Quantum graph spectra of a graphyne structure

TL;DR

This paper analyzes the spectral properties and dispersion relations of Schrödinger operators on a graphyne structure, revealing its band-gap features and Dirac points, which are crucial for understanding its electronic behavior.

Contribution

It provides a detailed spectral analysis of graphyne, including the band-gap structure and Dirac points, advancing understanding of its quantum properties.

Findings

Identification of spectral bands and gaps.

Characterization of Dirac points.

Insights into electronic properties of graphyne.

Abstract

We study the dispersion relations and spectra of invariant Schr\"odinger operators on a graphyne structure (lithographite). In particular, description of different parts of the spectrum, band-gap structure, and Dirac points are provided.