Electron-electron attractive interaction in Maxwell-Chern-Simons QED3 at zero temperature

TL;DR

This paper investigates the possibility of electron-electron bound states in a Maxwell-Chern-Simons QED3 model at zero temperature, showing that the interaction potential can be attractive under specific parameter conditions.

Contribution

It demonstrates that in Maxwell-Chern-Simons QED3 with spontaneous symmetry breaking, the electron-electron scattering potential can be tuned to be attractive, suggesting bound state formation.

Findings

Potential for attractive electron-electron interaction identified

Bound states possible with parameter fine-tuning

Non-relativistic scattering analysis conducted

Abstract

One discusses the issue of low-energy electron-electron bound states in the Maxwell-Chern-Simons model coupled to QED3 with spontaneous breaking of a local U(1)-symmetry. The scattering potential, in the non-relativistic limit, steaming from the electron-electron Moller scattering, mediated by the Maxwell-Chern-Simons-Proca gauge field and the Higgs scalar, might be attractive by fine-tuning properly the physical parameters of the model.