A chain model of a zigzag contact of lateral graphene-like heterostructures

A simple structural model is proposed for the zigzag interface formed by contacting two-dimensional graphene-like compounds $AB$ and $CD$ (both free and formed on a metal). For the graphene–hexagonal boron nitride system, analytical expressions for the electron spectrum, density of states, and atom occupation numbers at the interface are obtained. The results of calculating the densities of states and occupation numbers within two alternative approximations are in good agreement.