Third-harmonic generation in two-dimensional pseudo-dot system with an applied magnetic field

Third-harmonic generation (THG) in a two-dimensional quantum pseudo-dot system with an applied magnetic field is theoretically investigated. THG coefficient is obtained by using the compact-density matrix approach and an iterative method. Numerical results are presented for typical GaAs/AlGaAs pseudo-parabolic quantum dots. The results show that the external magnetic field and the geometrical size of the pseudo-dot system have evidently influences on the THG, whereas their influences are different.     

Dynamics of 2-D one electron quantum dots in time-dependent magnetic field: Influence of size

We explore the dynamics of harmonically confined single electron quantum dots as a function of dot size under time-dependent magnetic field. The system of interest is a 2-D system in the presence of a perpendicular magnetic field. We show that for given strengths of the confinement potential and effective mass; periodic, as well as exponential variation in the strength of the magnetic field could invite interesting features in the dynamics of the system. Also, the pattern of time evolution of eigenstates of the unperturbed system reveals significant size-dependence. The fluctuation in the magnetic field strength from its initial value is found to modulate the dynamical aspects in a prominent way.     

Simple phase method for measurement of magnetic field gradient waveforms

Magnetic field gradients play a fundamental role in MR imaging and localized spectroscopy. The MRI experiment, in particular fast MRI, relies on precise gradient switching, which has become more demanding with the constantly growing number of fast imaging techniques. Here we present a simple MR method to measure the behavior of a magnetic field gradient waveform in an MR scanner. The method employs excitation of a thin slice, followed by application of the studied gradient and simultaneous FID acquisition. Measurements of different gradient waveforms were performed with a spherical phantom filled with doped water and positioned at the isocenter of the gradient set. The presented experiments demonstrate the capability of the technique to measure different gradient waveforms with an estimated error of less than 200 microT/m.     

准一维强关联Zigzag型材料的自旋动力学

在t-J模型和Fermion-spin理论框架下，研究了准一维强关联Zigzag型材料的自旋动力学.说明了当掺杂一定时，随着次近邻耦合强度的增大，系统出现公度到非公度的转变，而对于耦合强度一定的情况，随着掺杂浓度的增大，系统亦发生从公度到非公度的转变，并且非公度峰的权重随能量的增大而降低. 关键词： t-J模型')" href="#">t-J模型 Fermion-spin理论 Zigzag型材料     

Transport in a shunted surface superlattice with a perpendicular magnetic field

We experimentally investigate the transport through a shunted surface superlattice under the influence of a magnetic field applied perpendicular to the current direction. The current–voltage characteristics of these surface superlattices exhibit a peak which is followed by a wide region of negative differential resistance. The application of a transverse magnetic field has a profound influence on the position and height of this peak. The recorded shifts are compared to the predictions of different superlattice transport theories. Since these theories predict a different dependence on the magnetic field strength, the transport mechanism in the surface superlattice structures can be uniquely determined.     

Direct interband light absorption in a cylindrical quantum dot in quantizing magnetic field

In this paper the direct interband transitions in cylindrical quantum dot (QD) made of GaAs are studied in the presence of a magnetic field. Two models of QD confinement potential are discussed. For both models the expressions for absorption coefficients and dependencies of effective threshold frequencies of absorption on the value of applied magnetic field and on geometrical sizes of QD are obtained. The selection rules corresponding to different transitions between quantum levels are found.     

Non-Weyl resonance asymptotics for quantum graphs in a magnetic field

We study asymptotical behaviour of resonances for a quantum graph consisting of a finite internal part and external leads placed into a magnetic field, in particular, the question whether their number follows the Weyl law. We prove that the presence of a magnetic field cannot change a non-Weyl asymptotics into a Weyl one and vice versa. On the other hand, we present examples demonstrating that for some non-Weyl graphs the “effective size” of the graph, and therefore the resonance asymptotics, can be affected by the magnetic field.     

Electron g-factor in quantum wire in the presence of Rashba effect and magnetic field

In this paper, we study the electron effective Landé g-factor in the InAs quantum wire under an applied magnetic field and the Rashba effect. For this goal, we first present an analytic solution to one-particle Schrödinger equation in the presence of both magnetic field and spin-orbit interaction (SOI). Then, using the obtained energy levels, we study the electron effective Landé g-factor. It is found that: (i) The effective Landé g-factor decreases when magnetic field increases. (ii) By increasing the confinement length l₀, the electron g-factor decreases. (iii) By increasing the strength of SOI, the electron g-factor increases.     

Commensurability oscillations in a quasi-two-dimensional electron gas subject to strong in-plane magnetic field

We report on a theoretical study of the commensurability oscillations in a quasi-two-dimensional electron gas modulated by a unidirectional periodic potential and subject to tilted magnetic fields with a strong in-plane component. As a result of coupling of the in-plane field component and the confining potential in the finite-width quantum well, the originally circular cyclotron orbits become anisotropic and tilted out of the sample plane. A quasi-classical approach to the theory, that relates the magneto-resistance oscillations to the guiding-center drift, is extended to this case.     

