Electrodynamic response of a nanosphere

The electrodynamic response of electron gas on the surface of a nanosphere in a weak magnetic field is studied. The case of the photon polarization vector oriented parallel to the magnetic field (the Faraday geometry) is considered. An analytic expression for the coefficient of electromagnetic-radiation absorption by the nanosphere is derived. It is shown that, at low temperatures, the absorption curve has, in the general case, two resonance peaks. The curve also exhibits breaks.     

A hybrid-phonon resonance in a quasi-two-dimensional nanostructure

The coefficient of absorption of electromagnetic radiation by a quasi-two-dimensional electron gas placed in an oblique magnetic field is found. The scattering of electrons by optical phonons is shown to lead to resonant absorption. The shape of the resonance peaks on the absorption curve is studied, and their doublet nature is demonstrated. Finally, the dependence of the resonance peaks on the angle between the magnetic field vector and the confinement plane is investigated. Zh. éksp. Teor. Fiz. 111, 1092–1106 (March 1997)     

Three-phonon assisted cyclotron harmonic transitions in the magnetophotoconductivity of n-InSb

The CO₂ laser-induced magnetophotoconductivity of n-InSb (10¹⁴ cm^-3) at liquid helium temperatures exhibits resonant structure which depends upon the photon energy and the magnetic field. The resonant peaks are explained on the basis of a simple model in which an electron absorbs a photon and emits successively three LO phonons.     

Absorption of electromagnetic radiation by electrons of a nanosphere

The electrodynamic response of an electron gas on the surface of a nanosphere is investigated. An analytical relationship for the absorption of electromagnetic radiation by the nanosphere is derived. It is demonstrated that the absorption curve at low temperatures has two resonance peaks. The shape, position, and intensity of the peaks are examined. The dependence of the absorption on the radiation frequency exhibits kinks associated with the degeneracy of the electron gas. The number and position of the kinks and the absorption jumps at these kinks are analyzed. Consideration is given to the cases of an isolated sphere and a sphere exchanging electrons with a reservoir.     

Ballistic conductance of a quasi-one-dimensional microstructure in a parallel magnetic field

We discuss the behavior of the ballistic conductance of a quasi-one-dimensional microstructure in a parallel magnetic field when there is electron scattering by a single point impurity inside a channel. An exact analytic formula for the conductance is derived for a model in which the confinement potential is a parabolic well. We show that the conductance curve consists of quantization steps with sharp resonance peaks near the thresholds. Finally, we find the amplitudes and halfwidths of these peaks. Zh. éksp. Teor. Fiz. 111, 2215–2225 (June 1997)     

Giant quantum oscillations of the skin layer in semimetals

We study theoretically the effect of electron energy quantization in a magnetic field on the penetration of radio waves into a semimetal in a geometry in which a constant magnetic field H is directed along the trigonal axis of a crystal. In this geometry, strong magnetic Landau damping in semimetals prevents wave propagation and is responsible for the skin effect. It is shown that quantization of the transverse energy of electrons considerably influences the effectiveness of collisionless absorption of the wave. As a result, the magnetic Landau damping and the skin depth experience giant oscillations upon a change in magnetic field H.     

Cyclotron resonance in quasi-two-dimensional conductors

A theoretical analysis is made of the resonant absorption of RF electromagnetic wave energy in layered conductors having a quasi-two-dimensional electron energy spectrum. An analysis is made of the influence of possible drift of carriers into the conductor and their Fermi-liquid interaction on the position of the cyclotron resonance lines. A reason is given for the substantial difference between the cyclotron effective masses determined from the temperature dependence of the amplitude of the Shubnikov-de Haas oscillations and from measurements of the cyclotron resonance frequencies in [5–7]. It is shown that by means of an experimental investigation of cyclotron resonance in a magnetic field parallel to the layers, it is possible to find the carrier velocity distribution at the Fermi surface in layered organic conductors.     

Nonlinear waves in bismuth

The propagation of short radio waves in a bismuth crystal in a constant magnetic field H aligned parallel to the bisecting axis oriented normally to the surface of the crystal plate is investigated theoretically. In this geometry, spatial inhomogeneity of the wave field has a weak effect on electrons and a strong effect on holes. It is demonstrated that, in a certain range of magnetic field strengths H, the bismuth crystal is characterized by two modes, namely, a helicon and a doppleron, whose damping is governed by cyclotron absorption of holes. For small amplitudes of the wave field in a linear regime, the damping lengths of both modes are relatively short due to cyclotron absorption. In a nonlinear regime, the magnetic field of the radio wave captures holes responsible for cyclotron absorption. As a result, the absorption is suppressed and the damping lengths of the helicon and the doppleron increase drastically. The excitation of these modes in the bismuth plate results in the fact that the dependence of the impedance of the plate on the magnetic field strength H exhibits resonance behavior and the transmittance of the plate increases by more than two orders of magnitude. It is shown that this effect should manifest itself at frequencies of the order of a few megahertzes in relatively weak magnetic fields (of the order of a few tens of oersteds).     

