Transmission gaps in graphene superlattices with periodic potential patterns

Xu, Yi; He, Yan; Yang, Yajuan

doi:10.1016/j.physb.2014.10.002

Cited by 23 publications

(17 citation statements)

References 39 publications

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“…In a special case, the model without the double barriers, with m * = 0.067m 0 in all regions, V (x) = V g (x) in R 3 and V (x) = 0meV otherwise, transmission gaps [67][68][69][70][71] and resonant tunneling domains [72][73][74][75][76] appear in the present system shown in Fig. 9.…”

Section: B Numerical Results and Analysismentioning

confidence: 97%

Transmission gaps from corrugations

Wang

Liang

Jiang

et al. 2016

J. Phys. D: Appl. Phys.

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A model including a periodically corrugated thin layer with GaAs substrate is employed to investigate the effects of the corrugations on the transmission probability of the nanostructure. We find that transmission gaps and resonant tunneling domains emerge from the corrugations, in the tunneling domains the tunneling peaks and valleys result from the boundaries between adjacent regions in which electron has different effective masses, and can be slightly modified by the layer thickness. These results can provide an access to design a curvature-tunable filter.

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Section: B Numerical Results and Analysismentioning

confidence: 97%

Transmission gaps from corrugations

Wang

Liang

Jiang

et al. 2016

J. Phys. D: Appl. Phys.

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“…Once the angle of incidence is different from zero, transmission minibands and gaps start to develop. For small angles, as in the case of 5 • , we have pseudo minibands and gaps, 55 since them are not well defined yet. By increasing systematically θ we will find that the mentioned pseudo minibands and gaps become well defined ones.…”

Section: Resultsmentioning

confidence: 99%

“…In addition, as the energy increases these whiskers bend, and the bending is steeper for higher minibands, as a consequence higher minibands occlude at lesser angles than lower minibands. Other important characteristics that we can find in EGSs are: 1) the number of resonances within a miniband is proportional to the number of periods in the superlattice, 2) by increasing the number of periods it is also possible to obtain well defined minibands and gaps irrespective of the angle of incidence, 55 except normal incidence, 3) by changing the widths of the barriers and wells as well as the height of the barriers it is possible to tune the number of minibands and gaps, and their energy location, see Fig. 4(b).…”

Section: Resultsmentioning

confidence: 99%

Angle-dependent bandgap engineering in gated graphene superlattices

et al. 2016

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Graphene Superlattices (GSs) have attracted a lot of attention due to its peculiar properties as well as its possible technological implications. Among these characteristics we can mention: the extra Dirac points in the dispersion relation and the highly anisotropic propagation of the charge carriers. However, despite the intense research that is carried out in GSs, so far there is no report about the angular dependence of the Transmission Gap (TG) in GSs. Here, we report the dependence of TG as a function of the angle of the incident Dirac electrons in a rather simple Electrostatic GS (EGS). Our results show that the angular dependence of the TG is intricate, since for moderated angles the dependence is parabolic, while for large angles an exponential dependence is registered. We also find that the TG can be modulated from meV to eV, by changing the structural parameters of the GS. These characteristics open the possibility for an angle-dependent bandgap engineering in graphene.

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“…By using the transfer matrix method [31][32][33], we obtain a matrix M to connect the wave functions Ψ A,B (x) at the two boundaries at x = 0 and x = d:…”

Section: Guided Mode and Dispersion Equation For A Double-well Potentialmentioning

confidence: 99%

“…This method is easy for one quantum well structure, but not for multiple or more complicated quantum well structures, e.g., a double-well potential. In this paper, we will apply a transfer matrix method [31][32][33] to deduce the dispersion equation for guided modes in a double-well potential structure. From the calculation, we will present the characteristics of the guided modes in detail, and report its novel properties as compared to other graphene-based waveguides.…”

Section: Introductionmentioning

confidence: 99%

Guided Modes in a Double-Well Asymmetric Potential of a Graphene Waveguide

Ang

2016

Electronics

Self Cite

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Abstract:The analogy between the electron wave nature in graphene electronics and the electromagnetic waves in dielectrics has suggested a series of optical-like phenomena, which is of great importance for graphene-based electronic devices. In this paper, we propose an asymmetric double-well potential on graphene as an electronic waveguide to confine the graphene electrons. The guided modes in this graphene waveguide are investigated using a modified transfer matrix method. It is found that there are two types of guided modes. The first kind is confined in one well, which is similar to the asymmetric quantum well graphene waveguide. The second kind can appear in two potential wells with double-degeneracy. Characteristics of all the possible guide modes are presented.

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Transmission gaps in graphene superlattices with periodic potential patterns

Cited by 23 publications

References 39 publications

Transmission gaps from corrugations

Transmission gaps from corrugations

Angle-dependent bandgap engineering in gated graphene superlattices

Guided Modes in a Double-Well Asymmetric Potential of a Graphene Waveguide

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