Supercurrent Flow Through the Network of Spin-Vortices in Cuprates

We propose a novel supercurrent generation mechanism in the cuprate. The supercurrent is generated as a collection of the spin-vortex-induced loop currents created with the doped holes at their centers. A quartet of the spin-vortices with width 4a (a is the lattice constant of the CuO2 plane) is the stable unit of the spin-vortices, and an assembly of them creates a network channel for the supercurrent flow. A macroscopic supercurrent flows when they cover the whole CuO2 plane. The Ginzburg-Landau macroscopic wave function formalism is also derived from the present supercurrent generation mechanism.