Magnetic force microscopy signal of flux line above a semi-infinite type II-superconductor

We have examined a single flux line in the semi-infinite type-II superconductor. The stray magnetic field of the flux line has been calculated. We have found that the vertical force exerted on a magnetic force microscopy (MFM) tip from the flux line is measurable by currently existing MFM. Two types of magnetic tips were taken into consideration, solid and thin film tips. For example, with a Cobalt film of the thickness of 100 nm and 30 nm on a tip, we found a vertical force of 4*10^–10 N and 1.5*10^–10 N, respectively. The lateral force exerted on a tip by the flux line was also calculated. The lateral force must be small enough to prevent the flux line from becoming depinned.     

Evaluation of the states of a stepwise varying flux of events with incomplete observability

We examine a stepwise varying flux of events with an arbitrary number of states as a mathematical model of a real flux of elementary particles. The aposteriori probability of states of the stepwise varying flux is found with consideration of incomplete observability arising from the "dead time" effect. An algorithm for evaluation of the states of the stepwise varying flux is constructed. Results of a statistical experiment implemented with the model are presented. Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 22–30, April, 1998.     

Spectrum of a particle on a polyhedron enclosing a synthetic magnetic monopole

We consider a single particle hopping on a tight binding lattice formed by the vertices of a regular polyhedron and discuss the effect of a magnetic monopole enclosed in the polyhedron. The presence of the monopole induces phases on the hopping terms, given by Peierls substitution. By requiring the flux through each face of a regular polyhedron to be the same, Dirac’s quantization condition is obtained in this discrete setting. For each regular polyhedron, we calculate the energy spectrum for an arbitrary value of the flux through a Dirac string coming in from one of the faces. We find that the energy levels are degenerate only when the flux through the Dirac string corresponds to a quantized monopole. We show that the degeneracies in the presence of the monopole can be classified using the double group of the symmetry of the polyhedron and label all energy levels with corresponding irreducible representations.     

Depth distribution of vacancies generated by irradiating a solid surface with a flux of accelerated ions

Kinetic transport theory is used to find analytical expressions for the absorbed doses of the primary-particle flux and primary-particle energy as functions of distance into a solid with finite or semi-infinite thickness when the surface of the latter is irradiated by a flux of accelerated ions (atoms) in the direction normal to the surface. The theory was compared with experiments in which solid silicon films with thicknesses 50, 100, and 400 nm were irradiated by a flux of accelerated boron atoms with energies from 10 to 20 keV. These expressions were used to calculate the depth distribution of vacancies generated in a solid whose surface is irradiated by a flux of accelerated ions. The method developed can be used to determine the depth distribution of vacancies created by fluxes of accelerated electrons, neutrons, or photons. Zh. Tekh. Fiz. 68, 60–65 (April 1998)     

Characteristics of transmission of electrons in a quantum wire tangentially attached to a superconductor ring threaded by magnetic flux

We present numerical investigations of the transmission properties of electrons in a normal quantum wire tangentially attached to a superconductor ring threaded by magnetic flux. A point scatterer with a δ -function potential is placed at node to model scattering effect. We find that the transmission characteristics of electrons in this structure strongly depend on the normal or superconducting state of the ring. The transmission probability as a function of the energy of incident electrons, in the case of a superconductor ring threaded by one quantum magnetic flux, emerges one deep dip, imposed upon the first broad bump in spectrum. This intrinsic conductance dip originates from the superconductor state of the ring. When increasing the magnetic flux from one quantum magnetic flux to two, the spectrum shifts toward higher energy region in the whole. This conductance dip accordingly shifts and appears in the second bump. In the presence of a point-scatterer at the node, the spectrum is substantially modified. Based on the condition of the formation of the standing wave functions in the ring and the broken of the time-reserve symmetry of Schr?dinger equation after switching magnetic flux, the characteristics of transmission of electrons in this structure can be well understood. Received 6 November 2001     

Exact solutions to a time-dependent vacuum transport problem

We consider a point source of radiation emitting into an empty spherical volume with a well-defined boundary. This geometry represents, for example, an eruptive variable star at the center of a spherical-shell nebula. The nebula has a fixed albedo. For various time histories of the emission of the central star, we derive solutions for the time dependence of the flux falling on the nebular boundary. This flux has two components: the direct flux from the star and the diffuse flux reemitted by the boundary. Solutions generally involve combinations of hyperbolic sines and cosines and change character abruptly at multiples of t_c, the light-travel time across the nebula.     

