Observation of double layers in a convergent magnetic field

An experimental investigation is presented in which an unusually stable space charge double layer is created in a low-pressure argon discharge in a convergent magnetic field. On the high potential side of the double layer unstable high-frequency oscillations are observed. First experimental results seem to indicate that the high-frequency oscillations exert an observable influence on the plasma density by leading to a flattening of the radial/axial density profile on the high potential side of the double layer     

Field-emission in the presence of a magnetic field

Transverse effective-mass effects are studied in a pseudo-one-dimensional Kronig-Penney model. Three-dimensional effects are discussed qualitatively. It is shown that the current must be analyzed in terms of the normal, and not the total energy, of electrons in the vacuum and that band effets appear via a structural dependent modulation which does not reduce to the “simplified effective-mass” approximation.     

Resonance double magnetic bremsstrahlung in a strong magnetic field

The possibility of resonance double magnetic bremsstrahlung in the approximation of weakly excited electron states in a strong external magnetic field is analyzed. The differential probability of this process in the Breit-Wigner form is obtained. The probability of double magnetic bremsstrahlung (second-order process of perturbation theory) is compared with the probability of magnetic bremsstrahlung (first-order process of perturbation theory).     

Stability of bipolarons in the presence of a magnetic field

The stability of large Fröhlich bipolarons in the presence of a static magnetic field is investigated with the path integral formalism. We find that the application of a magnetic field (characterized by the cyclotron frequence ω _c) favors bipolaron formation: (i) the critical electronphonon coupling parameter α _c (above which the bipolaron is stable) decreases with increasing ω _c and (ii) the critical Coulomb repulsion strength U _c (below which the bipolaron is stable) increases with increasing ω _c. The binding energy and the corresponding variational parameters are calculated as a function of α, U and ω _c. Analytical results are obtained in various limiting cases. In the limit of strong electron-phonon coupling (α ? 1) we obtain for ω _c ? 1 that E _estim ? E _estim(ω _c = 0) + c(u)ω _c/α ⁴ with c(u) an explicitly calculated constant, dependent on the ratio u = U/α where U is the strength of the Coulomb repulsion. This relation applies both in 2D and in 3D, but with a different expression for c(u). For ω _c ? α ²? 1 we find in 3D E _estim ? ω _c - α ² A(u) ln²(ω _c/α ²), (also with an explicit analytical expression for A(u)) whereas in 2D E _estim ^2D ? ω _c - α√ω _cπ(u-2-√2)/2. The validity region of the Feynman-Jensen inequality for the present problem, bipolarons in a magnetic field, remains to be examined.     

Polaronic effects on the energy levels of a double donor impurity in quantum wells in the presence of a magnetic field

In the presence of a magnetic field the Hamiltonian of the single or double polaron bound to a helium-type donor impurity in semiconductor quantum wells (QWs) are given in the case of positively charged donor center and neutral donor center. The couplings of an electron and the impurity with various phonon modes are considered. The binding energy of the single and double bound polaron in Al_xlGa _1-xlAs/GaAs/Al_xrGa _1-xrAs QWs are calculated. The results show that for a thin well the cumulative effects of the electron-phonon coupling and the impurity-phonon coupling can contribute appreciably to the binding energy in the case of ionized donor. In the case of neutral donor the contribution of polaronic effects are not very important, however the magnetic field significantly modifies the binding energy of the double donor. The comparison between the binding energies in the case of the impurity placed at the quantum well center and at the quantum well edge is also given. Received 16 February 1999     

Extended Hubbard model in the presence of a magnetic field

Within the Green’s function and equations of motion formalism it is possible to exactly solve a large class of models useful for the study of strongly correlated systems. Here, we present the exact solution of the one-dimensional extended Hubbard model with on-site U and first nearest neighbor repulsive V interactions in the presence of an external magnetic field h, in the narrow band limit. At zero temperature our results establish the existence of four phases in the three-dimensional space (U, n, h) – n is the filling – with relative phase transitions, as well as different types of charge ordering. The magnetic field may dramatically affect the behavior of thermodynamic quantities, inducing, for instance, magnetization plateaus in the magnetization curves, and a change from a single to a double-peak tructure in the specific heat. According to the value of the particle density, we find one or two critical fields, marking the beginning of full or partial polarization. A detailed study of several thermodynamic quantities is also presented at finite temperature.     

