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

Journal of Physics A General Physics ◽

10.1088/0305-4470/36/15/305 ◽

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

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Ising model on the Cayley tree with competing interactions up to the third Nearest-neighbors with spins belonging to different branches of the tree

Journal of the Korean Physical Society ◽

10.3938/jkps.66.1200 ◽

2015 ◽

Vol 66 (8) ◽

pp. 1200-1206 ◽

Author(s):

Nasir Ganikhodjaev ◽

Mohd Hirzie Mohd Rodzhan

Keyword(s):

Ising Model ◽

Cayley Tree ◽

Nearest Neighbors ◽

Competing Interactions ◽

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Ising model with competing interactions on a Cayley tree

Journal of Statistical Physics ◽

10.1007/bf01009804 ◽

1983 ◽

Vol 33 (2) ◽

pp. 419-436 ◽

Author(s):

Sakari Inawashiro ◽

Colin J. Thompson ◽

Goshi Honda

Keyword(s):

Ising Model ◽

Cayley Tree ◽

Competing Interactions

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Exact solution for an Ising model on the Cayley tree of order 5

10.1063/1.4954524 ◽

2016 ◽

Author(s):

Hakim Jamil ◽

Chin Hee Pah

Keyword(s):

Exact Solution ◽

Ising Model ◽

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On Ising Model with Four Competing Interactions on Cayley Tree

Mathematical Physics Analysis and Geometry ◽

10.1007/s11040-009-9056-0 ◽

2009 ◽

Vol 12 (2) ◽

pp. 141-156 ◽

Author(s):

N. N. Ganikhodjaev ◽

U. A. Rozikov

Keyword(s):

Ising Model ◽

Cayley Tree ◽

Competing Interactions

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Third and fourth order phase transitions: Exact solution for the Ising model on the Cayley tree

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2008.12.051 ◽

2009 ◽

Vol 388 (7) ◽

pp. 1074-1078

Author(s):

Borko D. Stošić ◽

Tatijana Stošić ◽

Ivon P. Fittipaldi

Keyword(s):

Exact Solution ◽

Phase Transitions ◽

Ising Model ◽

Fourth Order ◽

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

Mathematical Physics Analysis and Geometry ◽

10.1007/s11040-016-9225-x ◽

2016 ◽

Vol 19 (4) ◽

Author(s):

Farrukh Mukhamedov ◽

Abdessatar Barhoumi ◽

Abdessatar Souissi

Keyword(s):

Ising Model ◽

Cayley Tree ◽

Algebraic Property ◽

Competing Interactions ◽

Disordered Phase

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Modulated structures in the Ising model with competing interactions on the Cayley tree

Physical Review B ◽

10.1103/physrevb.47.778 ◽

1993 ◽

Vol 47 (2) ◽

pp. 778-786 ◽

Author(s):

J. G. Moreira ◽

S. R. Salinas

Keyword(s):

Ising Model ◽

Cayley Tree ◽

Competing Interactions ◽

Modulated Structures

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

Journal of Statistical Physics ◽

10.1007/bf01017186 ◽

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

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Ising Model with Competing Interactions on Cayley Tree of Order 4: An Analytic Solution

Journal of Physics Conference Series ◽

10.1088/1742-6596/435/1/012032 ◽

2013 ◽

Vol 435 ◽

pp. 012032 ◽

Author(s):

Rukiah bin Ali ◽

Farrukh Mukhamedov ◽

Chin Hee Pah

Keyword(s):

Ising Model ◽

Cayley Tree ◽

Analytic Solution ◽

Competing Interactions

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Weakly periodic ground states and Gibbs measures for the Ising model with competing interactions on the Cayley tree

Theoretical and Mathematical Physics ◽

10.1007/s11232-009-0116-1 ◽

2009 ◽

Vol 160 (3) ◽

pp. 1292-1300 ◽

Author(s):

U. A. Rozikov ◽

M. M. Rakhmatullaev

Keyword(s):

Ising Model ◽

Cayley Tree ◽

Gibbs Measures ◽

Ground States ◽

Competing Interactions

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