Group delay time of fermions in graphene through tilted potential barrier

Youssef Fattasse, Miloud Mekkaoui, Ahmed Jellal () and Abdelhadi Bahaoui
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Youssef Fattasse: Chouaïb Doukkali University
Miloud Mekkaoui: Chouaïb Doukkali University
Ahmed Jellal: Chouaïb Doukkali University
Abdelhadi Bahaoui: Chouaïb Doukkali University

The European Physical Journal B: Condensed Matter and Complex Systems, 2022, vol. 95, issue 8, 1-8

Abstract: Abstract 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 $$ v_F $$ v F . 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. Graphical abstract FIG. 1. (color online) The group delay time in transmission tt/t0 as a function of the barrier width d for V0 = V1 = 80 meV, f = $$30^\circ $$ 30 ∘ , E = 20 meV (blue line), E = 25 meV (red line), and E = 30 meV (green line).

Date: 2022
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DOI: 10.1140/epjb/s10051-022-00391-0

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