Semiconductor concentric double rings in a magnetic field

We report a theoretical study on the magnetooptical properties of recently synthesized concentric quantum double rings, as a function of the inner-outer ring coupling. The transition from a single to a double ring, as it is reflected in the the changes of the Aharonov-Bohm oscillation periods of the energy levels, is shown. It is found that, even when the system can be described as a single quantum ring with a small cleft, the electron energy levels show two different Aharonov-Bohm oscillation periods, which indicate that the carriers are localized in either the inner or the outer ring. For most distances between the rings, the electron and hole energy levels show almost identical Aharonov-Bohm oscillation periods. However, there is a short distances range in which they do not localize in the same ring, showing very different periods. In this region, the exciton ground state becomes dark.     

Theoretical analysis of the gate capacitance inn-channel inversion layers on ternary chalcopyrite semiconductors in the presence of a quantizing magnetic field

An attempt is made to study theoretically, the dependence of the gate capacitance inn-channel inversion larges on ternary chalcopyrite semiconductors on a quantizing magnetic field, takingn-channel inversion layers on CdGeAs₂ as an example. It is found, on the basis of a newly derived electron energy spectrum of the above class of semiconductors, that the gate capacitance exhibits spiky oscillations with changing magnetic field and the oscillatory behaviour is in qualitative agreement with the experimental observation reported in the literature for the MOS structure of Hg_1–x Cd _x Te.     

Transport through a double barrier for interacting quasi one-dimensional electrons in a quantum wire in the presence of a transverse magnetic field

We discuss the Luttinger liquid behaviour of a semiconducting quantum wire. We show that the measured value of the bulk critical exponent, α_bulk, for the tunneling density of states can be easily calculated. Then, the problem of the transport through a quantum dot formed by two quantum point contacts along the quantum wire, weakly coupled to spinless Tomonaga-Luttinger liquids is studied, including the action of a strong transverse magnetic field B. The known magnetic dependent peaks of the conductance, G(B), in the ballistic regime at a very low temperature, T, have to be reflected also in the transport at higher T and in different regimes. The temperature dependence of the maximum G_max of the conductance peak, according to the Correlated Sequential Tunneling theory, yields the power law G_max∝T^{2α end-1}, with the critical exponent, α_end, strongly reduced by B. This behaviour suggests the use of a similar device as a magnetic field modulated transistor.     

Dirac equation in the presence of a spatially periodic magnetic field

In the present article we separate variables in the Dirac equation in the presence of a spatially periodic magnetic field. We reduce the problem to solving a coupled system of first order differential equations. We show that the solution recently reported by Sen Gupta [7] is not correct.     

Binary black hole in a double magnetic monopole field

Ambient magnetic fields are thought to play a critical role in black hole jet formation. Furthermore, dual electromagnetic signals could be produced during the inspiral and merger of binary black hole systems. In this paper, we derive the exact solution for the electromagnetic field occurring when a static, axisymmetric binary black hole system is placed in the field of two magnetic or electric monopoles. As a by-product of this derivation, we also find the exact solution of the binary black hole configuration in a magnetic or electric dipole field. The presence of conical singularities in the static black hole binaries represent the gravitational attraction between the black holes that also drag the external two monopole field. We show that these off-balance configurations generate no energy outflows.     

Confinement in a double barrier structure in the presence of an electric field

The effect of an electric field on the electron resonant tunnelling into a double barrier structure is studied. We show for particular field strengths an increase of the tunnelling time which helps us to explain the Stark-ladder localization and to discuss Bloch oscillations and the quenching of luminescence in multiple quantum wells.     

