On an Algebraic Property of the Disordered Phase of the Ising Model with Competing Interactions on a Cayley Tree

2016 ◽  
Vol 19 (4) ◽  
Author(s):  
Farrukh Mukhamedov ◽  
Abdessatar Barhoumi ◽  
Abdessatar Souissi
Keyword(s):  
Ising Model ◽  
Cayley Tree ◽  
Algebraic Property ◽  
Competing Interactions ◽  
Disordered Phase

Types of factors generated by quantum Markov states of Ising model with competing interactions on the Cayley tree

2020 ◽  
Vol 23 (03) ◽  
pp. 2050019
Author(s):  
Farrukh Mukhamedov ◽  
Abdessatar Souissi
Keyword(s):  
Ising Model ◽  
Cayley Tree ◽  
Von Neumann Algebra ◽  
Competing Interactions ◽  
Von Neumann ◽  
Type Formula ◽  
Disordered Phase ◽  
Algebraic Properties ◽  
Competing Interaction

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].

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
Keyword(s):  
Ising Model ◽  
Cayley Tree ◽  
Competing Interactions

scholarly journals Exact solution of an Ising model with competing interactions on a Cayley tree

2003 ◽  
Vol 36 (15) ◽  
pp. 4283-4289 ◽  
Author(s):  
N N Ganikhodjaev ◽  
C H Pah ◽  
M R B Wahiddin
Keyword(s):  
Exact Solution ◽  
Ising Model ◽  
Cayley Tree ◽  
Competing Interactions

Phase diagram of the Ising Model on a Cayley tree in the presence of competing interactions and magnetic field

1985 ◽  
Vol 40 (3-4) ◽  
pp. 577-592 ◽  
Author(s):  
Ananias M. Mariz ◽  
Constantino Tsallis ◽  
E. L. Albuquerque
Keyword(s):  
Magnetic Field ◽  
Phase Diagram ◽  
Ising Model ◽  
Cayley Tree ◽  
Competing Interactions

Strange Attractor in the Ising Model with Competing Interactions on the Cayley Tree

1985 ◽  
Vol 54 (3) ◽  
pp. 163-166 ◽  
Author(s):  
C. S. O. Yokoi ◽  
M. J. de Oliveira ◽  
S. R. Salinas
Keyword(s):  
Ising Model ◽  
Strange Attractor ◽  
Cayley Tree ◽  
Competing Interactions
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