Coulomb drag as a probe of the nature of compressible States in a magnetic field

Magnetodrag reveals the nature of compressible states and the underlying interplay of disorder and interactions. At nu=3/2 clear T(4/3) dependence is observed, which signifies the metallic nature of the N=0 Landau level. In contrast, drag in higher Landau levels reveals an additional contribution, which anomalously grows with decreasing T before turning to zero following a thermal activation law. The anomalous drag is discussed in terms of electron-hole asymmetry arising from disorder and localization, and the crossover to normal drag at high fields as due to screening of disorder.     

Ground state energy of two dimensional electrons in strong magnetic fields: Small clusters in fractional occupations

We diagonalize numerically the Hamiltonian for a two-dimensional system of up to seven interacting via Coulomb force electrons in a strong magnetic field using the symmetric gauge. The effect of positive charge background is taken into account. We find significant downward cusps for certain values of the total angular momentum corresponding to fractional occupation of the lowest Landau level in agreement with results obtained by using Landau gauge. This commensurate energy for fractional occupation is interpreted in terms of the “closest configuration” in the space of single particle angular momentum.     

Thickness effects on the Coulomb drag rate in double quantum layer systems

In this paper, we have investigated the effect of quantum layer thickness on Coulomb drag phenomenon in a double quantum well (DQW) system, in which the electrons momentum can transfer from one layer to another. We have applied the full random phase approximation (RPA) in dynamical dielectric matrix of this coupled two-dimensional electron gas (2DEG) system in order to obtain an improved result for temperature-dependent rate of momentum transfer. We have calculated the drag rate transresistivity for various well thicknesses at low and intermediate temperatures in Fermi-scale and for different electron gas densities. It has been obtained that the Coulomb drag rate increases with increasing the well width when the separation between the wells remains unchanged.     

均匀流中近壁面垂直流向振荡圆柱水动力特性研究

对均匀来流下靠近壁面处在垂直流向做强迫振荡运动的光滑圆柱的水动力特性进行了试验研究. 试验在拖曳水池中进行, 雷诺数为2× 10⁵, 通过采集顺流向和垂直流向的力, 得到了阻力系数、升力系数、相位角等与间隙比、振荡频率和振幅之间的关系. 通过研究得到如下结论: 1)振荡圆柱的平均阻力系数在近壁面处随间隙比的减小而骤降; 2)振荡圆柱泄涡受到完全抑制的临界间隙比要小于静止圆柱; 3)近壁面的存在对振荡圆柱的能量传递有着重要的影响, 自由边界圆柱强迫振荡所得到的水动力系数不能用来预报海底管道的涡激振动; 4)对于振荡圆柱, 附加质量系数只有在一定的频率范围内才是定值, 且在低频率区域其绝对值随间隙比减小而增大; 5)圆柱在进行强迫振荡时, 其平均阻力系数、振荡阻力系数和振荡升力系数均随无因次振幅的增加而增大. 关键词： 海底管道 强迫振荡 水动力特性 涡激振动     

Features of the electron-photon drag effect in a spiral ribbon in the external magnetic field

The features of the photon drag effect in a spiral two-dimensional ribbon, which are associated with an asymmetric electron energy spectrum in a longitudinal magnetic field, have been studied theoretically. The effect of the anisotropic transfer of the photon momentum to the electron system in a spectral dependence of the photon drag current density has been revealed.     

Photon-drag effect in a two-dimensional electron gas in high magnetic fields

We present the first measurements concerning the photon drag effect in a two-dimensional electron gas based on intersubband transitions in high magnetic fields. It is shown that the excitation mechanism of the drag voltage in a magnetic field differs obviously from the case of zero magnetic field. The longitudinal as well as the Hall drag voltage show strong oscillations around zero when the magnetic field is swept. Both consist of a B-symmetrical and an antisymmetrical part with the same periodicity in B as the magnetoresistanceR_xx. The drag voltage oscillations are strongly correlated to the relative position of Fermi energy and Landau levels and are independent of the photon energy in the range of usable laser lines.     

