Aharonov–Bohm ring with a side-coupled quantum dot array as a spin switch

An, Xin; Liu, Jing

doi:10.1063/1.3447933

Cited by 15 publications

(5 citation statements)

References 15 publications

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“…In general, eqs. (14) show that the self-energy vanishes if Σ 13 = t 2 (g 22 e 2iϕ + g 44 e −2iϕ + 2g 24 ) = t 2 D (E − ε 4 )e 2iϕ + (E − ε 2 )e −2iϕ + 2V = 0(23)…”

Section: Resultsmentioning

confidence: 99%

“…Eqs. (14) shows that the flux Φ introduces a phase ±2ϕ in the paths throughout the arms while no phase change occurs in the self-energy corresponding to the interarm coupling. Let us call Σ 13 (ϕ) the self energy with magnetic field.…”

Section: Resultsmentioning

confidence: 99%

“…the Aharonov-Bohm (AB) effect [6], has been envisioned for the feasible exploitation of the quantum phase in electronic devices [4,[7][8][9][10][11][12]. Phase coherent effects in AB rings have been treated theoretically in the literature [13][14][15][16][17][18][19][20][21][22][23]. Closely related to the concept of coherence is the quantum interference between a discrete state with a continuum of states.…”

Section: Introductionmentioning

confidence: 99%

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Transmission through a quantum dot molecule embedded in an Aharonov–Bohm interferometer

Lovey

Gómez

Romero

2011

J. Phys.: Condens. Matter

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We study theoretically the transmission through a quantum dot molecule embedded in the arms of an Aharonov-Bohm four quantum dot ring threaded by a magnetic flux. The tunable molecular coupling provides a transmission pathway between the interferometer arms in addition to those along the arms. From a decomposition of the transmission in terms of contributions from paths, we show that antiresonances in the transmission arise from the interference of the self-energy along different paths and that application of a magnetic flux can produce the suppression of such antiresonances. The occurrence of a period of twice the quantum of flux arises at the opening of the transmission pathway through the dot molecule. Two different connections of the device to the leads are considered and their spectra of conductance are compared as a function of the tunable parameters of the model.

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“…In general, eqs. (14) show that the self-energy vanishes if Σ 13 = t 2 (g 22 e 2iϕ + g 44 e −2iϕ + 2g 24 ) = t 2 D (E − ε 4 )e 2iϕ + (E − ε 2 )e −2iϕ + 2V = 0(23)…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Transmission through a quantum dot molecule embedded in an Aharonov–Bohm interferometer

Lovey

Gómez

Romero

2011

J. Phys.: Condens. Matter

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show abstract

“…This leads to considerable change in the morphology and size of the quantum rings 9 , 10 , probably to produce broadening and shifting of the system energy levels. The quantum rings geometries have many practical applications in nanoelectronics and spintronics devices, including spin switch 11 , including spin filters 12 , Tunable pure spin currents devices 13 , spin beam splitters 14 , solar cells 15 , light emitting diodes 16 , terahertz detectors 17 , 18 , etc. For this purpose different shapes considered so far are multi-shells quantum rings 19 , triangular quantum rings 20 , chiral toroidal carbon nanotubes 21 , few-site Hubbard rings with up to second-nearest neighbor coupling embedded to a ring-shaped lead 22 , ballistic cylindrical nanostructures 23 , rings perturbed with a quantum well 24 , etc.…”

Section: Introductionmentioning

confidence: 99%

Persistent currents and electronic properties of Mandelbrot quantum rings

Tehrani

Solaimani

2023

Sci Rep

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In this study, we investigate the persistent current, and electronic energy levels of Mandelbrot quantum rings. For this purpose, three types of Mandelbrot quantum rings are proposed. Furthermore, Mandelbrot equation is generalized by introducing parameter m, which makes Mandelbrot’s shape more symmetric by adding new branches to it, on the other hand, the iteration parameter M, controls geometrical deficiencies. We explain the procedure needed to form these structures, including a padding scheme, then we solve the resulting two-dimensional Schrodinger equation using the central finite difference method with uniform distribution of the mesh points. Thereafter, we obtain the persistent current in different situations including different Mandelbrot orders and quantum ring shapes. We show that the persistent current can have different shapes and intensities by changing the described geometrical parameters of Mandelbrot quantum rings. We explain this phenomenon by considering symmetries in the potential, and consequently the wavefunction.

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“…[2] A spin switch can be realized by tuning the structure parameters in the Aharonov-Bohm ring with a side-coupled quantum dot array. [3] These studies will contribute to the development of nanoelectronics.…”

mentioning

confidence: 97%

Quantum Switch and Efficient Spin-Filter in a System Consisting of Multiple Three-Quantum-Dot Rings

He¹,

Bai²,

Ye³

et al. 2017

Chinese Phys. Lett.

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Using the non-equilibrium Keldysh Green’s function technique, we investigate electron transport properties of a system consisting of multiple three-quantum-dot rings. The conductance as a function of the electron energy is numerically calculated. An antiresonance point emerges in the conductance spectra and evolves into a well-defined insulating band with the increasing number of three-quantum-dot rings. The position of the well-defined insulating band can be modulated by varying the tunneling coupling strength between adjacent three-quantum-dot rings. When an external magnetic flux is introduced, several to 100% spin-polarized windows will occur due to the Zeeman splitting. These results strongly suggest that this device may realize multiple functions including quantum switch and efficient spin filtering.

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Aharonov–Bohm ring with a side-coupled quantum dot array as a spin switch

Abstract: Articles you may be interested inSpin power and efficiency in an Aharnov-Bohm ring with an embedded magnetic impurity quantum dot

Cited by 15 publications

References 15 publications

Transmission through a quantum dot molecule embedded in an Aharonov–Bohm interferometer

Transmission through a quantum dot molecule embedded in an Aharonov–Bohm interferometer

Persistent currents and electronic properties of Mandelbrot quantum rings

Quantum Switch and Efficient Spin-Filter in a System Consisting of Multiple Three-Quantum-Dot Rings

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