Emergence and cancellation of small-scale magnetic flux in a quiet region

This paper studies the relationship between the development of granules and emergence (cancellation) of magnetic flux at small spatial scales (∼1″) in a quiet region taken with the spectro-polarimeter (SP) of the Solar Optical Telescope (SOT) aboard the Hinode satellite. By examining 6 granular cell events, we have uncovered that a granular structure develops in a regular shape with a size as large as 2–3″, while the granule is pure, i.e. no magnetic flux emerges in the granule during its development. However, a granular structure develops in an irregular shape while emerging flux accompanies the granular development. Magnetic flux cancellation takes place between new emerging flux and pre-existing one. The transverse magnetic field significantly appears at the place where a tiny bipole emerges and where two opposite polarities cancel each other, but only the transverse field of emerging bipole points from the positive element to the negative element. In some cases, violent Doppler blueshifts at the early emerging stage of the magnetic elements appear. We suggest that the excess of the blue-shifts in the inter-granular lanes are produced by the magnetic reconnection below the photosphere     

氢负离子在变形球面附近的光剥离

利用理论模型成像方法, 对氢负离子在变形球面附近的光剥离进行了研究. 首先, 推导出了光剥离电子通量的计算公式, 然后对电子通量分布和光剥离截面进行了计算.结果表明: 平面效应只在一定范围内对氢负离子的光剥离过程产生影响. 在距离z轴比较近的区域, 球面效应起主要作用, 电子通量分布和光剥离截面与只有球面存在的情况一致, 此时平面效应可以忽略; 距离z轴较远的区域, 平面效应和球面效应共同起作用, 此时变形球面对光剥离过程会产生比较大的影响. 当球面半径和氢负离子到球面之间的距离给定, 随着入射光子的能量增大, 光剥离电子通量的振幅先增大后减小, 然后又慢慢增大, 振荡频率增大.当固定球面与氢负离子之间的距离, 随着球面半径的增大, 光剥离电子的通量趋向于只存在球面的情况.因此, 可以通过改变入射光子能量和球面的半径对氢负离子的光剥离进行调控. 本文的结果对于研究负离子体系在曲面附近的光剥离及光剥离 显微问题的实验研究具有一定的参考价值. 关键词： 理论模型成像方法 光剥离电子通量 光剥离截面 变形球面     

Heat flux density in the region of droplet contact line on a horizontal surface of a thin heated foil

The evaporating water droplets on a horizontal heated substrate were experimentally studied. The constantan foil 25 μm thick with a size of 42×35 mm² was used as a substrate. The experiments were carried out with a single droplet or with an ensemble of two or three droplets on the foil. The temperature of the lower surface of foil was measured by an IR scanner. To determine the heat flux density at evaporation of liquid near the contact line, the Cauchy problem for the heat conduction equation was solved using the thermographic data. The results of calculations showed that the maximal heat flux density takes place in the region of the contact line and exceeds the average heat flux density from the entire surface of foil. This is explained by the heat inflow from the foil periphery to the droplet due to relatively high value of the coefficient of heat conductivity of the foil material and high evaporation intensity in the contact line region.     

用于射频超导量子干涉器的新型单CSRR磁通聚焦器和谐振器

文提出了一种新型磁通聚焦器和谐振器. 磁通聚焦器引入了单互补开环谐振器结构 (单CSRR); 谐振器则采用环绕着绕磁通聚焦器的发夹型3阶阶梯阻抗谐振器 (SIR). 采用ANSYS HFSSv.11高频结构仿真软件对提出的磁通聚焦器和谐振器进行了仿真, 并对单CSRR进行了理论分析. 仿真和理论分析表明: 单CSRR的引入, 提高了磁通聚焦器的聚磁效果, 改善了磁通聚焦器与RF SQUID垫圈的耦合(耦合系数k_sc为引入单CSRR前的2倍), 并且有效面积增大到1.227 mm².     

