Curvature effects on surface electron states in ballistic nanostructures

Taira, Hisao; Shima, Hiroyuki

doi:10.1016/j.susc.2007.04.220

Cited by 27 publications

(20 citation statements)

References 36 publications

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“…In the first two cases we obtained results for different pinch/bump sizes. The results agree qualitatively with those of reference [11]. In the third case, for different numbers of oscillations of the tube, the energy gap becomes better defined with the increasing number of oscillations.…”

Section: Discussionsupporting

confidence: 89%

Geometric effects in the electronic transport of deformed nanotubes

et al. 2016

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Abstract. Quasi-two-dimensional systems may exibit curvature, which adds three-dimensional influence to their internal properties. As shown by da Costa [1], charged particles moving on a curved surface experience a curvature-dependent potential which greatly influence their dynamics. In this paper, we study the electronic ballistic transport in deformed nanotubes. The one-electron Schrödinger equation with open boundary conditions is solved numerically with a flexible MAPLE code made available as Supplementary Data. We find that the curvature of the deformations have indeed strong effects on the electron dynamics suggesting its use in the design of nanotube-based electronic devices.

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Section: Discussionsupporting

confidence: 89%

Geometric effects in the electronic transport of deformed nanotubes

et al. 2016

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“…Even so, the present quantization scheme can be safely applied to study the motion of confined electron when the quantum excitation energies in the normal direction are raised far beyond those in the tangential direction. Actually, the thin-layer quantization method has successfully been employed to calculate the band-structure of real systems [29][30][31] , determine the localized surface states in geometrically deformed quantum systems [32][33][34][35][36][37][38] , and study the transport properties of electron confined in the systems with complex geometries [39][40][41][42] . Furthermore, the experimental evidences for the geometrical effects of the curved surface have been presented, such as the realization of an optical analog of the curvature-induced geometric potential 43 , the observation of the influence of geometry on proximity effect 44 and the observation of Riemannian geometrical effects on electronic states 19 .…”

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confidence: 99%

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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“…where λ 1 = −λ 2 = 1/2. The study of physical systems described by the Hamiltonian operator (2) have been a focus of attention for decades [11,15,16,17,18]. The generalizations of this Hamiltonian to particles interacting with electromagnetic fields, spin 1/2 particles, particles with position-dependent and anisotropic effective masses, and thin layers with small but finite thickness have been considered in [7,19,20,21,22,23].…”

Section: Introductionmentioning

confidence: 99%

Geometric scattering in the presence of line defects

Bui,

Mostafazadeh,

Seymen

2020

Preprint

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A non-relativistic scalar particle moving on a curved surface undergoes a geometric scattering whose behavior is sensitive to the theoretically ambiguous values of the intrinsic and extrinsic curvature coefficients entering the expression for the quantum Hamiltonian operator. This suggests using the scattering data to settle the ambiguity in the definition of the Hamiltonian. It has recently been shown that the inclusion of point defects on the surface enhances the geometric scattering effects. We perform a detailed study of the geometric scattering phenomenon in the presence of line defects for the case that the particle is confined to move on a Gaussian bump and the defect(s) are modeled by delta-function potentials supported on a line or a set of parallel lines normal to the scattering axis. In contrast to a surface having point defects, the scattering phenomenon associated with this system is generically geometric in nature in the sense that for a flat surface the scattering amplitude vanishes for all scattering angles θ except θ = θ 0 and π − θ 0 , where θ 0 is the angle of incidence. We show that the presence of the line defects amplifies the geometric scattering due to the Gaussian bump. This amplification effect is particularly strong when the center of the bump is placed between two line defects.

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Curvature effects on surface electron states in ballistic nanostructures

Cited by 27 publications

References 36 publications

Geometric effects in the electronic transport of deformed nanotubes

Geometric effects in the electronic transport of deformed nanotubes

Transmission gaps from corrugations

Geometric scattering in the presence of line defects

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