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The magnetization of ideal type-II superconductors without vortex pinning is derived from first principles for superconductors with constant thickness. This magnetization is irreversible due to a macroscopic geometric barrier for flux penetration at the edges, which yields a sharply defined entry field Hₑₙ. Above some reversibility field Hᵣₑᵥ>Hₑₙ the magnetization becomes reversible and coincides with that of an ideal ellipsoid.
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Ernst Helmut Brandt (1999) studied this question.
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