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A fundamental revision of superconductivity theory that resolves thesupercurrent carrier mass contradiction (the standard theory predicts it to bethe effective mass but the London moment measurement indicates it to be thefree electron mass) is presented, using a generalized Hatree-Fock approximationthat takes into account a Berry connection from many-body wave functions.  The new theory explains the pairing energy gap formation accompanying thesuperconductivity transition in the same manner as the standard theory, yet,provides the free electron carrier mass in accordance with the London momentmeasurement.

Superconductivity by Berry connection from many-body wave functions: a generalized Hartree-Fock approximation