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absolute zero alloys applied field approximately assumed Bardeen BCS theory bolometer boundary energy calculated cavity cell Chapter circuit coil conduction electrons conductor constant control current critical current critical field critical temperature cryotron curl current density current flow curve cylinder dependence deposited devices diamagnetic effect electrical electromagnetic element energy gap Equation experimentally ferromagnetic filamentary superconductors film thickness flux penetration frequency gate current gate film gate resistance Ginzburg-Landau theory Hence hysteresis increase indium induced insulator internal field interphase boundary joule heating lattice lead film London equation London theory magnetic field maximum Meissner effect Newhouse niobium noise normal metal normal region obtain operating penetration depth persistent current phase transition Pippard plane pulse radiation reduced screening current shield shown in Figure solenoids storage Substituting substrate super superconducting superconducting film superelectrons surface field switching tantalum thermal conductivity thermal propagation tin film unshielded vacuum deposition velocity voltage width