Nonlocal Aharonov–Bohm conductance oscillations in an asymmetric quantum ring

Buchholz, Sven S.; Fischer, Saskia F.; Kunze, U.; Reuter, D.; Wieck, A. D.

doi:10.1063/1.3069281

Cited by 26 publications

(27 citation statements)

References 26 publications

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“…Visualization of the transmission phase of the embedded quantum dot requires a continuous phase drift of the AB oscillations while scanning through the Fermi energy [13]. Since already the empty device shows complicated effects [34,35,42], a suitable and careful preparation of the setup is required. Reflection in the junctions and standing waves in the arms lead to resonances and nontrivial scattering effects.…”

Section: Methodsmentioning

confidence: 99%

“…Experimental advances in this direction have been made recently trying to find more clear criteria about when the phase measurements can be trusted and when the contributions from multiple path can be neglected [33]. A different approach was taken by Fischer et al [34]. The purpose was to make very controllable experiments that could be verified by theoretical simulations.…”

Section: Introductionmentioning

confidence: 99%

“…For this purpose we use timedependent wave packet simulations [35,38] of the whole device from which we extract the complex transmission at different energies from a single run. For our simulations we use a variation of the device fabricated by Fischer et al [34] including a harmonic dot in one of the arms of the interferometer. Using this configuration has several advantages: it has been shown to be experimentally feasible and the pure interferometer without dot has been theoretically modeled before [35,39].…”

Section: Introductionmentioning

confidence: 99%

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Time-dependent wave packet simulations of transport through Aharanov–Bohm rings with an embedded quantum dot

Kreisbeck¹,

Kramer²,

Molina³

2017

J. Phys.: Condens. Matter

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Abstract. We have performed time-dependent wave packet simulations of realistic Aharonov-Bohm (AB) devices with a quantum dot embedded in one of the arms of the interferometer. The AB ring can function as a measurement device for the intrinsic transmission phase through the quantum dot, however, care has to be taken in analyzing the influence of scattering processes in the junctions of the interferometer arms. We consider a harmonic quantum dot and show how the Darwin-Fock spectrum emerges as a unique pattern in the interference fringes of the AB oscillations.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Time-dependent wave packet simulations of transport through Aharanov–Bohm rings with an embedded quantum dot

Kreisbeck¹,

Kramer²,

Molina³

2017

J. Phys.: Condens. Matter

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show abstract

“…Several papers have reported calculations on wave packet propagation in nanostructured systems, [12][13][14][15] hence, a number of numerical techniques for this kind of calculation is available in the literature, such as the expansion of the time evolution operator in Chebyshev polynomials, 16 and Crank-Nicolson based techniques. 17 In the present work, the propagation of the wave packet in Eq.…”

Section: Theoretical Modelmentioning

confidence: 99%

Braess paradox at the mesoscopic scale

et al. 2013

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We theoretically demonstrate that the transport inefficiency recently found experimentally for branched-out mesoscopic networks can also be observed in a quantum ring of finite width with an attached central horizontal branch. This is done by investigating the time evolution of an electron wave packet in such a system. Our numerical results show that the conductivity of the ring does not necessary improves if one adds an extra channel. This ensures that there exists a quantum analogue of the Braess Paradox, originating from quantum scattering and interference.

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“…When the heterostructure is placed in an electric or magnetic field with a certain intensity, the bound state energies of the electron and hole will change considerably. Moreover, the Stark effect [17,18] or the Aharonov-Bohm oscillation [19,20] can be observed by applying an electric or magnetic field, respectively.In this article, we investigate the artificial molecule which is comprised of three identical strain-coupled vertically aligned InAs/GaAs quantum rings. The strain field is…”

mentioning

confidence: 99%

Strain distribution and electronic structures of the InAs/GaAs quantum ring molecule in an applied electric field

Jia

Liu

et al. 2010

Sci. China Phys. Mech. Astron.

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The strain distribution and electronic structures of the InAs/GaAs quantum ring molecule are calculated via the finite element method. In our model, three identical InAs quantum rings are aligned vertically and embedded in the cubic GaAs barrier. Considering the band edge modification induced by the strain, the electronic ground state and the dependence of ground state energy on geometric parameters of the quantum ring molecule are investigated. The change of localization of the wavefunction resulting from the applied electric field along the growth direction is observed. The ground state energy decreases as the electric field intensity increases in a parabolic-like mode. The electric field changes the monotonic dependence of the energy level on the inter-ring distance into a non-monotonic one. However, the electric field has no effect on the relationships between the energy level and other geometric parameters such as the inner radius and outer radius. strain distribution, electronic structure, quantum ring molecule, applied electric field PACS: 68.65.Hb, 73.21.La, 81.40.JjNanostructures such as quantum dots and quantum rings have been subjects of great interests for their application in optoelectronic devices [1][2][3][4][5]. Besides the single nanostructure, artificial molecules consisting of quantum dots or rings are particularly attractive because they are promising in quantum information processing [6] and terahertz devices [7]. Recently, the coupled quantum dot molecules and quantum ring molecules have been produced by many groups [8][9][10][11]. For these nanostructures, the formation, evolution and photoluminescence are experimentally studied [8,12,13] while the electronic structures and excitonic properties are theoretically calculated [14-16]. In particular, within the above works, Granados et al. studied the vertical order and the optical properties of stacked quantum rings composed of three layers [8]. Excitonic properties of vertical coupled In(Ga)As/GaAs triple quantum ring molecule [15] and InP/InGaP triple quantum dot molecule [16] theoretically studied by Tadić et al. are also of great interests.In the growth of vertically-stacked lattice-mismatched heterostructures, such as InAs/GaAs quantum dots or rings, the strain plays an important role in aligning the dots or rings in different layers. Compared with a quantum well superlattice, the strain in stacked quantum dots or rings is non-uniform and penetrates into the barrier, which has notable effects on electronic structures. Besides the quantum confinement and the strain distribution, external potential is another factor that determines the energy levels of the electron or hole in the heterostructure. When the heterostructure is placed in an electric or magnetic field with a certain intensity, the bound state energies of the electron and hole will change considerably. Moreover, the Stark effect [17,18] or the Aharonov-Bohm oscillation [19,20] can be observed by applying an electric or magnetic field, respectively.In this article, we investigate ...

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Nonlocal Aharonov–Bohm conductance oscillations in an asymmetric quantum ring

Cited by 26 publications

References 26 publications

Time-dependent wave packet simulations of transport through Aharanov–Bohm rings with an embedded quantum dot

Time-dependent wave packet simulations of transport through Aharanov–Bohm rings with an embedded quantum dot

Braess paradox at the mesoscopic scale

Strain distribution and electronic structures of the InAs/GaAs quantum ring molecule in an applied electric field

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