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We provide a self-contained account of the B vs. H constitutive relation near H c1 in Type II superconductors with various types of quenched random disorder. The traditional Abrikosov result, B∼[ln(H−H c1 )] −2 , valid in the absence of disorder and thermal fluctuations, changes significantly in the presence of disorder. Moreover, the constitutive relations will depend strongly...
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