Dear friendsWe know that applying electric field will modify the hamiltonian by 
adding a term E.P. My question is why the application of perpendicular electric 
filed on z direction( our vacuum is in z direction) is logically allowed, but 
not about the parallel electric field in x or y direction( which we have 
periodic boundary condition)? Is it possible to apply in-plane electric 
field(which is made of saw-like potential) along x or y direction on 
freestanding periodic graphene.? If yes, how?
I appreciate any help.

Thanks  a lot
Toktam Morshedloo, Physics Dept., PNU university
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