Renormalization-group analysis of an Ising model with competing axial interactions in a field

1983 ◽  
Vol 31-34 ◽  
pp. 1265-1267 ◽  
Author(s):  
M.D. Coutinho-Filho ◽  
C.S.O. Yokoi ◽  
S.R. Salinas
Keyword(s):  
Renormalization Group ◽  
Ising Model ◽  
Group Analysis ◽  
Renormalization Group Analysis

Renormalization group analysis of a constrained Ising model

1974 ◽  
Vol 46 (7) ◽  
pp. 449-450 ◽  
Author(s):  
J. Rudnick ◽  
D.J. Bergman ◽  
Y. Imry
Keyword(s):  
Renormalization Group ◽  
Ising Model ◽  
Group Analysis ◽  
Renormalization Group Analysis

scholarly journals DOMAIN WALL RENORMALIZATION GROUP ANALYSIS OF TWO-DIMENSIONAL ISING MODEL

2009 ◽  
Vol 23 (18) ◽  
pp. 3739-3751 ◽  
Author(s):  
KEN-ICHI AOKI ◽  
TAMAO KOBAYASHI ◽  
HIROSHI TOMITA
Keyword(s):  
Renormalization Group ◽  
Ising Model ◽  
Domain Wall ◽  
Domain Walls ◽  
Group Analysis ◽  
Coarse Graining ◽  
Group Method ◽  
Two Dimensional ◽  
Renormalization Group Analysis ◽  
Renormalization Transformation

Using a recently proposed new renormalization group method (tensor renormalization group), we analyze the Ising model on the two-dimensional square lattice. For the lowest-order approximation with two-domain wall states, it realizes the idea of coarse graining of domain walls. We write down explicit analytic renormalization transformation and prove that the picture of the coarse graining of the physical domain walls does hold for all physical renormalization group flows. We solve it to get the fixed point structure and obtain the critical exponents and the critical temperature. These results are very near to the exact values. We also briefly report the improvement using four-domain wall states.

RENORMALIZATION GROUP ANALYSIS OF THE ISING MODEL ON TWO-DIMENSIONAL QUASI-LATTICES

1988 ◽  
Vol 02 (01) ◽  
pp. 13-35 ◽  
Author(s):  
HIDEAKI AOYAMA ◽  
TAKASHI ODAGAKI
Keyword(s):  
Phase Transition ◽  
Renormalization Group ◽  
Critical Temperature ◽  
Ising Model ◽  
Group Analysis ◽  
Critical Index ◽  
Two Dimensional ◽  
Renormalization Group Analysis

We present a renormalization group analysis of the two-dimensional Ising model on both the Kite-Dart and Rhombi Penrose lattices in which spins are located at the vertices of the lattice. We demonstrate the existence of the phase transition and obtain the critical temperature and the thermal critical index. The thermal critical index is found to be close to unity.

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