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Effects of the edge states on conductance and thermopower for the bilayer graphene nanoribbons
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10.1063/1.4747927
/content/aip/journal/jap/112/5/10.1063/1.4747927
http://aip.metastore.ingenta.com/content/aip/journal/jap/112/5/10.1063/1.4747927
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Schematic illustrations of a BGN with zigzag edges, and the upper and lower boundaries are denoted by Ld1 and Ld2 in the bottom layer and by Lu1 and Lu2 in the top layer, respectively.

Image of FIG. 2.
FIG. 2.

Band structures of ZBGNs. (a) A perfect ZBGN. (b) An applied weak bias voltage ZBGN (the on-site energy is universally −0.015 t in the upper layer and 0.015 t in the lower layer). (c) An applied strong bias voltage ZBGN (the on-site energy is universally −0.05 t in the upper layer and 0.05 t in the lower layer). (d)-(i) Under the weak bias voltage (the on-site energy is universally −0.015 t in the upper layer and 0.015 t in the lower layer), (d)adjusting U(Ld1) to 1.0 t (equals to the nearest neighbor hopping), (e)adjusting U(Ld1) and U(Ld2) to 1.0 t, (f) adjusting U(Lu1) to 1.0 t, (g)adjusting U(Lu1) and U(Lu2) to 1.0 t, (h) adjusting U(Ld1), U(Ld2), and U(Lu1) to 1.0 t, (i) adjusting U(Ld1), U(Ld2), U(Lu1), and U(Lu2) to 1.0 t. The width of the ZBGN is N = 40.

Image of FIG. 3.
FIG. 3.

The conductances vs Fermi energies in a ZBGN corresponding to Fig. 2.

Image of FIG. 4.
FIG. 4.

The thermopowers vs Fermi energies in a ZBGN corresponding to Fig. 2. .

Image of FIG. 5.
FIG. 5.

Band structures of ZBGNs. (a)–(f) Under the strong bias voltage (the on-site energy is universally −0.05 t in the upper layer and 0.05 t in the lower layer), (a) adjusting U(Ld1) to 1.0 t, (b) adjusting U(Ld1) and U(Ld2) to 1.0 t, (c) adjusting U(Lu1) to 1.0 t, (d) adjusting U(Lu1) and U(Lu2) to 1.0 t, (e) adjusting U(Ld1), U(Ld2), and U(Lu1) to 1.0 t, (f) adjusting U(Ld1), U(Ld2), U(Lu1), and U(Lu2) to 1.0 t. The width of the ZBGN is N = 40.

Image of FIG. 6.
FIG. 6.

The conductances vs Fermi energies at different boundary potentials in a ZBGN corresponding to Fig. 5.

Image of FIG. 7.
FIG. 7.

The thermopowers vs Fermi energies at different boundary potentials in a ZBGN corresponding to Fig. 5. .

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/content/aip/journal/jap/112/5/10.1063/1.4747927
2012-09-05
2014-04-24
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Effects of the edge states on conductance and thermopower for the bilayer graphene nanoribbons
http://aip.metastore.ingenta.com/content/aip/journal/jap/112/5/10.1063/1.4747927
10.1063/1.4747927
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