Phonon interaction of electron in the translation-invariant strong-coupling theory

TL;DR

This paper investigates how phonon interactions depend on electron separation in a translation-invariant strong-coupling bipolaron, revealing that charge distribution differs from symmetry-breaking models, with implications for understanding electron-phonon coupling.

Contribution

It introduces a translation-invariant strong-coupling bipolaron model and analyzes phonon interactions without symmetry breaking, highlighting differences in charge distribution.

Findings

Phonon interaction depends on interelectronic distance.

Charge in TI-bipolaron exceeds that in symmetry-broken bipolaron.

Charge distribution is affected by translation invariance.

Abstract

A dependence of phonon interaction on the interelectronic distance is found for a translation-invariant (TI) strong-coupling bipolaron. It is shown that the charge induced by the electrons in a TI-bipolaron state is always greater than that in a bipolaron with spontaneously broken symmetry.