Transmission gaps from corrugations

Wang, Yong-Long; Liang, Guo-Hua; Jiang, Hua; Lu, Wei-Tao; Zong, Hong-Shi

doi:10.1088/0022-3727/49/29/295103

Cited by 12 publications

(23 citation statements)

References 82 publications

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“…We will not consider such influence of the surface thickness here since the extra terms in the geometric potential including the influence of the surface thickness must be treated using the perturbation theory. More important recent theoretical works in this field of curved 2DEG can be viewed in [13][14][15][16][17][18][19]. Based on what has been exposed here so far, we conclude that curvature is an important degree of freedom to manipulate two dimensional quantum systems.…”

Section: Introductionsupporting

confidence: 64%

A Curved Noninteracting 2D Electron Gas with Anisotropic Mass

et al. 2018

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In the da Costa's thin-layer approach, a quantum particle moving in a 3D sample is confined on a curved thin interface. At the end, the interface effects are ignored and such quantum particle is localized on a curved surface. A geometric potential arises and, since it manifests due to this confinement procedure, it depends on the transverse to the surface mass component. This inspired us to consider, in this paper, the effects due to an anisotropic effective mass on a non-interacting two dimensional electron gas confined on a curved surface, a fact not explored before in this context. By tailoring the mass, many investigations carried out in the literature can be improved which in turns can be useful to better designing electronic systems without modifying the geometry of a given system. Some examples are examined here, as a particle on helicoidal surface, on a cylinder, on a catenoid and on a cone, with some possible applications briefly discussed.

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Section: Introductionsupporting

confidence: 64%

A Curved Noninteracting 2D Electron Gas with Anisotropic Mass

et al. 2018

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“…As a consequence, the negative eigenenergies and bound states can be produced by designing corrugations for an annular wire. Practically, these results are helpful to control the electronic transport by designing particular geometries [5,6,35,36]. Another important result in the present paper is that the relationship between the transition energy and the number of corrugations.…”

Section: Bound States and Energy Level Structure Of Confined Elementioning

confidence: 64%

Geometric effects on the electronic structure and the bound states in annular corrugated wires

Cheng

Wang²,

Gao³

et al. 2019

J. Phys.: Condens. Matter

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In the spirit of the thin-layer quantization scheme, we give the effective Hamiltonian describing the noninteracting electrons confined to an annular corrugated surface, and find that the geometrically induced potential is considerably influenced by corrugations. By using numerical calculation, we investigate the eigenenergies and the corresponding eigenstates, and find that the transition energies can be sufficiently improved by adding corrugations. Particularly, the transition energy between the adjacent eigenstates corresponds to energy levels difference based on the wavefunction of annular wire, and the number of the energy levels is equal to the number of corrugations. And the larger magnitude of corrugations is capable of increasing the number of bound states. In addition, the distribution of ground state probability density is reconstructed by the corrugations, and the energy shift is generated.

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“…To learn the action of the composite corrugation on the electronic transport, in what follows we will study the transmission probability of electron in the model Fig.3 by the transfer matrix technique 39 . In the models including a single-frequency corrugation 5,40 , the boundaries constructed by two different materials, in which electrons have different effective masses, create resonant tunneling peaks and valleys. These results are still valid to the case of double-frequency corrugation.…”

Section: Transmission Probability Affected By a Composite Corrugmentioning

confidence: 99%

“…As a potential application, double-frequency corrugations can be employed to select electrons with particular incident energy, as an electronic switch, which are more effective than a single-frequency ones. With the rapid development of nanotechnology, the fabrication of electronic nanodevices with complex geometries is becoming easy, and therefore various twodimensional (2D) nanosystems with corrugations are designed and implemented, such as corrugated films [1][2][3][4][5] , bent and corrugated nanotubes [6][7][8][9][10] and so on. Those successes in manufacture found the basis of investigating the curvature-tunable filter 5 .…”

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confidence: 99%

The geometric potential of a double-frequency corrugated surface

Cao

Wang

Chen³

et al. 2019

Physics Letters A

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For an electron confined to a surface reconstructed by double-frequency corrugations, we give the effective Hamiltonian by the formula of geometric influences, obtain an additive scalar potential induced by curvature that consists of attractive wells with different depth. The difference is generated by the multiple frequency of the double-frequency corrugation. Subsequently, we investigate the effects of geometric potential on the transmission probability, and find the resonant tunneling peaks becoming rapidly sharper and the transmission gaps being substantially widened with increasing the multiple frequency. As a potential application, double-frequency corrugations can be employed to select electrons with particular incident energy, as an electronic switch, which are more effective than a single-frequency ones.

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Transmission gaps from corrugations

Cited by 12 publications

References 82 publications

A Curved Noninteracting 2D Electron Gas with Anisotropic Mass

A Curved Noninteracting 2D Electron Gas with Anisotropic Mass

Geometric effects on the electronic structure and the bound states in annular corrugated wires

The geometric potential of a double-frequency corrugated surface

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