Correlation duality relations for the ($N_{\alpha}, N_{\beta}$) model
F. Y. Wu, Wentao T. Lu (Northeastern University)
TL;DR
This paper derives duality relations for boundary correlation functions in the $(N_{\alpha}, N_{\beta})$ model, applicable to arbitrary planar lattices with nonuniform interactions, for 2 and 3 site correlations.
Contribution
It introduces new duality relations for boundary correlations in the $(N_{\alpha}, N_{\beta})$ model, extending applicability to arbitrary lattices with nonuniform interactions.
Findings
Derived duality relations for 2-site correlations.
Extended duality relations to 3-site correlations.
Applicable to arbitrary planar lattices with nonuniform interactions.
Abstract
Duality relations for the correlation functions of sites on the boundary of a planar lattice are derived for the model of Domany and Riedel for . Our result holds for arbitrary lattices which can have nonuniform interactions.
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Taxonomy
TopicsRandom Matrices and Applications · Stochastic processes and statistical mechanics · Theoretical and Computational Physics