Tunneling times in complex potentials

Kočinac, S.; Milanović, V.

doi:10.1016/j.physleta.2007.07.021

Cited by 13 publications

(7 citation statements)

References 26 publications

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“…1(d) where both the rotation symmetry of 60 • and the reflection symmetry of 30 • become self-evident. As usual, we have added a very small imaginary part (iε) to the interface potential V so as to guarantee the convergence of the tunneling conductances [50,51]. In the following numerical calculations, we shall set ε = 10 −8 .…”

Section: Model and Methodsmentioning

confidence: 99%

Tunnel junctions with moiré superlattice as barrier

Fang¹,

Xiao²

2021

Preprint

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Recently, moiré superlattices have attracted considerable attentions because they are found to exhibit intriguing electronic phenomena of tunable Mott insulators and unconventional superconductivity. These phenomena are highly related to the physical mechanism of the interlayer coupling.However, up to now, there has not existed any theory that can completely interpret the experimental results of the interlayer conductance of moiré superlattice. In order to solve this problem, the superposition of periods and the corresponding coherence, which are the essential characteristics of moiré superlattice, should be considered more sufficiently. Therefore, it is quite necessary to introduce optical methods to study moiré superlattices. Here, we develop a theory for moiré superlattices which are founded on traditional optical scattering theory. The theory can interpret both the continuously decreasing background and the peak of the interlayer conductance observed in the experiments by a unified mechanism. We show that, the decreasing background of the interlayer conductance arises from the increasing strength of the interface potential, and the peak roots from the scattering resonance of the interface potential. The present work is crucial for understanding the interlayer coupling of the moiré superlattice, and provide a solid theoretical foundation for the application of moiré superlattice.

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Section: Model and Methodsmentioning

confidence: 99%

Tunnel junctions with moiré superlattice as barrier

Fang¹,

Xiao²

2021

Preprint

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“…To be more intuitive, the shape of function γ(α) is shown in Figure d where both the rotation symmetry of 60° and the reflection symmetry of 30° become self-evident. As usual, we have added a very small imaginary part (iε) to the interface potential V , so as to guarantee the convergence of the tunneling conductances. , In the following numerical calculations, we shall set ε = 10 –8 .…”

Section: Model and Methodsmentioning

confidence: 99%

Tunnel Junctions with a Moiré Superlattice as a Barrier

Fang

Xiao

2021

ACS Appl. Electron. Mater.

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Recently, moirésuperlattices have attracted considerable attention because they are found to exhibit intriguing electronic phenomena of tunable Mott insulators and unconventional superconductivity. These phenomena are highly related to the physical mechanism of the interlayer coupling. However, up to now, there has not existed any theory that can completely interpret the experimental results of the interlayer conductance of moirésuperlattices. In order to solve this problem, the superposition of periods and the corresponding coherence, which are the essential characteristics of moirésuperlattices, should be considered more sufficiently. Therefore, it is quite necessary to introduce optical methods to study moirésuperlattices. Here, we develop a theory for moireś uperlattices, which are founded on traditional optical scattering theory. The theory can interpret both the continuously decreasing background and the peak of the interlayer conductance observed in the experiments with a unified mechanism. We show that the decreasing background of the interlayer conductance arises from the increasing strength of the interface potential and the peak roots from the scattering resonance of the interface potential. The present work is crucial for understanding the interlayer coupling of the moirésuperlattice and provides a solid theoretical foundation for the application of moirésuperlattices.

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“…. At the same time, the quasi-unitary condition, that states that the sum of transmission, reflection and absorption probabilities is equal to unity [1], is satisfied for all values of potential except for ;…”

Section: Double Delta Potential -We Will Now Consider That Barrier He...mentioning

confidence: 99%

“…Just as the problem of absorption of electromagnetic waves in a medium could be analyzed in terms of complex refractive index of the medium, it was found that problem of absorption of incident flux could be simulated in terms of complex potential. In quantum mechanics the use of complex potentials was introduced to describe the processes of absorption and generation of electrons in the barrier region [1]. The case of an absorptive material corresponds to the potential with negative imaginary part, and conversely, the case of negative absorption, when we have gain instead of reduction of incident flux, corresponds to potential with positive imaginary part.…”

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confidence: 99%

Transmission singularities in resonant electron tunneling through double complex potential barrier

2017

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-Tunneling of electrons through a barrier with complex potential is investigated. We focus on two cases, symmetric double rectangular barrier and double delta potential barrier, and give expressions for resonant transmission probability for both cases. Expressions for reflection amplitude and absorption are also obtained in the case of delta potential. It will be shown that for given dimensions of the potential barrier and the real part of the potential, resonant transmission probability approaches infinity for only one positive value of the imaginary part of the potential.

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Tunneling times in complex potentials

Cited by 13 publications

References 26 publications

Tunnel junctions with moiré superlattice as barrier

Tunnel junctions with moiré superlattice as barrier

Tunnel Junctions with a Moiré Superlattice as a Barrier

Transmission singularities in resonant electron tunneling through double complex potential barrier

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