Quasi-one dimensional graphite ribbon structures in presence of magnetic field and on-site Coulomb correlation at half-filling

TL;DR

This paper investigates how Coulomb interactions and magnetic fields influence the ground state properties of quasi-one-dimensional graphite ribbons at half-filling, revealing phase diagrams and boundary effects using mean field approximation.

Contribution

It provides a comparative analysis of Coulomb and magnetic effects on graphite ribbon structures and boundary effects, using mean field theory to generate phase diagrams.

Findings

Phase diagrams for zigzag and armchair ribbons

Effects of Coulomb interaction and magnetic field on density of states

Boundary effects compared with square lattice ribbons

Abstract

We have presented the role of the Coulomb interaction ($U$) and the magnetic field ($\vec{B}$) on the ground state properties of the quasi-one dimensional graphite ribbon structures at half-filling. Mean field Hartree-Fock Approximation is used to study the systems. To understand the boundary effects in graphite structures, we have compared the results of these systems with those of the square lattice ribbon structures. Studying the density of states, the Drude weight and the charge gap, we have drawn the $U-B$ phase diagrams for the zigzag and the armchair graphite ribbons.