How we can add magnetic field term in graphene nanoribbon Hamiltonian

[Surender Pratap]

I have constructed GNR(graphene nanoribbon Hamiltonian) which is of 18 by 18 matrix,i want to add magnetic field term how i can do that ,since earlier B was taken to be zero.
Thanks

 

[eljose79]

for sharing your work on the GNR Hamiltonian! Adding a magnetic field term to your matrix is a great idea, as it can help provide more insights into the properties of the GNR. There are a few different ways you can approach this, depending on your specific research goals and the techniques you have available.

One option is to use the Zeeman effect, which describes the interaction between a magnetic field and the spin of a particle. This can be incorporated into your Hamiltonian by adding a term that accounts for the magnetic field's effect on the spin of the electrons in the GNR. This can be done by adding a spin-orbit coupling term to the Hamiltonian, which will account for the interaction between the magnetic field and the spin of the electrons.

Another approach is to use the Landau quantization, which describes the energy levels of charged particles in a magnetic field. This can be incorporated into your Hamiltonian by adding a term that accounts for the effect of the magnetic field on the energy levels of the electrons in the GNR. This can be done by adding a potential term to the Hamiltonian, which will account for the potential energy of the electrons in the magnetic field.

It's also worth considering the strength and orientation of the magnetic field you want to add to your Hamiltonian. Depending on the specific properties of your GNR, you may want to vary the strength and orientation of the magnetic field to see how it affects the behavior of the electrons in the GNR.

Overall, adding a magnetic field term to your GNR Hamiltonian can provide valuable insights into the behavior of the electrons in the GNR and can help further your research in this area. I wish you the best of luck with your work!