Charged vortices in superfluid systems with pairing of spatially separated carriers

TL;DR

This paper demonstrates that vortices in superfluid electron-hole systems under magnetic fields can carry real electrical charges, with the charge magnitude depending on the system's physical parameters.

Contribution

It reveals the conditions under which vortices in superfluid electron-hole systems acquire a quantifiable electrical charge, highlighting the dependence on magnetic length and Bohr radii.

Findings

Vortices in superfluid electron-hole systems can carry a real electrical charge.

The vortex charge depends on the relation between magnetic length and Bohr radii.

In certain conditions, the vortex charge reaches a universal value.

Abstract

It is shown that in a magnetic field the vortices in superfluid electron-hole systems carry a real electrical charge. The charge value depends on the relation between the magnetic length and the Bohr radiuses of electrons and holes. In double layer systems at equal electron and hole filling factors in the case of the electron and hole Bohr radiuses much larger than the magnetic length the vortex charge is equal to the universal value (electron charge times the filling factor).