Oscillating Nernst-Ettingshausen effect in bismuth across the quantum limit

In elemental bismuth, 10(5) atoms share a single itinerant electron. Therefore, a moderate magnetic field can confine electrons to the lowest Landau level. We report on the first study of metallic thermoelectricity in this regime. The main thermoelectric response is off-diagonal with an oscillating component several times larger than the nonoscillating background. When the first Landau level attains the Fermi energy, both the Nernst and the Ettingshausen coefficients sharply peak, and the latter attains a temperature-independent maximum. These features are yet to be understood. We note a qualitative agreement with a theory invoking current-carrying edge excitations.     

Tuning the effects of Landau level mixing on anisotropic transport in quantum Hall systems

Electron-electron interactions in half-filled high Landau levels in two-dimensional electron gases in a strong perpendicular magnetic field can lead to states with anisotropic longitudinal resistance. This longitudinal resistance is generally believed to arise from broken rotational invariance, which is indicated by charge density wave order in Hartree-Fock calculations. We use the Hartree-Fock approximation to study the influence of externally tuned Landau level mixing on the formation of interaction-induced states that break rotational invariance in two-dimensional electron and hole systems. We focus on the situation when there are two non-interacting states in the vicinity of the Fermi level and construct a Landau theory to study coupled charge density wave order that can occur as interactions are tuned and the filling or mixing are varied. We consider numerically a specific example where mixing is tuned externally through Rashba spin-orbit coupling. We calculate the phase diagram and find the possibility of ordering involving coupled striped or triangular charge density waves in the two levels. Our results may be relevant to recent transport experiments on quantum Hall nematics in which Landau level mixing plays an important role.     

Coulomb drag in the quantum Hall state: Role of disorder

We consider Coulomb drag between two layers of two-dimensional electron gases subject to a strong magnetic field, with the Landau level filling factor in each layer being . We find to be very large, as compared to the zero magnetic field case. We attribute this enhancement to the slow decay of density fluctuations in a strong magnetic field. For a clean system, the linear -dependence of the longitudinal conductivity, characteristic of the state, leads a unique temperature dependence – . Within a semiclassical approximation, disorder leads to a decrease of the transresistivity as compared to the clean case, and a temperature dependence of at low temperatures.     

Resonant Photon Drag of Dipolar Excitons

The theory of the photon drag of dipolar excitons in double-quantum-well nanostructures is presented. It is shown that the exciton-drag flux density features a resonant behavior if the photon frequency is close to some transition frequency in the discrete exciton spectrum. When the structure is irradiated with polarized light, the resonant enhancement of the drag current occurs when the photon energy coincides with the energy of an excited level of the exciton internal motion and the components of the angular momentum of internal motion in the initial and final states differ by one. The proposed effect can be used to control exciton transport in nanostructures based on a two-dimensional exciton gas.     

Vortex drag in the quantum Hall effect

A new model of momentum and electric field transfer between two adjacent 2D electron systems in the quantum Hall effect is proposed. The drag effect is due to momentum transfer from the vortex system of one layer to the vortex system of another layer. The remarkable result of this approach is a periodic change of sign of the dragged electric field as a function of the difference between the layer filling factors. Pis’ma Zh. éksp. Teor. Fiz. 67, No. 4, 276–279 (25 February 1998) Published in English in the original Russian journal. Edited by Steve Torstveit.     

Mesoscopic effects in the quantum Hall regime

We report results of a study of (integer) quantum Hall transitions in a single or multiple Landau levels for non-interacting electrons in disordered two-dimensional systems, obtained by projecting a tight-binding Hamiltonian to the corresponding magnetic subbands. In finite-size systems, we find that mesoscopic effects often dominate, leading to apparent non-universal scaling behavior in higher Landau levels. This is because localization length, which grows exponentially with Landau level index, exceeds the system sizes amenable to the numerical study at present. When band mixing between multiple Landau levels is present, mesoscopic effects cause a crossover from a sequence of quantum Hall transitions for weak disorder to classical behavior for strong disorder. This behavior may be of relevance to experimentally observed transitions between quantum Hall states and the insulating phase at low magnetic fields.     

