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Tunneling Through a Multi‐Unit Graphene Superlattice
Author(s) -
Choubabi El Bouâzzaoui,
Kamal Abdellatif,
Jellal Ahmed
Publication year - 2019
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201900172
Subject(s) - fano factor , quantum tunnelling , superlattice , conductance , graphene , condensed matter physics , wave function , transfer matrix , physics , conductance quantum , quantum mechanics , transmission coefficient , fermion , dirac fermion , transmission (telecommunications) , quantum well , quantum point contact , optics , laser , electrical engineering , engineering , shot noise , detector , computer science , computer vision
Using Chebyshev polynomials, the tunneling effect of massless Dirac fermions is studied in a multi‐unit graphene superlattice composed of three regions. Matching the wavefunctions and using the transfer matrix method, the transmission probability, the conductance, and Fano factor are explicitly determined. It is shown that extra Dirac points appear at the transverse wave vector k y =0 and incident energy ϵ = mπ , with m integer value. At these points, the transmission probability has transmission gaps, the conductance is minimal and the Fano factor reaches a maximum. Consequently for a potential V = m π and with energy range 0 ≤ ϵ ≤ V , ( m + 1) transmission gaps located at ϵ = mπ are found. The influence of the main parameter of our theory, distance q 2 , on the transmission is examined.