Supercurrent and Electromotive force generations by the Berry connection from many-body wave functions

TL;DR

This paper explains supercurrent and electromotive force generation through the Berry connection derived from many-body wave functions, linking quantum geometric phases to electromagnetic phenomena and demonstrating their effects in cuprate superconductors.

Contribution

It introduces a novel framework connecting Berry connection to supercurrent and EMF generation, extending understanding beyond traditional electromagnetic origins.

Findings

Berry connection explains supercurrent generation.

Electromotive force can originate from quantum geometric phases.

Model calculations show EMF effects in cuprate superconductors.

Abstract

The velocity field composed of the electromagnetic field vector potential and the Berry connection from many-body wave functions explains supercurrent generation, Faraday's law for the electromotive force (EMF) generation, and other EMF generations whose origins are not electromagnetism. An example calculation for the EMF from the Berry connection is performed using a model for the cuprate superconductivity.