Critical state in finite type-II superconducting rings

C. Navau; A. Sanchez; E. Pardo; D.-X. Chen; E. Bartolomé; X. Granados; T. Puig; X. Obradors

doi:10.1103/PhysRevB.71.214507

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Critical state in finite type-II superconducting rings

C. Navau, A. Sanchez, E. Pardo, D.-X. Chen, E. Bartolomé, X. Granados, T. Puig, X. Obradors

DOI 10.1103/PhysRevB.71.214507 · Physical Review B

T1

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Abstract

We study the magnetic behavior of a finite superconducting ring in the presence of a uniform applied field directed along its axis by means of the critical-state model and the minimization of magnetic energy. We systematically study the dependence of the magnetization and the ac susceptibility upon the geometry of the ring and develop an approximate analytical expression for the case of narrow rings of any aspect ratio. Besides, we show how the critical-current density of the superconductor can be obtained from magnetization measurements and conclude that ring geometry is a very convenient one for such a purpose. In particular, we present an expression for the full penetration field in the case of finite rings, which allows us to find the value of the critical current from the value of the magnetic field at just one point on the axis of the ring.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
Y1Ba2Cu3O7 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown