https://doi.org/10.1140/epjb/s10051-022-00391-0
Regular Article - Solid State and Materials
Group delay time of fermions in graphene through tilted potential barrier
1
Laboratory of Theoretical Physics, Faculty of Sciences, Chouaïb Doukkali University, PO Box 20, 24000, El Jadida, Morocco
2
Canadian Quantum Research Center, 204-3002 32 Ave, V1T 2L7, Vernon, BC, Canada
Received:
20
June
2022
Accepted:
27
July
2022
Published online:
12
August
2022
The group delay time of Dirac fermions subjected to a tilting barrier potential along the x-axis is investigated in graphene. We start by finding the eigenspinor solution of the Dirac equation and then relating it to incident, reflected, and transmitted beam waves. This relationship allows us to compute the group delay time in transmission and reflection by obtaining the corresponding phase shifts. We discovered that the barrier width, incident energy, and incident angle can all be used to modify the group delay time, and that the particles travel through the barrier at the Fermi velocity 
. Our findings also show that the transmission group delay might be controlled, and that gate voltage control could be useful in graphene-based tilting barriers.
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