Periodic Ground States for the Potts Model with External Field and a Countable Set of Spin Values on the Cayley Tree
Matematičeskie zametki, Tome 112 (2022) no. 1, pp. 106-117
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For the Potts model with external field and a countable set of spin values on the Cayley tree of order $k\ge2$, the set of periodic ground states corresponding to normal divisors of indices 2 and 4 of the group presentation of the Cayley tree is described and the set of nonperiodic ground states is studied.
Keywords:
Cayley tree, Potts model with external field, ground states.
@article{MZM_2022_112_1_a10,
author = {M. M. Rahmatullaev and M. A. Rasulova},
title = {Periodic {Ground} {States} for the {Potts} {Model} with {External} {Field} and a {Countable} {Set} of {Spin} {Values} on the {Cayley} {Tree}},
journal = {Matemati\v{c}eskie zametki},
pages = {106--117},
publisher = {mathdoc},
volume = {112},
number = {1},
year = {2022},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2022_112_1_a10/}
}
TY - JOUR AU - M. M. Rahmatullaev AU - M. A. Rasulova TI - Periodic Ground States for the Potts Model with External Field and a Countable Set of Spin Values on the Cayley Tree JO - Matematičeskie zametki PY - 2022 SP - 106 EP - 117 VL - 112 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2022_112_1_a10/ LA - ru ID - MZM_2022_112_1_a10 ER -
%0 Journal Article %A M. M. Rahmatullaev %A M. A. Rasulova %T Periodic Ground States for the Potts Model with External Field and a Countable Set of Spin Values on the Cayley Tree %J Matematičeskie zametki %D 2022 %P 106-117 %V 112 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2022_112_1_a10/ %G ru %F MZM_2022_112_1_a10
M. M. Rahmatullaev; M. A. Rasulova. Periodic Ground States for the Potts Model with External Field and a Countable Set of Spin Values on the Cayley Tree. Matematičeskie zametki, Tome 112 (2022) no. 1, pp. 106-117. http://geodesic.mathdoc.fr/item/MZM_2022_112_1_a10/