scholarly journals Ground state criteria in one-dimensional antiferromagnetic Ising model with long range interaction

2020 ◽  
Vol 61 (4) ◽  
pp. 043301
Author(s):  
Azer Kerimov
Keyword(s):  
Ising Model ◽  
Long Range ◽  
Ground State ◽  
Range Interaction ◽  
One Dimensional ◽  
Long Range Interaction ◽  
Antiferromagnetic Ising Model

One-dimensional Ising model with long-range interaction

1970 ◽  
Vol 31 (9) ◽  
pp. 479-480 ◽  
Author(s):  
L.J. Kijewski ◽  
M.P. Kawatra
Keyword(s):  
Ising Model ◽  
Long Range ◽  
Range Interaction ◽  
One Dimensional ◽  
Long Range Interaction

scholarly journals ONE-DIMENSIONAL LONG-RANGE FERROMAGNETIC ISING MODEL UNDER WEAK AND SPARSE EXTERNAL FIELD

2009 ◽  
Vol 23 (32) ◽  
pp. 5899-5906
Author(s):  
AZER KERIMOV
Keyword(s):  
Ising Model ◽  
External Field ◽  
Long Range ◽  
Low Temperatures ◽  
Gibbs State ◽  
Range Interaction ◽  
One Dimensional ◽  
Long Range Interaction ◽  
Ferromagnetic Ising Model ◽  
The One

We consider the one-dimensional ferromagnetic Ising model with very long range interaction under weak and sparse biased external field and prove that at sufficiently low temperatures, the model has a unique limiting Gibbs state.

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