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GROUND STATES FOR THE SOS MODEL WITH COMPETING BINARY INTERACTIONS ON A CAYLEY TREE OF ORDER THREE

M. M. RahmatullaevИнститут Математики имени В.И. Романовского Академии Наук Республики УзбекистанBunyod U. AbraevЧирчикский государственный педагогический университет
2023en
ABI

Annotatsiya

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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