Tunneling of Dirac electrons through one-dimensional potentials in graphene: aT-matrix approach

Abstract

The standard T-matrix method can be effectively used for studying the dynamics of Dirac electrons under one-dimensional potentials in graphene. The transmission probability expressed in terms of T-matrices and the corresponding ballistic current are derived for any smooth one-dimensional potential, taking into account the chirality of Dirac massless carriers. Numerical calculations are illustrated for the potential approximately describing graphene n-p junctions.

Fluorinated Graphene Dielectric and Functional Layers for Electronic Applications

“…Currently, the theoretical predictions of NDR pertaining to graphene appear to prevail [47][48][49], and only a few experimental observations of NDR are presented in the literature (in fact, NDR is experimentally observed in lateral structures only in Ref. [50]).…”

“…The origin of NDR for I-V curves shown in Figure 8(a) and (b) is mostly likely associated with the theoretically predicted gap in the transmission coefficient for carriers in the barrier between fluorinated graphene and graphene areas. It is caused by the competition of hole-to-electron transport and Klein tunnelling with resonant tunnelling in structures with potential barrier(s) [48].…”

The resonant tunneling through a graphene multiquantum well system

“…The linear dispersion relation ͉E͉ = បv F ͉k͉ in the band structure is of significance in the electron properties, where v F Ϸ 10 6 ms −1 is the Fermi velocity and k is the Fermi wavevector. The wave function can be represented by twocomponent spinor, 1,2,13,26,27 which corresponds to the amplitude of the two different triangular sublattice A and B.…”

“…When the wave function is an evanescent wave in graphene barriers, a transmission gap emerges in the transmission spectra for non-normal incidence. 25,26 We consider a barrier-well system to examine the property of charge carriers in graphene. In our work, transfer-matrix method 20,21,26 will be explored to investigate the transport properties of a graphene multiquantum well system.…”

“…25,26 We consider a barrier-well system to examine the property of charge carriers in graphene. In our work, transfer-matrix method 20,21,26 will be explored to investigate the transport properties of a graphene multiquantum well system. The transmission probability, the anisotropic transmission, and conductance for different quantum well number and varying quantum well width will be calculated and discussed in details.…”