TRANSLATION-INVARIANT GROUND STATES FOR THE CHUI–WEEKS MODEL WITH FOUR SPIN STATES ON A CAYLEY TREE OF ORDER TWO

Authors

  • Muslimaxon Hakimova Student of the Physics and Mathematics Faculty of NamSU

Keywords:

Cayley tree, Chui-Weeks model, ground state, translation-invariant ground state.

Abstract

In this work, the four-state Chui-Weeks model on the second-order Cayley tree is considered. For this model, all translation-invariant ground states are described.

References

1. Rahmatullaev M. M., Rasulova M. A., Hakimova M. A. Periodic ground states for the Chui-Weeks model on the Cayley tree of order two // Acta NUUz: Exact sciences. 2024. No. 2/2.1. P. 104–110.

2. Rahmatullaev M. M., Rasulova M. A., Hakimova M. A. On periodic ground states for the Chui-Weeks model // Acta NUUz, Exact sciences, 2025, №2/2, 2025, pp. 105–110.

3. Rasulova M. A., Hakimova M. A. Periodic Ground States for the Chui-Weeks Model on the Cayley Tree of Order Three // Letters in Mathematical Physics. 2025 (accepted).

4. Rozikov U. A. Gibbs measures on Cayley trees. Singapore: World Scientific, 2013.

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Published

2025-10-31

How to Cite

Hakimova , M. (2025). TRANSLATION-INVARIANT GROUND STATES FOR THE CHUI–WEEKS MODEL WITH FOUR SPIN STATES ON A CAYLEY TREE OF ORDER TWO. DEVELOPMENT OF EDUCATION AND SCIENCE IN THE ERA OF DIGITAL TRANSFORMATION, 1(1), 76–79. Retrieved from https://worldconferences.us/index.php/des/article/view/314