Diffusion of flux lines in a random potential

A liquid of flux lines in a random superconductor is considered. We find spontaneous breaking of a continous internal symmetry from averaging over the random potential. A corresponding Goldstone mode describes diffusion of the flux lines. The diffusion coefficient vanishes if we exceed a critical strength of randomness. This is accompanied by a divergent correlation length. An interpretation of the behavior is a freezing transition of the flux liquid into a glass-like state.     

A measurement method of the magnetic properties of magnetic sheet by means of a single sheet tester at audio frequency

A single sheet tester (SST) for audio frequency of 400 Hz–10 kHz was made experimentally and the magnetizing winding can get the nearly uniform distribution of flux density of a specimen in the longitudinal direction at the frequency up to 10 kHz. The flux densities at various positions of strips measured by the Epstein method were detected by search coils wound on strips at 400 Hz and 1.0 T. They have large discrepancy. However, the magnetic properties obtained from both methods have a little discrepancy. Although the uniformity of flux distribution in the Epstein frame is not sufficient, the average is fairly effective because the magnetic properties can be assumed to be locally linear within the small deviation of flux density.     

Mechanisms of dissipation in a Josephson medium based on a high-temperature superconductor in a magnetic field

This paper reports on the results of an investigation into the influence of magnetic fields (0–60 kOe) on the temperature dependences of the electrical resistance R(T) of the Y_3/4Lu_1/4Ba₂Cu₃O₇ + CuO composites. The structure of these composites is considered to be a network of tunnel-type Josephson junctions in which a nonsuperconducting component (CuO) forms boundaries (barriers) between high-temperature superconducting crystallites. The temperature dependence R(T) of the composites has two steps characteristic of granular superconductors: (i) an abrupt change in the electrical resistance at the critical temperature of high-temperature superconducting crystallites and (ii) a smooth transition to the superconducting state under the influence of the boundaries between the crystallites. The experimental dependences R(T) are analyzed within the Ambegaokar-Halperin model of thermal fluctuations in Josephson junctions and the flux creep model. An increase in the magnetic field leads to a crossover from the Ambegaokar-Halperin mechanism to the flux creep mechanism. The temperature dependences R(T) in the range of weak magnetic fields (from 0 to 10² Oe) are adequately described by the relationship following from the Ambegaokar-Halperin model. In the range of strong magnetic fields (from 10³ to 6 × 10⁴ Oe), the dissipation obeys the Arrhenius law R ～ exp(?U(H)/T)], which is characteristic of the flux creep model with a temperature-independent pinning energy U(H). The effective Josephson coupling energies and the pinning energies corresponding to the Ambegaokar-Halperin and flux creep mechanisms are determined.     

a.c. susceptibility of a YBCO single crystal in an extended frequency range interpreted by numerical solution of the continuity equation for the magnetic field

Summary a.c. susceptibility measurements on a YBCO single crystal in an extended range of frequency and applied magnetic fields are presented. The dissipation phenomena shown by these measurements are interpreted inside the framework of the thermally activated flux motion theory developed for low-temperature superconductors in early '60. For this purpose the continuity equation for the magnetic field inside the sample is solved numerically, avoiding to usea priori the standard approximations of this theory: thermally activated flux creep and thermally assisted flux flow. The whole set of a.c. susceptibility measurements, performed in a wide range of the parameters, can be fitted with good agreement between the experimental and theoretical data. In honour of Prof. Fausto Fumi on the occasion of his retirement from teaching.     

Interference of co-and counterpropagating waveguide modes in a planar structure

Interference between inhomogeneous waves in a planar waveguide placed in a perfectly conducting environment is studied. It is shown that the interference flux of copropagating waveguide TM modes behaves like counterpropagating homogeneous volume waves. The longitudinal and transverse components of the interference fluxes of co-and counterpropagating waves in the general case result from interference between both the active and reactive components of the field. The interference flux of waveguide modes may also be observed when the partial fluxes of the modes equal zero.     

