Superconductivity near the Normal State in A Half-Plane under the Action of A Perpendicular Electric Current and an Induced Magnetic Field, Part II: The Large Conductivity Limit

2012 ◽  
Vol 44 (6) ◽  
pp. 3671-3733 ◽  
Author(s):  
Yaniv Almog ◽  
Bernard Helffer ◽  
Xing-Bin Pan
Keyword(s):  
Magnetic Field ◽  
Electric Current ◽  
Half Plane ◽  
Normal State ◽  
Induced Magnetic Field

Electrically driven cylindrical free shear flows under an axial uniform magnetic field

2021 ◽  
Vol 57 (2) ◽  
pp. 229-250
Keyword(s):  
Magnetic Field ◽  
Electric Current ◽  
Applied Field ◽  
Uniform Magnetic Field ◽  
Shear Flows ◽  
Hartmann Number ◽  
Induced Magnetic Field ◽  
Free Shear Layers ◽  
Moderate Magnetic Field ◽  
Almost All

We consider a mathematical model of two-dimensional electrically driven laminar axisymmetric circular free shear flows in a cylindrical vessel under the action of an applied axial uniform magnetic field. The mathematical approach is based on the studies by J.C.R. Hunt and W.E. Williams (J. Fluid. Mech., 31, 705, 1968). We solve a system of stationary partial differential equations with two unknown functions of velocity and induced magnetic field. The flows are generated as a result of the interaction of the electric current injected into the liquid and the applied field using one or two pairs of concentric annular electrodes located apart on the end walls. Two lateral free shear layers and two Hartmann layers on the end walls and a quasi-potential flow core between them emerge when the Hartmann number Ha >> 1. As a result, almost all injected current passes through these layers. Depending on the direction of the current injection, coinciding or two counter flows between the end walls are realized. The Hartmann number varies in a range from 2 to 300. When a moderate magnetic field (Ha = 50) is reached, the flow rate and the induced magnetic field flux cease to depend on the magnitude of the applied field but depend on the injected electric current value. Increasing magnetic field leads only to inner restructuring of the flows. Redistributions of velocities and induced magnetic fields, electric current density versus Hartmann number are analyzed. Figs 18, Refs 21.

STABLE hc/e VORTICES IN SUPERCONDUCTORS WITH SPIN-CHARGE SEPARATION

1992 ◽  
Vol 06 (05n06) ◽  
pp. 509-526
Author(s):  
Subir Sachdev
Keyword(s):  
Magnetic Field ◽  
Magnetic Flux ◽  
Normal State ◽  
Phenomenological Model ◽  
Charge Separation ◽  
Cuprate Superconductors ◽  
Superconducting Phase ◽  
Low Energy ◽  
Large N ◽  
Normal State Properties

A phenomenological model, F, of the superconducting phase of systems with spin-charge separation and antiferromagnetically induced pairing is studied. Above Hc1, magnetic flux can always pierce the superconductor in vortices with flux hc/2e, but regimes are found in which vortices with flux hc/e are preferred. Little-Park and other experiments, which examine periodicities with a varying magnetic field, always observe a period of hc/2e. The low energy properties of a symplectic large-N expansion of a model of the cuprate superconductors are argued to be well described by F. This analysis and some normal state properties of the cuprates suggest that hc/e vortices should be stable at the lowest dopings away from the insulating state at which superconductivity first occurs.

High magnetic-field evolution of the in-plane angular magnetoresistance of electron-doped Sr1−xLaxCuO2 in the normal state

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
V. P. Jovanović ◽  
H. Raffy ◽  
Z. Z. Li ◽  
G. Reményi ◽  
P. Monceau
Keyword(s):  
Magnetic Field ◽  
High Magnetic Field ◽  
Normal State ◽  
Field Evolution
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