Band gap in graphene with one boron and one nitrogen atom per unit cell

[hesky]

I had a task from my supervisor, graphene layer has 2 Carbon atoms per unit cell. What will happen if the atoms are replaced by one atom Boron and one atom Nitrogen? Will we found an open band gap?
Would you please inform me any literature concerning it?

 

[guyingfei]

I guess it will open a gap because it break the space inverse symmetry. You can get help from the famous Haldane Model.

 

[hesky]

Thank you very much guyingfei. I'll try it