GROUND STATES FOR THE SOS MODEL WITH COMPETING BINARY INTERACTIONS ON A CAYLEY TREE OF ORDER THREE
GROUND STATES FOR THE SOS MODEL WITH COMPETING BINARY INTERACTIONS ON A CAYLEY TREE OF ORDER THREE
DOI:
https://doi.org/10.52754/16948645_2023_2_180Keywords:
Cayley tree, configuration, competing next-nearest-neighbor interactions, translation-invariant , periodic ground stateAbstract
We consider a SOS (solid-on-solid) model with nearest-neighbor interaction prolonged next-nearest-neighbor interaction and one level next-nearest-neighbor interaction where the spin takes values in the set on a Cayley tree of order three. In the paper, we study translation-invariant and periodic ground states of the model SOS.
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Rahmatullaev M.M., Abraev B.U., On ground states for the SOS model with competing interactions / M.M.Rahmatullaev, B.U. Abraev // Journal of Siberian Federal University, 2022, Vol 15. No.2 pp. 1-14. DOI: https://doi.org/10.17516/1997-1397-2022-15-2-160-173
Abraev B.U. Ground states for the SOS model with competing binary interactions on a Cayley tree / Abraev B.U. // Uzbek Mathematical Journal 2022, Volume 66, Issue 3, pp.10-20.
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