Application of Non-local Quantum Hydrodynamics to the Description of the Charged Density Waves in the Graphen Crystal Lattice

TL;DR

This paper models charged particle motion in graphene using non-local quantum hydrodynamics, demonstrating that such motion can form solitons whose size and structure depend on physical parameters.

Contribution

It introduces a quantum non-local hydrodynamic approach to describe charged density waves in graphene, highlighting soliton formation as a key phenomenon.

Findings

Charged particles in graphene can form solitons.

Soliton size and structure depend on physical parameters.

Mathematical modeling supports soliton existence in this context.

Abstract

The motion of the charged particles in graphen in the frame of the quantum non-local hydrodynamic description is considered. It is shown as results of the mathematical modeling that the mentioned motion is realizing in the soliton forms. The dependence of the size and structure of solitons on the different physical parameters is investigated.