Periodic and weakly periodic ground states corresponding to subgroups of index three for the ising model on cayley tree

For the Ising model on a Cayley tree of order two, we describe a set of periodic and weakly periodic ground states that correspond to subgroups of index 3 of the group representation of the Cayley tree.

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Bibliographic Details
Published in:Reports on mathematical physics 2021-10, Vol.88 (2), p.247-257
Main Authors: Rahmatullaev, M.M., Egamov, D.O., Haydarov, F.H.
Format: Article
Language:English
Subjects:
Cayley tree
configuration
ground state
Ising model
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Description
Summary:For the Ising model on a Cayley tree of order two, we describe a set of periodic and weakly periodic ground states that correspond to subgroups of index 3 of the group representation of the Cayley tree.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(21)00072-0