# Electron-polaron--electron-polaron bound states in mass-gap graphene-like planar quantum electrodynamics: $s$-wave bipolarons

## TL;DR

This paper investigates the formation of bound states called bipolarons in a Lorentz-invariant, mass-gap graphene-like quantum electrodynamics model, highlighting attractive interactions leading to quasiparticle pairing.

## Contribution

It introduces a Lorentz-invariant model of mass-gap graphene-like QED$_3$ and demonstrates the existence of $s$-wave bipolarons due to attractive electron-polaron interactions.

## Key findings

- Attractive interactions in low-energy scattering favor bipolaron formation.
- The model predicts stable $s$-wave bipolarons in the system.
- Lorentz invariance is maintained in the mass-gap QED$_3$ framework.

## Abstract

A Lorentz invariant version of a mass-gap graphene-like planar quantum electrodynamics, the parity-preserving $U(1)\times U(1)$ massive QED$_3$, exhibits attractive interaction in low-energy electron-polaron--electron-polaron $s$-wave scattering, favoring quasiparticles bound states, the $s$-wave bipolarons.