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Giant Goos-Hänchen shift in graphene double-barrier structures
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View: Figures


Image of FIG. 1.
FIG. 1.

(a) Sectional and (b) top schematic diagrams for a particle quantum tunneling through a graphene DBS, with the two barriers of width , height , and distance d between them. is the total width of the structure. In (a), the dashed lines show smooth electric potentials with distributions of error functions and transition regions’ widths of . In (b), the upper (red solid) and lower (blue dashed) components have their locus at , and for the incident, reflected, and transmitted beams, respectively. A detector placed in a proper position of the outgoing region can detect the giant GH shift.

Image of FIG. 2.
FIG. 2.

(a) The GH shift (solid) in a symmetric graphene DBS [, , and d = 50 nm] as a function of the incident energy at . The insert shows the GH shift in a SBS with the same barrier height and width. The dashed line indicates the semi-classical shift predicted by the Snell’s law, which has no definition in the TG. (b) The dependence of the shift sharp peak(s) on the incident angle, and . The positions and heights of the four giant GH shift peaks are marked.

Image of FIG. 3.
FIG. 3.

The phase shift of the transmitted beam vs. the incident angle for beams with different E/U shown in the figure. (a)/(b) for a rectangular/smooth DBS.

Image of FIG. 4.
FIG. 4.

(a) GH shifts in transmission and reflection for an asymmetric DBS with U = 62 meV, , and d = 50 nm. (b) GH shifts in transmission for different cases of structural asymmetries with the parameters and in the sequence given in the figure. For all cases, .

Image of FIG. 5.
FIG. 5.

The GH shift in transmission through a graphene DBS with , d = 100 nm, and . The induced gap is as indicated in the figure. Insert: the GH shifts for the reflected and transmitted beams for in the same structure. For all cases, .


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Giant Goos-Hänchen shift in graphene double-barrier structures