Ground States for Potts Model with Competing Interactions on Cayley Tree
G.I. Botirov
TL;DR
This paper investigates the ground states of a four-state Potts model with competing two-step interactions on a Cayley tree, identifying periodic configurations and confirming the Peierls condition.
Contribution
It provides a detailed description of periodic ground states and verifies the Peierls condition for the Potts model with two-step interactions on Cayley trees.
Findings
Identification of periodic ground states.
Verification of the Peierls condition.
Analysis of the model's interaction structure.
Abstract
We consider the Potts model with two-step interactions and spin values 1,2,3,4 on a Cayley tree. We describe periodic ground states and verify the Peierls condition for the model.
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Taxonomy
TopicsTheoretical and Computational Physics · Stochastic processes and statistical mechanics · Opinion Dynamics and Social Influence