Periodic Ground States for the Potts Model with External Field and a Countable Set of Spin Values on the Cayley Tree

For the Potts model with external field and a countable set of spin values on the Cayley tree of order , 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...

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Bibliographic Details
Published in:	Mathematical Notes Vol. 112; no. 1-2; pp. 116 - 125
Main Authors:	Rahmatullaev, M. M., Rasulova, M. A.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01-08-2022
Subjects:	14/34 639/766/189 639/766/530 639/766/747 Mathematics Mathematics and Statistics ground states Potts model with external field Cayley tree
Online Access:	Get full text
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Summary:	For the Potts model with external field and a countable set of spin values on the Cayley tree of order , 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.
ISSN:	0001-4346 1573-8876
DOI:	10.1134/S0001434622070136