Aharonov-Bohm effect for plasmons in a finite-width quantum ring

The magnetoplasma oscillation frequencies of the 2D electrons in a quantum ring have been found taking into account the finite width of the ring in the model allowing for an exact solution for the single-particle spectrum. It is shown that instead of the periodic oscillations of the plasmon frequency ω typical of the 1D ring, ω in the case under consideration depends on the magnetic flux with the frequency and amplitude modulations: the period of oscillations as a function of the magnetic flux and their amplitude depend on the magnetic field strength.     

Conductance oscillations in a deformable quantum ring

Low temperature magnetoconductance oscillation measurements are reported for a deformable quantum ring. The quantum ring is formed from a two-dimensional electron gas in a GaAs/Al_0.3Ga_0.7As heterostructure via electrostatic gates: outside gates define the outer perimeter with two quantum point contacts and a separately contacted center gate forms a central hole with adjustable size. Three lithography layers, aligned to 50 nm precision, were required to achieve independent contact to the center gate. Series of magneto-oscillation power spectra for increasing size of the central hole show two sets of peaks: one at essentially constant magnetic frequency corresponding to the area enclosed by the outer circumference as for edge-state interference and one which shifts to lower frequency corresponding to the area of the electron ring.     

嵌入耦合量子点的介观Aharonov-Bohm环内的持续电流

使用双杂质的Anderson模型的哈密顿量，从理论上研究了一个嵌入耦合量子点的介观Aharonov-Bohm环系统处在Kondo区时的基态性质, 并用slave-boson平均场方法求解了哈密顿量. 结果表明, 在这个系统中, 宇称效应和复杂的电流 相位关系的出现反映了两个量子点可以相干耦合. 关键词： 持续电流 耦合量子点 宇称效应 Kondo效应     

Combined Aharonov-Bohm and Zeeman spin-polarization effects in a double quantum dot ring

A mesoscale Aharonov-Bohm (AB) ring with a quantum dot (QD) embedded in each arm is computationally modeled for unique transmission properties arising from a combination of AB effects and Zeeman splitting of the QD energy levels. A tight-binding Hamiltonian is solved, providing analytical expressions for the transmission as a function of system parameters. Transmission resonances with spin-polarized output are presented for cases involving either a perpendicular field, or a parallel field, or both. The combination of the AB-effect with Zeeman splitting allows sensitive control of the output resonances of the device, manifesting in spin-polarized states which separate and cross as a function of applied field. In the case with perpendicular flux, the AB-oscillations exhibit atypical non-periodicity, and Fano-type resonances appear as a function of magnetic flux due to the flux-dependent shift in the QD energy levels via the Zeeman effect.     

Amplitude of Aharonov-Bohm oscillations in a small semiconductor ring interferometer in the tunneling regime

The amplitude g_AB of Aharonov-Bohm oscillations in a small semiconductor ring interferometer is studied as a function of the average conductance G_AV. Experimentally, it is found that, in the tunneling regime, the relative amplitude g_AB/G_AV of h/e oscillations is constant in the rings under investigation and smaller than unity. The small value of g_AB/G_AV in ring interferometers in the tunneling regime at low temperatures is explained by the difference in the amplitudes of the interfering electron waves.     

Optically mediated spin current and Fano resonance in an Aharonov-Bohm ring with a quantum dot

We study the spin-polarized transport and Fano resonance in an Aharonov-Bohm (AB) interferometer with an embedded quantum dot, where the dot is irradiated by continuous circularly polarized light. Compared with the conventional Fano form, the resonance line shape is found to be deformed by the interplay between the external irradiation and the Coulomb repulsion. The Fano resonance peaks are split due to the shift of the effective energy level in the dot by Rabi oscillation of electron-heavy hole pairs. The direction and magnitude of spin current polarization can be modulated by the device parameters. Furthermore, the direct tunneling between two leads can induce a sharp sign reversal of spin polarization, the system thus operates as a rectifier for spin current polarization.     

Superradiant and Aharonov-Bohm effect for the quantum ring exciton

The Aharonov-Bohm and superradiant effect on the radiative decay rate of an exciton in a quantum ring is studied. With the increasing of ring radius, the exciton decay rate is enhanced by superradiance, while the amplitude of AB oscillation is decreased. The competition between these two effects is shown explicitly and may be observable in time-resolved experiments.     

Optical properties in a two-dimensional quantum ring: Confinement potential and Aharonov-Bohm effect

Optical properties of a two-dimensional quantum ring with pseudopotential in the presence of an external magnetic field and magnetic flux have been theoretically investigated. Our results show that both of the pseudopotential and magnetic field can affect the third non-linear susceptibility and oscillator strength. In addition, we found that the oscillator strength and the absolute value of the resonant peak of the linear, non-linear and total absorption coefficient demonstrates the Aharonov-Bohm oscillation with magnetic flux, moreover, changes in confinement potential can influence the Aharonov-Bohm oscillation in peak while the resonant peak value of the linear, non-linear and total refractive index changes decreases as magnetic flux increases.     