Energy and momentum associated with solutions exhibiting directional type singularities

We obtain the energy and momentum densities of a general static axially symmetric vacuum space-time, the Weyl metric, with the help of Landau – Lifshitz and Bergmann – Thomson energy-momentum complexes. We find that these two definitions of energy-momentum complexes do not provide the same energy density for the space-time under consideration, while give the same momentum density. We show that, in the case of the Curzon metric (a particular case of the Weyl metric), these two definitions give the same energy only when R → ∞. Furthermore, we compare these results with those obtained using Einstein, Papapetrou and MØller energy momentum complexes.     

Three-wave mixing of bogoliubov quasiparticles in a bose-einstein condensate

A dressed basis is used to calculate the dynamics of three-wave mixing between Bogoliubov quasiparticles in a Bose condensate. Because of the observed oscillations between different momentum modes, an energy splitting, analogous to the optical Mollow triplet, appears in the Beliaev damping spectrum of the excitations from the oscillating modes.     

Intrinsic gap of the nu=5/2 fractional quantum Hall state

The fractional quantum Hall effect is observed at low magnetic field where the cyclotron energy is smaller than the Coulomb interaction energy. The nu=5/2 excitation gap at 2.63 T is measured to be 262+/-15 mK, similar to values obtained in samples with twice the electronic density. Examining the role of disorder on the 5/2 state, we find that a large discrepancy remains between theory and experiment for the intrinsic gap extrapolated from the infinite mobility limit. The observation of a 5/2 state in the low-field regime suggests that inclusion of nonperturbative Landau level mixing may be necessary to fully understand the energetics of half-filled fractional quantum Hall liquids.     

Quantization of persistent currents in quantum dot at strong magnetic fields

We investigate equilibrium electron currents and magnetization in an ideal two-dimensional disc of radius R placed in a strong magnetic field H. The most striking results emerge when the conditions for the existence of edge and bulk states are met, namely . When the Fermi energy is locked on a Landau level, the current as a function of electron density is quantized in units of , where ω_c is the cyclotron frequency. We argue that this effect survives against weak disorder. It is also shown that the persistent current has an approximately periodic dependence on 1/H.     

Acoustic einstein-hopf drag on a bubble

Theoretical results show that the drag on a bubble can be modified by the presence of isotropic, homogeneous, broadband acoustic noise, when the band overlaps the bubble's resonance width. While these results constitute an acoustic analog to the Einstein-Hopf drag on an oscillating dipole in the presence of electromagnetic fluctuations, an important difference is that band-limited acoustic noise can reduce the drag when the lower frequency of the spectrum coincides with the resonant frequency of the bubble. Applications to bubble migration, heat transfer, and acoustophoresis are suggested.     

High Phonon Frequency Approximation in the Calculation of Phonon Drag Magnetothermopower

At high magnetic fields and low temperatures the phonon drag magnetothermopower is dominated by phonons with energies much greater than k_BT. This fact is used to develop an approximate formula which can be evaluated in a few percent of the time required by the rigorous result. We show that the predominant contribution to the magnetothermopower comes from the transition process in which both the initial Landau level and the final Landau level have the same quantum number n = n'= n_f where nf distinguishes the level nearest to the Fermi energy. A double summation over n and n'can therefore be neglected. In the temperature range of 1.275 K to 5.005 K, all the HPFA results agree with the experimental data and the rigorous theoretical results qualitatively. At T = 2.495 and 2.937 K, the HPFA results arein fair quantitative accordance with the experimental data and the rigorous theoretical results.