Supersymmetric theories and graphene

TL;DR

This paper explores a supersymmetric 1+2 dimensional model derived from supergravity to describe electronic properties of graphene-like materials, linking geometric substrate parameters to Dirac mass terms.

Contribution

It introduces a novel top-down supersymmetric framework for modeling graphene's electronic behavior at Dirac points, connecting geometry with electronic properties.

Findings

Supersymmetric boundary conditions relate to graphene's Dirac equations.

Mass terms in Dirac equations can be derived from geometric parameters.

Potential for geometric control of electronic properties in 2D materials.

Abstract

We discuss a 1+2 dimensional model with unconventional supersymmetry at the boundary of an AdS${}_4$, \,$\mathcal{N}$-extended supergravity. The resulting features of the supersymmetric boundary open the possibility of describing the electronic properties of graphene-like 2D materials at the Dirac points \textbf{K} and \textbf{K'}, exploiting a top-down approach. The Semenoff and Haldane-type masses entering the corresponding Dirac equations can be then extrapolated from the geometric parameters of the model describing the substrate.