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

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