立式低温容器真空丧失热分层现象数值模拟研究

对立式低温容器在真空丧失条件下的内部热分层现象进行了分析,采用双流体模型结合CFD求解器计算了立式低温容器内的流动及传热过程,考察了侧壁及底部热通量对液体热分层现象的影响。结果表明:侧壁热通量较底部热通量更易使容器内部产生热分层;容器内部形成的环流及其成长是导致热分层及温度突跳的根本原因。     

Flux quantization in a hollow superconducting cylinder with a solenoid inside a cavity

The behavior of a hollow superconducting cylinder with a long solenoid inside a cavity is considered within the framework of the Ginzburg-Landau theory. The general form is found of the thermodynamic potential of the system, which describes its behavior under the influence of the solenoid's field. It is shown that the magnetic field appears inside a cavity, when the solenoid's flux is not zero. The total flux in the system changes by jumps, due to the effect of flux quantization. The dependence of the superconducting order parameter on the solenoid's flux is found, the phase diagram of the superconducting states is analyzed. The hysteresis transitions in the system are investigated, as well as oscillations of the critical temperature and of the specific heat of the cylinder. The connection with the paper of G. Kunstatter, M. Revzen, and L. E. H. Trainor (Ann. Phys. (N.Y.)145 (1983), 329), where the corresponding problem was first touched upon, is discussed.     

Phase transition in a vortice lattice in a Bi2212:Pb single crystal

The magnetooptical method was used to investigate the penetration of a magnetic flux into a single crystal of a high-temperature superconductor (Bi_0.84Pb_0.16)_2.2Sr₂CaCu₂O₈ in crossed magnetic fields. It is shown that at low temperatures the penetration of the magnetic flux is anisotropic: the flux moves preferentially along the magnetic field applied in the plane of the sample, and the anisotropy grows as the temperature increases. At a temperature T_m = 54±2 K, there occurs a sharp change in the character of penetration of the magnetic field into the superconductor; the direction of the flux ceases be dependent on the direction and magnitude of the magnetic field applied in the plane of the sample. In this case, the transition temperature T_m is independent of the applied magnetic field. The effect is interpreted in terms of the concepts of a phase transition in the system of vortices, which is related to a sharp decrease in the correlations in the position of vortices in various CuO planes, i.e., with the transition from three-dimensional to two-dimensional behavior of the vortex structure.     

Femtoscopy within a hydrodynamic approach based on flux tube initial conditions

In pp scattering at LHC energies, large numbers of elementary scatterings will contribute significantly, and the corresponding high multiplicity events will be of particular interest. Elementary scatterings are parton ladders, identified with color flux tubes. In high multiplicity events, many of these flux tubes are produced in the same space region, creating high energy densities. We argue that there is good reason to employ the successful procedure used for heavy ion collisions: matter is assumed to thermalize quickly, so that the energy from the flux tubes can be taken as initial condition for a hydro-dynamic expansion. This scenario gets spectacular support from very recent results on Bose-Einstein correlations in pp scattering at 900 GeV at the LHC.     

Vortex structure in superconductors with a many-component order parameter

Abstract

The phenomenological theory of superconductors with a many-component order parameter (OP) is developed. On the basis of a generalized Ginzburg-Landau functional, equations for a two-component-OP superconductor are derived. It is shown that such a superconductor is specified by three length dimensionality parameters—penetration depth λ, correlation length ζ, and width d of the boundary between two superconducting-phase domains. With λ ? d ? ζ, the equations for the OP of a superconductor in a magnetic field can be explored analytically. The transition from the superconducting to the mixed phase may occur not only by the formation of ordinary Abrikosov vortices, but also owing to vortices that have two cores, each transferring a half-integral flux quantum. The total flux transferred by a vortex certainly constitutes an integral quantum. The cores of such a dimer are interconnected by two domain walls, which exercise confinement within the dimer. The distance between the cores in the dimer is of the order of d. Within a domain wall that separates two superconducting-phase domains, a dimer may fall apart into two vortices with a half-integral flux quantum.

For many-component-OP superconductors in a magnetic field, vortex structures of a more complicated nature than a dimer may occur. An individual core may transfer a fractional flux quantum, but the structure as a whole transfers an integral flux quantum. Confinement of individual cores occurs owing to a complicated system of domain walls determined by the topological charges of these vortices.

Under certain conditions, on attaining field H _c1, vortices may arise first in the domain walls, carrying a fractional flux quantum, and then within the superconducting domains.