Quantum transport through a one-dimensional ring with tunnel junctions

Takai, Daisuke; Ohta, Kuniichi

doi:10.1103/physrevb.51.11132

Cited by 14 publications

(6 citation statements)

References 23 publications

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“…(173) and (175). Following the procedure presented in Section 2.3 for photons, the inverse surface Green's function of the star-like wave-guide (see Fig.…”

Section: One-dimensional Infinite Backbone With a Periodic Array Of Rmentioning

confidence: 99%

“…Because of its fundamental interest and practical importance, electronic transport in onedimensional structures with a wide variety of geometries has been intensely investigated in the recent past. These studies include quantum conductance in one-dimensional mesoscopic rings [173,174], the transmission zeros and poles in quantum wave-guides [175][176][177][178][179], the transmission in coupled quantum wires [180][181][182][183][184], the size-effect on conductance in ballistic quantum wires [185], the electronic stop bands [186][187][188], the electron channel drop tunneling [189][190][191], the localization effects [192], the overlap effects on electron transmission through molecular wires [193][194][195], the transmission through two-dimensional lattices [196], . .…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Photon, electron, magnon, phonon and plasmon mono-mode circuits

Vasseur

Akjouj

Dobrzyński

et al. 2004

Surface Science Reports

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“…(173) and (175). Following the procedure presented in Section 2.3 for photons, the inverse surface Green's function of the star-like wave-guide (see Fig.…”

Section: One-dimensional Infinite Backbone With a Periodic Array Of Rmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Photon, electron, magnon, phonon and plasmon mono-mode circuits

Vasseur

Akjouj

Dobrzyński

et al. 2004

Surface Science Reports

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“…Time-dependent Schrödinger operators in AB geometries where the flux threading the hole increases linearly with time was discussed by Avron et al 13 Takai calculated the quantum transport through a one-dimensional ring with tunnel junctions. 14 It was shown that the transmission probability of a mesoscopic ring coupled with tunnel barriers demonstrated transmission resonances and the oscillatory behavior was influenced by the presence of a tunnel barrier and by magnetic flux. The resonant tunneling in an AB ring with a quantum dot in one of its arms was investigated by Wu et al 15 They demonstrated the experimental results with a onedimensional noninteracting model.…”

Section: Introductionmentioning

confidence: 99%

Transmission properties of electron in quantum rings

Li¹,

Yang²,

Feng³

et al. 2008

Journal of Applied Physics

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We investigated the transmission probability of a single electron transmission through a quantum ring device based on the single-band effective mass approximation method and transfer matrix theory. The time-dependent Schrödinger equation is applied on a Gaussian wave packet passing through the quantum ring system. The electron tunneling resonance peaks split when the electron transmits through a double quantum ring. The splitting energy increases as the distance between the two quantum rings decreases. We studied the tunneling time through the single electron transmission quantum ring from the temporal evolution of the Gaussian wave packet. The electron probability density is sensitive to the thickness of the barrier between the two quantum rings.

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“…Because of its fundamental interest and practical importance, electronic transport in 1D structures with a wide variety of geometries has been intensely investigated in the recent past. These studies include, for example, quantum conductance in 1D mesoscopic rings [12], the transmission zeros and poles in quantum waveguides [13], the effect of short-range irregularities on transmission in coupled quantum wires [14], and the size-effect on conductance in ballistic quantum wires [15]. While these works are all theoretical, the experimental observation of quantum corrections to the resistance in 1D gold wires with periodically spaced dangling side branches (DSB) has also been reported [16].…”

mentioning

confidence: 99%

Giant electronic stop bands in one-dimensional comblike structures

Akjouj¹,

Djafari‐Rouhani²,

Vasseur³

et al. 1998

Europhys. Lett.

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We report the existence of gaps in the band structure of a comblike structure of a one-dimensional electronic waveguide with N dangling side branches grafted at N equidistant sites. These gaps originate both from the periodicity of the system and the resonance states of the grafted branches (which play the role of resonators). The width of the gaps depends on the length of the resonators as well as on the numbers N and N . We stress on the tailoring of widths of the passbands (and hence the stop bands) owing to the variation of N and N . Analytic expressions are given for the band structure for large N and for the transmission coefficients for an arbitrary value of N and N . Analytical as well as numerical results demonstrate the opening-up of giant gaps in the band structure which are found to be justifiable from the transmission spectra.

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Quantum transport through a one-dimensional ring with tunnel junctions

Cited by 14 publications

References 23 publications

Photon, electron, magnon, phonon and plasmon mono-mode circuits

Photon, electron, magnon, phonon and plasmon mono-mode circuits

Transmission properties of electron in quantum rings

Giant electronic stop bands in one-dimensional comblike structures

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