An SU(3) Yang-Mills Structure for Electron-Phonon Interactions Resulting from Strong Electron Correlations in 2D hexagonal lattices

TL;DR

This paper develops an SU(3) theoretical framework to describe the complex interactions between lattice fluctuations and strong electron correlations in 2D hexagonal materials like graphene, aiming to improve material optimization strategies.

Contribution

It introduces a novel SU(3) model by reinterpreting Gell-Mann matrices as transformations on position states, linking lattice dynamics with electron correlations.

Findings

Provides a new mathematical description of electron-lattice interactions.

Offers insights into optimizing 2D material performance.

Enhances understanding of strong correlation effects in hexagonal lattices.

Abstract

Concise and powerful mathematical descriptions of the interplay of spin and charge degrees of degrees of freedom with crystal lattice fluctuations are of extreme importance in materials science. Such descriptions allow structured approaches to optimizing material efficiencies resulting in considerable resource savings and higher performance devices. In this work, by re-imagining the the Gell-Mann matrices as 3$\times$3 linear transformations acting on a column vector of position states, an SU(3) theory of the interplay between lattice fluctuations and strong electron correlations in 2-dimensional hexagonal materials such as graphene is formulated.