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Meissner Effect

The expulsion of magnetic field lines from a material in the superconducting state, a fundamental property of superconductivity.
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The statement of the theorem

Let B(r)\mathbf{B}(\mathbf{r}) be the magnetic field and H(r)\mathbf{H}(\mathbf{r}) be the applied magnetic field in a superconductor. The Meissner effect dictates that the internal magnetic field Bint\mathbf{B}_{int} vanishes in the bulk material: \nBint(r)=0 for r∈Superconductor\mathbf{B}_{int}(\mathbf{r}) = 0 \text{ for } \mathbf{r} \in \text{Superconductor} \nThis implies that the magnetization M\mathbf{M} must satisfy M=−H\mathbf{M} = -\mathbf{H}, corresponding to a perfect diamagnetism, χ=−1\chi = -1.
Source: Wikipedia