Electron-electron Bound States in Parity-Preserving QED3

TL;DR

This paper explores how a parity-preserving Planar Quantum Electrodynamics model with the Higgs mechanism can produce attractive electron-electron interactions, leading to potential bound states relevant for pairing mechanisms.

Contribution

It demonstrates the emergence of attractive e-e interactions in a parity-preserving QED3 framework and calculates binding energies, suggesting applications in systems with parity symmetry.

Findings

Attractive electron-electron potential can arise in the model.

Bound state energies are numerically computed.

Model may be relevant for pairing mechanisms in parity-preserving systems.

Abstract

By considering the Higgs mechanism in the framework of a parity-preserving Planar Quantum Electrodynamics, one shows that an attractive electron-electron interaction may come out. The e-e interaction potential emerges as the non-relativistic limit of the Moller scattering amplitude and it may result attractive with a suitable choice of parameters. Numerical values of the e-e binding energy are obtained by solving the two-dimensional Schrodinger equation. The existence of bound states is to be viewed as an indicative that this model may be adopted to address the pairing mechanism in some systems endowed with parity-preservation.