Ground States for the Potts Model With Competing Interactions on Cayley Tree
Year: 2025
Type: conference-paper
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.
Author: Qo'qonboyeva I.N
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6930757704
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