Dynamic resonant tunneling via a quasibound superstate

Zangwill, Gilad; Granot, Er'el

doi:10.1103/physreva.106.032201

Cited by 3 publications

(8 citation statements)

References 46 publications

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“…Similarly, for other energy values, which are inconsistent with the spectral components of the QBSS, the particle cannot be trapped and the tunneling current is highly suppressed. These scenarios have been well investigated [10,14,18]. In particular, it has been found that current suppression occurs for the energies:…”

Section: Strong Oscillations and Opaque Barrier Regimementioning

confidence: 99%

“…is the instantaneous resonance energy of the well and t 1 and t 2 are the solutions of Ω = Ω R (t) [10,14,18], i.e., these are the instances in which the incoming particle's energy coincides with the instantaneous resonant state's energy. The solutions of (31) for the case (32) are:…”

Section: Strong Oscillations and Opaque Barrier Regimementioning

confidence: 99%

“…(E) An analytical expression was derived for the barrier's width, which supports Fano resonances L m (Ω) up to the second order in the oscillation amplitude β 2 , and it was found to be in high agreement with exact numerical results. (F) In the case where the oscillation amplitude is large, one can use the method that was applied to the Sisyphus effect and the QBSS method [14,17], along with the additional requirement of Ω < ω, calculating the Fano criteria with a high agreement with numerical simulations. (G) Finally, it was shown that, in the case of a very narrow barrier, a simple analytical expression relates the zero-transmission energy to the multiple barrier widths L n (Ω), which support the Fano resonance.…”

Section: Conclusion and Summarymentioning

confidence: 99%

“…This behavior manifests in activation [1][2][3][4][5][6][7][8][9] and the elevator effect [8,9]. However, in some cases, for some specific energies, the tunneling current can be substantially suppressed [10][11][12][13][14][15][16][17][18][19][20]. In particular, it has been shown that 100% reflection occurs in certain cases.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, a different presentation of current suppression and activation was demonstrated. It was shown that, when a particle penetrates an opaque barrier via a varying well, the process can be regarded as if the particle is trapped in a Quasi-Bound Super State (QBSS) [14], in a similar fashion to a Resonant Tunneling process, in which the particle is trapped in a Quasi-Bound State [29][30][31][32]. The difference between these two scenarios is that the QBSS consists of multiple sub-quasi-states.…”

Section: Introductionmentioning

confidence: 99%

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Multiple Fano Resonances in Dynamic Resonant Tunneling Processes

Zangwill

Granot

2023

Applied Sciences

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The existence of Fano resonances in dynamic resonant tunneling (RT) systems has been investigated. Fano resonances are characterized by the appearance of a 100% reflection coefficient in proximity to a high transmission coefficient. For a Fano resonance to appear, a bound state must exist. On the other hand, a resonant tunneling process is characterized by a high transmission and the existence of a quasi-bound state (QBS) instead of a bound one. It has been shown that, by narrowing the width of the barrier, the resonance energy of the QBS gradually decreases and eventually turns into a bound state. Consequently, in a dynamic RT process, there are two scenarios: either a bound state exists, in which case, Fano resonances exist for any barrier width, or a QBS exists, and the barrier should be narrow enough for the Fano resonance to appear. In both cases, the incoming particle’s frequency must be lower than the oscillating well’s frequency. In this work, these resonances are investigated in detail, and both exactly numerically and approximated analytical expressions are derived for both the weak and strong oscillating amplitude regimes. One of the conclusions is that, when the oscillating frequency is low enough, multiple Fano resonances can appear by varying the barrier’s width. Since these resonances are very sharp and zero transmission can easily be detected, this property can be used as a very accurate method for measuring the barrier’s width, even when the particle’s de-Broglie wavelength is much larger than the barrier’s width.

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Section: Strong Oscillations and Opaque Barrier Regimementioning

confidence: 99%

Section: Strong Oscillations and Opaque Barrier Regimementioning

confidence: 99%

Section: Conclusion and Summarymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Multiple Fano Resonances in Dynamic Resonant Tunneling Processes

Zangwill

Granot

2023

Applied Sciences

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Generic temporal quantization criterion in dynamic resonant tunneling for current suppression

Granot,

Zangwill

2023

Physica B: Condensed Matter

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Half-Spectrum Suppression in Dynamic Resonant Tunneling

Zangwill,

Granot

2023

Applied Sciences

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It is well known that in a process of Dynamic Resonant Tunneling, where the energy level of the quasi-bound state varies in time, the tunneling current can be drastically suppressed at specific energies. These energies obey a generic quantization rule (QR). However, these systems exhibit two types of current suppression. In the first type, the current vanishes completely, and in the second the current is suppressed but does not vanish. We investigate these two types of current suppression and their relations to the quantization rule.

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Dynamic resonant tunneling via a quasibound superstate

Cited by 3 publications

References 46 publications

Multiple Fano Resonances in Dynamic Resonant Tunneling Processes

Multiple Fano Resonances in Dynamic Resonant Tunneling Processes

Generic temporal quantization criterion in dynamic resonant tunneling for current suppression

Half-Spectrum Suppression in Dynamic Resonant Tunneling

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