# Lattice symmetries, spectral topology and opto-electronic properties of graphene-like materials

## TL;DR

This paper investigates how lattice symmetries influence the spectral topology and opto-electronic properties of graphene-like materials, revealing anisotropy effects on diffusion and optical conductivity related to band structure deformations.

## Contribution

It introduces an analysis of anisotropic honeycomb lattices, showing how spectral topology affects optical and transport properties, including super- and subdiffusion phenomena.

## Key findings

- Anisotropic lattice deformation leads to super- and subdiffusion.
- Van Hove singularities in optical conductivity are linked to spectral saddle points.
- Spectral topology can be characterized experimentally through optical measurements.

## Abstract

The topology of the band structure, which is determined by the lattice symmetries, has a strong influence on the transport properties. Here we consider an anisotropic honeycomb lattice and study the effect of a continuously deformed band structure on the optical conductivity and on diffusion due to quantum fluctuations. In contrast to the behavior at an isotropic node we find super- and subdiffusion for the anisotropic node. The spectral saddle points create van Hove singularities in the optical conductivity, which could be used to characterize the spectral properties experimentally.