Time evolution of initially localized states in two-dimensional quantum dot arrays in a magnetic field

The evolution of non-stationary localized states |Ψ(t=0) is investigated in two-dimensional tight binding systems of N potential wells with and without a homogeneous field perpendicular to the plane. Most results are presented in analytical form, what is almost imperative if the patterns are as complex as for rings in a magnetic field, where the qualitatively different features arise depending on rational or irrational numbers. The systems considered comprise finite linear chains (N=2,3), finite rings (N=3–6), infinite chains, finite rings (N=3–6) in a magnetic field, and rings with leads attached to each ring site. The position of the particle at time t is described by the projection of the wave function P_m(t)=|m|Ψ(t)|² onto the localized basis function at site m. For finite chains and rings with N=3,4,6 the time evolution is periodic, whereas it is non-periodic for N=5 and N greater then 6. Rings in a magnetic field show a rich spectrum of different features depending on N and the number of flux quanta through the ring, including periodic oscillation and rotation of the charge as well as non-periodic charge fluctuations.     

A theoretical model for quantum nanostructures electronic wave functions, magnetic field effects

Analytical solutions of electronic wave functions in symmetric quantum ring (QR), quantum wire (QWR) and quantum dots (QD) structures are given using a parabolic coordinates system. The solutions for low-energy states are combinations of Bessel functions. The density of states of perfect 1D QR and QWR are shown to be equivalent. The continuous evolution from a 0D QD to a perfect 1D QR can be precisely described. The sharp variation of electronic properties, related to the build up of a potential energy barrier at the early stage of the QR formation, is studied analytically. Paramagnetic and diamagnetic couplings to a magnetic field are computed for QR and QD. It is shown theoretically that magnetic field induces an oscillation of the magnetization in QR.     

Variation of H2 bond length with magnetic field

We find a new effect, namely, the variation of the ratio of concentrations of ortho- and para-isomers of hydrogen in thermal equilibrium in a uniform external magnetic field with field strength and temperature, that can be observed experimentally. The observation can determine the variation of bond length with the magnetic field strength.     

Ultrarelativistic electron optics in a weak magnetic field

Within an unprecedented analytical formulation, we find an approximate relationship for the ultrarelativistic velocity of electrons in the presence of a weak, time-independent and uniform magnetic field acting perpendicularly to the trajectory of the electrons. We also determine the corresponding velocity quantum operator whose eigenvalues are also determined as well as their corresponding Landau states. In addition, the corresponding synchrotron radiation losses are calculated.     

On the simulation by a magnetic field of the quantized states in a quantum-well laser diode

The quantized states in a quantum-well semiconductor laser are simulated analytically by a magnetic field perpendicular to the well (infinite quasi-one-dimensional potential well) by deriving a close relationship for the magnetic-field strength which becomes a discrete quantity.     

Mott-Hubbard transition in a magnetic field

We study the density of states (DOS) as a function of the interaction U in the half-filled simplified Hubbard model in a magnetic field. This model is considered on the Bethe lattice in the limit of high dimensions. We show that the DOS can be calculated exactly, and that many of its properties have an astonishingly simple form. In particular, the DOS can be investigated explicitly in the limits of weak and strong coupling and near the metal-insulator transition. E.g., we find an explicit result for the critical value U_c, at which the metal-insulator transition occurs, as a function of the magnetization. The relation between the magnetization and the magnetic field is calculated numerically. An important result is that the metal-insulator transition, occurring in the model with B = 0, is continuously connected to the metal-insulator transition in the subspace of single spin flips.     

Intersubband optical refractive index changes in an asymmetric quantum dot underlying an external static magnetic field

We theoretically investigate the refractive index (RI) changes in an asymmetric quantum dot (QD) underlying an external static magnetic field. We obtain the confined wave functions and energies of an electron in QD by the effective-mass approximation. Using the compact-density-matrix approach and iterative method, we obtain the analytical expressions of linear, nonlinear and total RI changes. The results of numerical calculations for the typical GaAs/AlGaAs QD show that the RI changes are sensitive to the parameters of the asymmetric potential and incident optical intensity. Moreover, the resonance peaks of the RI changes shift with the value of magnetic field B or the radius of the QD changing.     

Landau levels in a novel two-dimensional electron system interacting with charged quantum dots

Landau levels have been theoretically investigated in a two-dimensional electron gas near a quantum dot (QD) layer. By a diagrammatical method, we have formulated the self-energy for the Landau level and deduced its relation to the AC conductivity σ_loc(ω) in the QD layer. As an example, we have examined the density of states in the case where σ_loc(ω) is described by Aω^S(S=0.8). It is found that the Landau levels are broadened due to the interaction with the localized electrons in the QDs.     

Tunable quantum capacitance and magnetic oscillation in bilayer graphene device

We address the quantum capacitance of a bilayer graphene device in the presence of Rashba spin–orbit interaction (SOI) by applying external magnetic fields and interlayer biases. Quantum capacitance reflects the mixing of the spin-up and spin-down states of Landau levels and can be effectively modulated by the interlayer bias. The interplay between interlayer bias and Rashba SOI strongly affects magnetic oscillations. The typical beating pattern changes tuned by Rashba SOI strength, interlayer bias energy, and temperature are examined as well.     

Linear and nonlinear intersubband optical absorption in a disk-shaped quantum dot with a parabolic potential plus an inverse squared potential in a static magnetic field

The linear and nonlinear optical absorption in a disk-shaped quantum dot (DSQD) with parabolic potential plus an inverse squared potential in the presence of a static magnetic field are theoretically investigated within the framework of the compact-density-matrix approach and iterative method. The energy levels and the wave functions of an electron in the DSQD are obtained by using the effective mass approximation. Numerical calculations are presented for typical GaAs/AlAs DSQD. It is found that the optical absorption coefficients are strongly affected not only by a static magnetic field, but also by the strength of external field, the confinement frequency and the incident optical intensity.