Abstract

The flux expulsion behavior at an intermediate field H ( H cl⪡ H⪡ H c2) was studied for type-II superconductors Nb 3 Sn, YBa 2 Cu 3 O 7, and Bi 2 Sr 2 CaCu 2 O 8. Based on a temperature-dependent critical-state model, magnetization as a function of tem ature, M( T), for the zero-field-cooled (ZFC) measurement was used to predict flux expulsion in the field-cooled (FC) measurement and to construct the internal flux profiles for both ZFC and FC at an applied field of 1T. The model includes empirical relations of the temperature dependence of the reversible magnetization, M r∼ (1− t 2), and the critical current density, J c ∼ (1− t) n , where t≡ T/ T c, at the given applied field. Various M( T) patterns are demonstrated by the exponent n, varying from 2 for Nb 3 Sn to over 20 for Bi 2 Sr 2 CaCu 2 O 8.

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