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Topological confinement in an antisymmetric potential in bilayer graphene in the presence of a magnetic field.

Zarenia M, Pereira JM, Peeters FM, de Aquino Farias G - Nanoscale Res Lett (2011)

Bottom Line: We investigate the effect of an external magnetic field on the carrier states that are localized at a potential kink and a kink-antikink in bilayer graphene.These chiral states are localized at the interface between two potential regions with opposite signs.PACS numbers: 71.10.Pm, 73.21.-b, 81.05.Uw.

View Article: PubMed Central - HTML - PubMed

Affiliation: Departamento de Física, Universidade Federal do Ceará, Fortaleza, Ceará, 60455-760, Brazil. pereira@fisica.ufc.br.

ABSTRACT
We investigate the effect of an external magnetic field on the carrier states that are localized at a potential kink and a kink-antikink in bilayer graphene. These chiral states are localized at the interface between two potential regions with opposite signs.PACS numbers: 71.10.Pm, 73.21.-b, 81.05.Uw.

No MeSH data available.


Wave spinors, φa, φb and the corresponding probability density for the points in the energy spectrum which are indicated in Fig. 5 by arrows.
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Figure 6: Wave spinors, φa, φb and the corresponding probability density for the points in the energy spectrum which are indicated in Fig. 5 by arrows.

Mentions: Next we considered a potential profile with a kink-antikink. Figure 5 shows the spectrum of localized states for B0 = 0 (a) and B0 = 3 T (b). The results show a shift of the four mid-gap energy branches as the magnetic field increases. In addition, the continuum of free states at zero magnetic field is replaced by a set of Landau levels for ε >ub. The spinor components and probability densities associated with the points indicated by arrows in Figure 5(a) and Figure 5(b) are shown in Figure 6. In Figure 6(a) the wavefunction shows the overlap between states localized in both the kink and antikink, for zero magnetic field. With increasing wavevector, the states become strongly localized in either the kink (b) or antikink (c). Panels (d) to (f) show the wavefunctions for non-zero magnetic field. The states at , (panel (d)) show a shift of the probability density towards the central region of the potential. That is caused by the additional confinement brought about by the magnetic field. However, for a larger value of the wavevector, the wavefunctions are only weakly affected by the field, due to the strong localization of the states.


Topological confinement in an antisymmetric potential in bilayer graphene in the presence of a magnetic field.

Zarenia M, Pereira JM, Peeters FM, de Aquino Farias G - Nanoscale Res Lett (2011)

Wave spinors, φa, φb and the corresponding probability density for the points in the energy spectrum which are indicated in Fig. 5 by arrows.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC3211872&req=5

Figure 6: Wave spinors, φa, φb and the corresponding probability density for the points in the energy spectrum which are indicated in Fig. 5 by arrows.
Mentions: Next we considered a potential profile with a kink-antikink. Figure 5 shows the spectrum of localized states for B0 = 0 (a) and B0 = 3 T (b). The results show a shift of the four mid-gap energy branches as the magnetic field increases. In addition, the continuum of free states at zero magnetic field is replaced by a set of Landau levels for ε >ub. The spinor components and probability densities associated with the points indicated by arrows in Figure 5(a) and Figure 5(b) are shown in Figure 6. In Figure 6(a) the wavefunction shows the overlap between states localized in both the kink and antikink, for zero magnetic field. With increasing wavevector, the states become strongly localized in either the kink (b) or antikink (c). Panels (d) to (f) show the wavefunctions for non-zero magnetic field. The states at , (panel (d)) show a shift of the probability density towards the central region of the potential. That is caused by the additional confinement brought about by the magnetic field. However, for a larger value of the wavevector, the wavefunctions are only weakly affected by the field, due to the strong localization of the states.

Bottom Line: We investigate the effect of an external magnetic field on the carrier states that are localized at a potential kink and a kink-antikink in bilayer graphene.These chiral states are localized at the interface between two potential regions with opposite signs.PACS numbers: 71.10.Pm, 73.21.-b, 81.05.Uw.

View Article: PubMed Central - HTML - PubMed

Affiliation: Departamento de Física, Universidade Federal do Ceará, Fortaleza, Ceará, 60455-760, Brazil. pereira@fisica.ufc.br.

ABSTRACT
We investigate the effect of an external magnetic field on the carrier states that are localized at a potential kink and a kink-antikink in bilayer graphene. These chiral states are localized at the interface between two potential regions with opposite signs.PACS numbers: 71.10.Pm, 73.21.-b, 81.05.Uw.

No MeSH data available.