https://doi.org/10.1140/epjb/s10051-021-00161-4
Regular Article - Solid State and Materials
Bound states for massive Dirac fermions in graphene in a magnetic step field
1
Dipartimento di Fisica e Astronomia, University of Padova, via F. Marzolo 8, 35151, Padua, Italy
2
Material and Energy Research Center, Tehran, Iran
Received:
18
March
2021
Accepted:
9
July
2021
Published online:
20
July
2021
We calculate the spectrum of massive Dirac fermions in graphene in the presence of an inhomogeneous magnetic field modeled by a step function. We find an analytical universal relation between the bandwidths and the propagating velocities of the modes at the border of the magnetic region, showing how, by tuning the mass term, one can control the speed of these traveling edge states.
© The Author(s) 2021
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