嵌入单量子点Aharonov-Bohm环中的近藤效应

使用单杂质的Ansderson模型, 从理论上研究了一个嵌入单量子点Aharonov-Bohm环系统处在 近藤区时的基态性质, 并用slave-boson平均场方法求解了该模型.结果表明：在零温, 当介 观环内电子平均能级间隔大于近藤关联能时, 系统内仍然存在一个被减弱了的近藤效应；系 统的基态性质依赖于系统的宇称和环的大小；而尺寸效应和近藤屏蔽效应的共存导致了系统 丰富的物理性质.同时, 可以通过测量介观环中的持续电流和杂质磁化率, 达到探测近藤屏 蔽云的目的. 关键词： 持续电流 杂质磁化率 宇称效应 近藤效应 近藤屏蔽云     

嵌入量子点的介观Aharonov-Bohm环的基态与持续电流

对嵌入量子点的介观金属环进行了研究.在二级微扰变分近似下得出了其基态能量表达式和基态持续电流表达式，并在库仑排斥势趋于无穷大的假设下，得到了系统Kondo温度及持续电流的数值计算结果.并且将它们与一级微扰变分近似所得结果进行了对比，指出了它们之间存在的差异，对于这一系统二级微扰变分近似将给出更好的数值计算结果. 关键词： Kondo效应 持续电流 变分法     

Optical detection of the Aharonov-Bohm effect on a charged particle in a nanoscale quantum ring

We study spectroscopically the current produced by a charged particle moving in a nanosize semiconductor quantum ring subject to a perpendicular magnetic field. Several Aharonov-Bohm oscillations are observed in the emission of a charged exciton confined in a single ring structure. The magnetic field period of the oscillations correlates well with the size of the rings.     

Persistent current and transmission probability in the Aharonov-Bohm ring with an embedded quantum dot

Persistent current and transmission probability in the Aharonov-Bohm (AB) ring with an embedded quantum dot (QD) are studied using the technique of the scattering matrix. For the first time, we find that the persistent current can arise in the absence of magnetic flux in the ring with an embedded QD. The persistent current and the transmission probability are sensitive to the lead-ring coupling and the short-range potential barrier. It is shown that increasing the lead-ring coupling or the short-range potential barrier causes the suppression of the persistent current and the increasing resonance width of the transmission probability. The effect of the potential barrier on the number of the transmission peaks is also investigated. The dependence of the persistent current and the transmission probability on the magnetic flux exhibits a periodic property with period of the flux quantum.     

Current oscillations in a double quantum well during quasistationary state decay

Temporal current oscillations in a double quantum well caused by interference of the wave functions of quasistationary states are considered. An algorithm and results of calculations of the spectral function of the system and time dependences of the probability of particle localization in the double well and of the current in the well are presented.     

The circulating current in an Aharonov-Bohm ring with a quantum dot: Role of transport current and phonons

We study current and heat of an Aharonov-Bohm ring with a quantum dot, and find that the circulating current can be modulated by the transport current. Similar to the transport current, the circulating current is reduced by the polaron effect. Moreover, there exists an additional contribution from the electron-phonon interaction.     

Electronic properties of a quantum ring perturbed with a quantum well in the presence of perpendicular magnetic flux

Here, we study the effects of the number of sites, quantum ring radius and potential well depth on the energy levels, persistent current, magnetic susceptibility and density of states (DOS) of a quantum ring with a quantum well within its circumstance in a magnetic flux perpendicular to its plane. We show that, for small radius quantum ring systems, there are periodic local gaps along the magnetic flux axis in the DOS plots and along the axis ‘energy’. For large radius quantum ring systems, a uniform gap along the energy axis exists and along the phi axis nothing changes. In quantum rings with a quantum well in their circumstance, by using the large confining potential, we can create uniform gaps in the Energy–phi plane. The energy eigenvalues, persistent current and magnetic susceptibility decrease by increasing the confining potential. A quantum ring even with a very small confining potential in its circumstance can sensibly decrease the persistent current and magnetic susceptibility, although it may do not change the energy eigenvalues and DOS maximum considerably. Thus, by using the abovementioned parameters, we are able to tune the DOS, persistent current, magnetic susceptibility and energy levels, desirably.     

Fractional Aharonov-Bohm oscillation of a two-layer ring with two electrons

When a circular ring suffers a special topological transformation, it becomes a two-layer ring. Due to the special topology of the two-layer ring, orbital angular momenta are allowed to be a half-integer. This would affect the traditional Aharonov-Bohm oscillation (ABO). In this paper, the fractional ABO (FABO) of the ground state energy, persistent current and dipole transition of a two-layer ring with two electrons has been studied. Collective and internal coordinates (θ_C, ϕ) have been introduced. Based on them, a very simple formula for the current has been obtained, the symmetry constraint imposed on the dipole transition has been clarified and a strict relation between the photon energies of the dipole radiation and the persistent current of the ground state has been found. Comparing with the one-layer ring, the period of the fractional ABO of the two-layer ring becomes much shorter.