larger cluster sizes on triangular, square (including crossing bonds), and honeycomb lattices. Without much effort the exact value of the critical exponent ratioyH/yT is reproduced systematically with a precision of 2%. This ratio turns out to be the most accurate probe of non-classical critical behaviour that is available in the MFRG method.

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