Low-energy electron-electron bound states in planar QED

TL;DR

This paper investigates electron-electron interactions in a planar QED model with spontaneous symmetry breaking, revealing conditions for bound state formation that could inform high-temperature superconductor research.

Contribution

It introduces a parity-preserving QED3 model with phi^6 potential and analyzes bound state formation in different coupling regimes.

Findings

Weak coupling: only s-wave bound states form.

Strong coupling: both s- and p-wave bound states form.

Potential applications to high-Tc superconductivity.

Abstract

In this talk, we present a parity-preserving QED3 model with spontaneous breaking of a local U(1)-symmetry. The breaking is accomplished by a potential of the phi^6-type. It is shown that a net attractive interaction appears in the Moeller scattering (s- and p-wave scatterings between two electrons) as mediated by the gauge field and a Higgs scalar. We show, by solving numerically the Schroedinger equation for both the scattering potentials (s- and p-wave), that in the weak-coupling regime only s-wave bound states appear, whereas in the strong-coupling regime s- and p-wave bound states show up. Also, we discuss possible applications of the model to the phenomenology of high-Tc superconductors and to the re-entrant superconductivity effect.