含有磁性杂质双AB环的自旋极化输运

我们研究了由电子通过含有磁性杂质双AB环结构的透射系数来表示的AB干涉振荡。在这里磁性杂质提供了自旋翻转机制。磁性杂质可以导致AB干涉的部分退相干。而且我们发现在磁通反向的情况下自旋向上和向下的透射系数关于磁通是不对称的，但反射系数和总的透射系数关于磁通却是对称的     

Strong bonding magnetic plasmon hybridizations in double split-ring resonators

The complex magnetic dipole plasmon couplings in double split-ring resonators are investigated. Two split peaks in the absorption spectrum of these coupled systems are observed, but even the shorter-wavelength resonance peak can be redshifted compared to the peaks of individual rings. The magnetic plasmon fields outside rings are found to play an important role in these strong couplings. Because of them, both bonding and antibonding plasmon hybridizations occur at each split peak. When bonding coupling effects are stronger than those of antibonding ones, this abnormal splitting behavior appears. When the coupling between rings becomes weaker, the splitting phenomenon tends to be normal.     

Plasmons in double quantum wells in a parallel magnetic field

Collective intraband charge-density excitations in the quasi-two-dimensional electron system of double GaAs/AlGaAs quantum wells in an external parallel magnetic field B_∥ are studied by inelastic light scattering. It has been found that the energy of the excitations under study (acoustic and optical plasmons) exhibits anisotropy depending on the mutual orientation of B_∥ and the excitation quasi-momentum k. It is shown theoretically that, in a strong parallel magnetic field, the effects associated with the finite width of the quantum wells dominate over the effects associated with interlayer tunneling and determine the anisotropy of plasmons. The experimental data are compared with a theoretical calculation.     

Hydrogen recombination in the early Universe in the presence of a magnetic field

Hydrogen recombination in the earlyUniverse in the presence of amagnetic field is studied. An equation for the recombination temperature in the presence of a magnetic field is obtained. The limiting cases of weak and strong magnetic fields are examined. A critical field above which the system being considered is in the atomic-hydrogen phase at any temperature is shown to exist. The relative shift of the recombination temperature in a magnetic field is estimated, and it is shown that this shift is small.     

Neutron star in the presence of strong magnetic field

Compact stars such as neutron stars (NS) can have either hadronic or exotic states like strange quark or colour superconducting matter. Stars can also have a quark core surrounded by hadronic matter, known as hybrid stars (HS). The HS is likely to have a mixed phase in between the hadron and the quark phases. Observational results suggest huge surface magnetic field in certain NS. Therefore, we study here the effect of strong magnetic field on the respective equation of states (EOS) of matter under extreme conditions. We further study the hadron–quark phase transition in the interiors of NS giving rise to HS in the presence of strong magnetic field. The hadronic matter EOS is described based on RMF theory and we include the effects of strong magnetic fields leading to Landau quantization of the charged particles. For quark phase, we use the simple Massachusetts Institute of Technology (MIT) bag model, assuming density-dependent bag pressure and magnetic field. The magnetic field strength increases from the surface to the centre of the star. We construct the intermediate mixed phase using Glendenning conjecture. The magnetic field softens the EOS of both the matter phases. We finally study, the mass–radius relationship for such types of mixed HS, calculating their maximum mass, and compare them with the recent observations of pulsar PSR J1614-2230, which is about 2 solarmass.     

Particle-in-cell simulation of the stopping power in the presence of a magnetic field

In the last years electron cooling has become a well established method to reduce the phase space volume of ion beams in storage rings. We use a Particle-In-Cell (PIC) simulation to study the interaction between the ion beam and the electron plasma in the cooler. We investigate the energy loss of heavy, highly charged ions in magnetized electron plasmas and focus on the influence of the magnetic field. This revised version was published online in July 2006 with corrections to the Cover Date.     

Pairing in one-dimensional antiferromagnetic superconductors in the presence of a homogeneous magnetic field

Assuming a one-dimensional like electron band and considering the free energy difference δF(= F_s?F_N) near the second order phase transition temperature, it is shown that for an antiferromagnetic superconductor in a homogeneous magnetic field (howsoever weak) the minimum of δF occurs when the state with spatially varying order parameter (having same period as the antiferromagnetic ordering) coexists with the usual BCS state.