GROUND STATES FOR THE POTTS MODEL WITH COMPETING INTERACTIONS ON CAYLEY TREE

This paper investigates the ground states of the q-state Potts model on the Cayley tree, incorporating both nearest neighbor (J₁) and next-nearest neighbor (J₂) interactions. By analyzing 81 possible spin configurations on a central vertex and its direct neighbors, we compute the energy of each configuration using the Hamiltonian and determine which minimize the energy. The results contribute to a better understanding of the phase behavior of statistical systems with competing interactions.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-07
DOI
https://doi.org/10.5281/zenodo.15612399
Primary Topic
Theoretical and Computational Physics
Type
article
Field-Weighted Citation Impact
0.00
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article

GROUND STATES FOR THE POTTS MODEL WITH COMPETING INTERACTIONS ON CAYLEY TREE

Zenodo (CERN European Organization for Nuclear Research)
Theoretical and Computational Physics
article

GROUND STATES FOR THE POTTS MODEL WITH COMPETING INTERACTIONS ON CAYLEY TREE

article en

Abstract

This paper investigates the ground states of the q-state Potts model on the Cayley tree, incorporating both nearest neighbor (J₁) and next-nearest neighbor (J₂) interactions. By analyzing 81 possible spin configurations on a central vertex and its direct neighbors, we compute the energy of each configuration using the Hamiltonian and determine which minimize the energy. The results contribute to a better understanding of the phase behavior of statistical systems with competing interactions.

Zenodo (CERN European Organization for Nuclear Research)
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GROUND STATES FOR THE POTTS MODEL WITH COMPETING INTERACTIONS ON CAYLEY TREE · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS