Ising model with competing interactions on a Cayley tree

1983 ◽  
Vol 33 (2) ◽  
pp. 419-436 ◽  
Author(s):  
Sakari Inawashiro ◽  
Colin J. Thompson ◽  
Goshi Honda
2009 ◽  
Vol 12 (2) ◽  
pp. 141-156 ◽  
Author(s):  
N. N. Ganikhodjaev ◽  
U. A. Rozikov

2003 ◽  
Vol 36 (15) ◽  
pp. 4283-4289 ◽  
Author(s):  
N N Ganikhodjaev ◽  
C H Pah ◽  
M R B Wahiddin

1993 ◽  
Vol 47 (2) ◽  
pp. 778-786 ◽  
Author(s):  
J. G. Moreira ◽  
S. R. Salinas

1985 ◽  
Vol 40 (3-4) ◽  
pp. 577-592 ◽  
Author(s):  
Ananias M. Mariz ◽  
Constantino Tsallis ◽  
E. L. Albuquerque

2013 ◽  
Vol 435 ◽  
pp. 012032 ◽  
Author(s):  
Rukiah bin Ali ◽  
Farrukh Mukhamedov ◽  
Chin Hee Pah

Author(s):  
Farrukh Mukhamedov ◽  
Abdessatar Souissi

In this paper, we consider Quantum Markov States (QMS) corresponding to the Ising model with competing interactions on the Cayley tree of order two. Earlier, some algebraic properties of these states were investigated. In this paper, we prove that if the competing interaction is rational then the von Neumann algebra, corresponding to the QMS associated with disordered phase of the model, has type [Formula: see text], [Formula: see text].


1985 ◽  
Vol 54 (3) ◽  
pp. 163-166 ◽  
Author(s):  
C. S. O. Yokoi ◽  
M. J. de Oliveira ◽  
S. R. Salinas

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