Superconducting strip in an oblique magnetic field

Abstract

As an example for a seemingly simple but actually intricate problem, the Bean critical state is studied in a superconducting strip of finite thickness d and width 2w >> d placed in an oblique magnetic field. The analytical solution is obtained to leading order in the small parameter d/w. The critical state depends on how the applied magnetic field is switched on, e.g., at constant tilt angle, or first the perpendicular and then the parallel field component. For these two basic scenarios the distributions of current density and magnetic field are obtained in the critical states. In particular, we find the shapes of the flux-free core and of the lines separating regions with opposite direction of the critical currents, the detailed magnetic field lines (along the vortex lines), and both components of the magnetic moment. The component of the magnetic moment parallel to the strip plane is a nonmonotonic function of the applied magnetic field.

11 pages, 13 figures

References in corpus (3)

• Why an ac magnetic field shifts the irreversibility line in type-II superconductors
• Asymmetric Field Profile in Bose Glass Phase of Irradiated YBa2Cu3O7-d: Loss of Interlayer Coherence around 1/3 of Matching Field
• Irreversible magnetization under rotating fields and lock-in effect on ErBa_2Cu_3O_7 single crystal with columnar defects

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• "Unusual" critical states in type-II superconductors
• Remagnetization of bulk high-temperature superconductors subjected to crossed and rotating magnetic fields
• Anisotropic superconducting strip in an oblique magnetic field
• Critical state analysis of orthogonal flux interactions in pinned superconductors
• Asymmetry of magnetic-field profiles in superconducting strips
• Anisotropic critical-state model of type-II superconducting slabs
• AC losses in superconducting composite strips in a magnetic field in the form of a standing wave
• Magnetic measurement of the critical current anisotropy in coated conductors
• Determination of the London penetration depth with the tunnel diode oscillator technique
• Designing high-performance superconductors with nanoparticle inclusions: comparisons to strong pinning theory