Observation of coupled cyclotron-plasmonlo phonon modes in InSb for sample configurations ranging from Faraday to Voigt

In an external magnetic field the coupled plasmon-LO phonon modes interact with the single-particle cyclotron modes to produce, in general, three modes which are i.r. active for all sample configurations except the Faraday configuration. In normal-incidence experiments on a thin sample of n-InSb, we have observed the shift in position of the coupled-mode resonance absorption lines as the magnetic field is tilted in steps from the Faraday to the Voigt configuration. We also observed the magnetic field dependence of the intensity and width of the absorption lines which are related to the electron and LO phonon strengths of the modes. Calculations of transmittance and reflectance are in good qualitative agreement with the experimental observations.     

Nonlinear cyclotron-impurity resonance in semiconductors

The nonlinear absorption of electromagnetic radiation by electrons in a quantizing magnetic field is investigated. The inclusion of multiphoton processes is shown to result in additional peaks in the absorption curve. The shape and arrangement of these peaks were found. The absorption is shown to depend on the electric field strength in the electromagnetic wave nonlinearly and nonmonotonically. The results obtained are in good agreement with experimental data.     

Intraband absorption of electromagnetic radiation by quantum nanostructures with parabolic confinement potential

The intraband absorption of electromagnetic radiation by two types of nanostructures of cylindrical symmetry—by a quantum cylinder (ring) and a quantum wire—is investigated. Analytical expressions for the coefficients of absorption of high-frequency electromagnetic radiation by the electron gas of nanostructures are obtained. It is shown that the absorption curve exhibits resonance peaks and that, in the case of a degenerate gas, these peaks have breaks.     

Two-photon interband magneto absorption in InSb

Two-photon interband magnetoabsorption in InSb has been studied by measuring the resulting changes in the photoconductivity and free-hole absorption as a function of magnetic field and incident photon energy. In both the photoconductivity and transmission measurements, resonant structure with the peaks occuring at the same values of magnetic field was observed with the incident light polarized both parallel and perpendicular to the magnetic field. The results thus are not in agreement with the existing theories of two-photon magnetoabsorption. A modification to a perturbation theory approach is suggested that appears to explain the experimental observations.     

Electroluminescence Caused by the Transport of Interacting Electrons through Parallel Quantum Dots in a Photon Cavity

We show that a Rabi‐splitting of the states of strongly interacting electrons in parallel quantum dots embedded in a short quantum wire placed in a photon cavity can be produced by either the para‐ or the dia‐magnetic electron‐photon interactions when the geometry of the system is properly accounted for and the photon field is tuned close to a resonance with the electron system. We use these two resonances to explore the electroluminescence caused by the transport of electrons through the one‐ and two‐electron ground states of the system and their corresponding conventional and vacuum electroluminescense as the central system is opened up by coupling it to external leads acting as electron reservoirs. Our analysis indicates that high‐order electron‐photon processes are necessary to adequately construct the cavity‐photon dressed electron states needed to describe both types of electroluminescence.     

Ultrasonic attenuation of aluminium in transverse magnetic field

The attenuation of longitudinal sound wave in Al single crystal in high transverse magnetic field has been calculated by 4-OPW approximation. The wave vector of the sound wave is parallel to [1$\text{1}$0] axis. In general, the result agrees well with Berre's experiment. The attenuation plotted against the magnetic field direction has 3 peaks which are explained in terms of the geometry of the Fermi surface of Al.     

Balance-equation approach to terahertz-field-driven magnetotransport in semiconductors

We investigate the magnetotransport in semiconductors under the influence of a dc or slowly-varying electric field, an intense polarized radiation field of terahertz frequency, and a uniform magnetic field, being in arbitrary directions and having arbitrary strengths. Effective force- and energy-balance equations are derived by using a gauge that the magnetic field and the high-frequency radiation field are described by a vector potential and the dc or slowly-varying field by a scalar potential, and by distinguishing the slowly-varying velocity from the rapidly-oscillating velocity related to the high-frequency field. These equations, which include the elastic photon process and all orders of multiphoton absorption and emission processes, are applied to the examination of the effect of a terahertz radiation on the magnetophonon resonance of the longitudinal resistivity in the transverse configuration in nonpolar and polar semiconductors. We find that the previous zero-photon resonance peaks are suppressed by the irradiation of the terahertz field, while many new peaks, which may be related to multiphoton absorption and emission processes, emerge and can become quite distinct, at moderately strong radiation field. Received 17 May 1999     

