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Works cited by this work

35 works

Work: Periodic ground states for the mixed spin ising model with competing interactions on a Cayley tree

  1. Gibbs Measures and Phase Transitions

    Hans-Otto Georgii

    Book198881 citations
    ABI

  2. Theory of Phase Transitions: Rigorous Results

    Я.Г. Синай, J. Fritz

    Book201373 citations
    ABI

  3. On Pure Phases of the Ising Model on the Bethe Lattices

    P. M. Blekher, N. N. Ganikhodgaev

    Article199171 citations
    ABI

  4. Exactly Solved Models in Statistical Mechanics

    M. A. Moore

    Article198342 citations
    ABI

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

    U. A. Rozikov, M. M. Rakhmatullaev

    ArticleTheoretical and Computational PhysicsTheoretical and Mathematical Physics200938 citations
    ABI

  6. A Constructive Description of Ground States and Gibbs Measures for Ising Model with Two-Step Interactions on Cayley Tree

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200622 citations
    ABI

  7. On Gibbs Measures of Models with Competing Ternary and Binary Interactions and Corresponding von Neumann Algebras

    Farrukh Mukhamedov, U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200419 citations
    ABI

  8. Phase diagrams of classical lattice systems

    С. А. Пирогов, Ya. G. Sinaǐ

    Article197518 citations
    ABI

  9. A Contour Method on Cayley Trees

    U. A. Rozikov

    ArticleTheoretical and Computational PhysicsJournal of Statistical Physics200716 citations
    ABI

  10. Gibbs states on countable sets

    Christopher J. Preston

    Chapter197412 citations
    ABI

  11. On contour arguments for the three state Potts model with competing interactions on a semi-infinite Cayley tree

    Farrukh Mukhamedov, U. A. Rozikov, J. F. F. Mendes

    Article200712 citations
    ABI

  12. Modulated phase of an ising system with competing interactions on a Cayley tree

    J. Vannimenus

    Article198111 citations
    ABI

  13. Untitled

    Other10 citations
    ABI

  14. Extremality of Disordered Phase of λ-Model on Cayley Trees

    Farrukh Mukhamedov

    Article202210 citations
    ABI

  15. Cayley Trees and Bethe Lattices: A concise analysis for mathematicians and physicists

    Massimo Ostilli

    Article20128 citations
    ABI

  16. On ground states and phase transition for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e206" altimg="si4.svg"><mml:mi>λ</mml:mi></mml:math>-model with the competing Potts interactions on Cayley trees

    Farrukh Mukhamedov, Chin Hee Pah, Hakim Jamil +1

    ArticleTheoretical and Computational PhysicsPhysica A Statistical Mechanics and its Applications20208 citations
    ABI

  17. Gibbs measures and free energies of Ising–Vannimenus model on the Cayley tree

    Farrukh Mukhamedov, Hasan Akın, Otabek Khakimov

    Article20177 citations
    ABI

  18. Structure of ground states in three-dimensional using model with three-step interaction

    I. A. Kashapov

    Article19776 citations
    ABI

  19. Field behavior of an Ising model with competing interactions on the Bethe lattice

    M. H. R. Tragtenberg, Carlos S. O. Yokoi

    Article19954 citations
    ABI

  20. Phase diagram of an Ising model with competitive interactions on a Husimi tree and its disordered counterpart

    Massimo Ostilli, Farrukh Mukhamedov, J. F. F. Mendes

    Article20084 citations
    ABI

  21. Phase transition for the Ising model with mixed spins on a Cayley tree

    Hasan Akın, Farrukh Mukhamedov

    Article20224 citations
    ABI

  22. The classification of disordered phases of mixed spin (2,1/2) Ising model and the chaoticity of the corresponding dynamical system

    Hasan Akın

    Article20233 citations
    ABI

  23. Periodic and weakly periodic ground states corresponding to subgroups of index three for the ising model on cayley tree

    M. M. Rahmatullaev, D.O. Egamov, F. H. Haydarov

    ArticleTheoretical and Computational PhysicsReports on Mathematical Physics20212 citations
    ABI

  24. Untitled

    Other1 citations
    ABI

  25. Untitled

    Other1 citations
    ABI