Periodic ground states for the mixed spin ising model with competing interactions on a Cayley tree

Farrukh Mukhamedov; Muzaffar M. Rahmatullaev; Dilshodbek O. EgAMOV

doi:10.1016/S0034-4877(23)00041-1

Periodic ground states for the mixed spin ising model with competing interactions on a Cayley tree

Farrukh Mukhamedov
, Muzaffar M. Rahmatullaev
, Dilshodbek O. EgAMOV

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In the present paper, translation-invariant and periodic ground states are described for a mixed spin Ising model with competing interactions on the Cayley tree of order two. The limiting behaviour of various Gibbs measures of our mixed spin Ising model is discussed as well.

Original language	English
Pages (from-to)	379-393
Number of pages	15
Journal	Reports on Mathematical Physics
Volume	91
Issue number	3
DOIs	https://doi.org/10.1016/S0034-4877(23)00041-1
Publication status	Published - Jun 2023

Keywords

Cayley tree
competing interactions
ground state
mixed Ising model

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1016/S0034-4877(23)00041-1

Cite this

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title = "Periodic ground states for the mixed spin ising model with competing interactions on a Cayley tree",

abstract = "In the present paper, translation-invariant and periodic ground states are described for a mixed spin Ising model with competing interactions on the Cayley tree of order two. The limiting behaviour of various Gibbs measures of our mixed spin Ising model is discussed as well.",

keywords = "Cayley tree, competing interactions, ground state, mixed Ising model",

author = "Farrukh Mukhamedov and Rahmatullaev, \{Muzaffar M.\} and EgAMOV, \{Dilshodbek O.\}",

note = "Publisher Copyright: {\textcopyright} 2023 Polish Scientific Publishers",

year = "2023",

month = jun,

doi = "10.1016/S0034-4877(23)00041-1",

language = "English",

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AU - Mukhamedov, Farrukh

AU - Rahmatullaev, Muzaffar M.

AU - EgAMOV, Dilshodbek O.

PY - 2023/6

Y1 - 2023/6

N2 - In the present paper, translation-invariant and periodic ground states are described for a mixed spin Ising model with competing interactions on the Cayley tree of order two. The limiting behaviour of various Gibbs measures of our mixed spin Ising model is discussed as well.

AB - In the present paper, translation-invariant and periodic ground states are described for a mixed spin Ising model with competing interactions on the Cayley tree of order two. The limiting behaviour of various Gibbs measures of our mixed spin Ising model is discussed as well.

KW - Cayley tree

KW - competing interactions

KW - ground state

KW - mixed Ising model

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UR - https://www.scopus.com/pages/publications/85163843065#tab=citedBy

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DO - 10.1016/S0034-4877(23)00041-1

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VL - 91

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JO - Reports on Mathematical Physics

JF - Reports on Mathematical Physics

IS - 3

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Periodic ground states for the mixed spin ising model with competing interactions on a Cayley tree

Abstract

Keywords

ASJC Scopus subject areas

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