Theory of microwave absorption by the spin-1/2 Heisenberg-Ising magnet

We analyze the problem of microwave absorption by the Heisenberg-Ising magnet in terms of shifted moments of the imaginary part of the dynamical susceptibility. When both the Zeeman field and the wave vector of the incident microwave are parallel to the anisotropy axis, the first four moments determine the shift of the resonance frequency and the linewidth in a situation where the frequency is varied for fixed Zeeman field. For the one-dimensional model we can calculate the moments exactly. This provides exact data for the resonance shift and the linewidth at arbitrary temperatures and magnetic fields. In current ESR experiments the Zeeman field is varied for fixed frequency. We show how in this situation the moments give perturbative results for the resonance shift and for the integrated intensity at small anisotropy as well as an explicit formula connecting the linewidth with the anisotropy parameter in the high-temperature limit.     

Anisotropic exciton Stark shift in hemispherical quantum dots

The exciton Stark shift and polarization in hemispherical quantum dots(HQDs) each as a function of strength and orientation of applied electric field are theoretically investigated by an exact diagonalization method. A highly anisotropic Stark redshift of exciton energy is found. As the electric field is rotated from Voigt to Faraday geometry, the redshift of exciton energy monotonically decreases. This is because the asymmetric geometric shape of the hemispherical quantum dot restrains the displacement of the wave function to the higher orbital state in response to electric field along Faraday geometry. A redshift of hole energy is found all the time while a transition of electron energy from this redshift to a blueshift is found as the field is rotated from Voigt to Faraday geometry. Taking advantage of the diminishing of Stark effect along Faraday geometry, the hemispherical shapes can be used to improve significantly the radiative recombination efficiency of the polar optoelectronic devices if the strong internal polarized electric field is along Faraday geometry.     

Interaction of a shear wave with a moving domain wall in a ferromagnetic crystal with allowance for the external magnetic field

The boundary-value problem of the magnetoelastic wave interaction with a moving domain wall in a ferromagnetic crystal is solved in the nonexchange magnetostatic approximation with allowance for the external magnetic field. It is shown that the difference introduced by magnetic field between the ferromagnetic resonance frequencies of the domains does not cause any noticeably departure of the refraction characteristics of reflected and transmitted waves from those observed at zero frequency mismatch. By contrast, the magnitudes of the transmission and reflection coefficients strongly depend on the external magnetic field and on the mobility of the domain wall. The dependence of the magnitude of the reflection coefficient on the external magnetic field at a fixed angle of shear wave incidence is found to possess two ferromagnetic resonance peaks. The positions and heights of the peaks may vary depending on the mobility of the domain wall.     

两端线型双量子点分子Aharonov-Bohm干涉仪电输运

设计一个两端线型双量子点分子Aharonov-Bohm (A-B)干涉仪. 采用非平衡格林函数技术, 理论研究无含时外场作用下的体系电导和引入含时外场作用下的体系平均电流. 在不考虑含时外场时, 调节点间耦合强度或磁通可以诱导电导共振峰劈裂. 控制穿过A-B干涉仪磁通的有无, 实现了共振峰电导数值在0与1之间的数字转换, 为制造量子开关提供了一个新的物理方案. 同时借助磁通和Rashba自旋轨道相互作用, 获得了自旋过滤. 当体系引入含时外场时, 平均电流曲线展示了旁带效应. 改变含时外场的振幅, 实现了体系平均电流的大小与位置的有效控制, 而调节含时外场的频率, 则可以实现平均电流峰与谷之间的可逆转换. 通过调节磁通与Rashba自旋轨道相互作用, 与自旋相关的平均电流亦得到有效控制. 研究结果为开发利用耦合多量子点链嵌入A-B 干涉仪体系电输运性质提供了新的认知. 上述结果可望对未来的量子器件设计与量子计算发挥重要的指导作用.     

New polaron effect in magnetooptic phenomena in a quantum well

It is predicted that resonance coupling between two discrete electron energy levels corresponding to different size-quantization quantum numbers and different Landau quantum numbers can occur in a quantum well in a quantizing magnetic field. The resonance coupling is due to the interaction of an electron with LO phonons and results in the formation of polaron states of a new type. It is shown that for a certain value of the magnetic field, which depends on the splitting of the electron size-quantization levels, the absorption peak and the two-phonon resonance Raman scattering peak split into two components, the separation between which is determined by the electron-phonon coupling constant. The resonance coupling between size-quantization levels with the same Landau quantum numbers is also studied. The splitting of the peaks in this case is virtually independent of the magnetic field and can be observed in much weaker fields. The experimental observation of the effect will make it possible to determine the relative position of the electronic levels and the electron-phonon coupling constant. Pis’ma Zh. éksp. Teor. Fiz. 65, No. 7, 511–515 (10 April 1997)