Berry connection from many-body wave functions and superconductivity: Calculations by the particle number conserving Bogoliubov-de Gennes equations

Abstract

A fundamentally revised version of superconductivity theory has been put forward by the present authors since the standard theory of superconductivity based on the BCS theory cannot explain superconductivity in cuprates discovered in 1986, and reexaminations on several experimental results on the conventional superconductors indicate the necessity for a fundamental revision. The revision is made on the origin of the superconducting phase variable, which is attributed to a Berry connection arising from many-body wave functions. With this revision, the theory can be cast into a particle number conserving formalism. We have developed a method to calculate superconducting states with the Berry connection using the particle number conserving version of the Bogoliubov-de Gennes equations. An example calculation is made for a model originally built for cuprate superconductors.

References in corpus (8)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Quantum Magnetic Excitations from Stripes in Copper-Oxide Superconductors
• BCS theory of superconductivity: the world's largest Madoff scheme?
• Momentum of superconducting electrons and the explanation of the Meissner effect
• The London moment: what a rotating superconductor reveals about superconductivity
• Spin polarization in the Hubbard model with Rashba spin-orbit coupling on a ladder
• Entropy generation and momentum transfer in the superconductor-normal and normal-superconductor phase transformations and the consistency of the conventional theory of superconductivity
• Theory of Supercurrent in Superconductors