Influence of diffraction on the spectrum and wave functions of an open system

Hersch, J. S.; Haggerty, M. R.; Heller, Eric J.

doi:10.1103/physreve.62.4873

Cited by 11 publications

(13 citation statements)

References 19 publications

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“…1(a) 17 . With this geometry the interference between incident and reflected electrons which contribute to oscillations reported previously 13,18,19 is significantly reduced because the in-cident and reflected electrons are spatially separated, thus all the features observed here are due to the coupling effect. The hybrid devices were fabricated on a high mobility two-dimensional electron gas (2DEG) formed at the interface of GaAs/Al 0.33 Ga 0.67 As heterostructure.…”

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confidence: 72%

Fano resonance in a cavity-reflector hybrid system

et al. 2017

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We present the results of transport measurements in a hybrid system consisting of an archshaped quantum point contact (QPC) and a reflector; together, they form an electronic cavity in between them. On tuning the arch-QPC and the reflector, asymmetric resonance peak in resistance is observed at the one-dimension to two-dimension transition. Moreover, a dip in resistance near the pinch-off of the QPC is found to be strongly dependent on the reflector voltage. These two structures fit very well with the Fano line shape. The Fano resonance was found to get weakened on applying a transverse magnetic field, and it smeared out at 100 mT. In addition, the Fano like shape exhibited a strong temperature dependence and gradually smeared out when the temperature was increased from 1.5 to 20 K. The results might be useful in realising device for quantum information processing.arXiv:1702.02275v1 [cond-mat.mes-hall]

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confidence: 72%

Fano resonance in a cavity-reflector hybrid system

et al. 2017

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“…The classical limit of the semiclassical approach has been found to be powerful enough to explain the experimental data for 2DEGs and the quantum simulations, unlike the case of open microwave billiards, where the influence of diffraction has been put in evidence [31,32].…”

Section: Discussionmentioning

confidence: 99%

Signatures of folded branches in the scanning gate microscopy of ballistic electronic cavities

et al. 2021

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We demonstrate the emergence of classical features in electronic quantum transport for the scanning gate microscopy response in a cavity defined by a quantum point contact and a micron-sized circular reflector. The branches in electronic flow characteristic of a quantum point contact opening on a two-dimensional electron gas with weak disorder are folded by the reflector, yielding a complex spatial pattern. Considering the deflection of classical trajectories by the scanning gate tip allows to establish simple relationships of the scanning pattern, which are in agreement with recent experimental findings.

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“…Taking QPC1 as an example, if gate voltage V sg was applied to the bottom arm of the split gate [refers to Fig.1 (b)], V sg + ∆V would be applied to the upper arm. ∆V was kept negative so that the 1D channel shifted towards the primary axis [Fig 1(a)] instead of the tips of the lens, to avoid diffraction at the tips 25 . A short plateau-like feature, as marked by the red arrow in Fig.3(a), below 0.7-anomaly started forming with increasing ∆V similar to previous observations [19][20][21][22][23][24] .…”

Section: Focusing Peak With Asymmetrically Gate Biased Injectormentioning

confidence: 99%

Demonstration of electron focusing using electronic lenses in low-dimensional system

Yan

Pepper

See

et al. 2020

Sci Rep

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We report an all-electric integrable electron focusing lens in n-type GaAs. It is shown that a pronounced focusing peak takes place when the focal point aligns with an on-chip detector. The intensity and full width half maximum (FWHM) of the focusing peak are associated with the collimation of injected electrons. To demonstrate the reported focusing lens can be a useful tool, we investigate characteristic of an asymmetrically gate biased quantum point contact with the assistance of focusing lens. A correlation between the occurrence of conductance anomaly in low conductance regime and increase in FWHM of focusing peak is observed. The correlation is likely due to the electron-electron interaction. The reported electron focusing lens is essential for a more advanced electron optics device. arXiv:2002.04307v1 [cond-mat.mes-hall]

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Influence of diffraction on the spectrum and wave functions of an open system

Cited by 11 publications

References 19 publications

Fano resonance in a cavity-reflector hybrid system

Fano resonance in a cavity-reflector hybrid system

Signatures of folded branches in the scanning gate microscopy of ballistic electronic cavities

Demonstration of electron focusing using electronic lenses in low-dimensional system

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