Phonon Effects on Spin-Charge Separation in One Dimension

TL;DR

This paper investigates how phonons influence spin-charge separation in one-dimensional systems, showing that finite phonon frequency suppresses this separation and emphasizing the importance of electron-phonon interactions in interpreting experimental spectral data.

Contribution

It introduces a combined cluster perturbation and optimized phonon approach to analyze phonon effects on spin-charge separation in 1D systems.

Findings

Phonon retardation suppresses spin-charge separation.

Electron-phonon interaction is crucial for interpreting ARPES data.

Spectral functions show the invisibility of spin-charge separation with phonons.

Abstract

Phonon effects on spin-charge separation in one dimension are investigated through the calculation of one-electron spectral functions in terms of the recently developed cluster perturbation theory together with an optimized phonon approach. It is found that the retardation effect due to the finiteness of phonon frequency suppresses the spin-charge separation and eventually makes it invisible in the spectral function. By comparing our results with experimental data of TTF-TCNQ, it is observed that the electron-phonon interaction must be taken into account when interpreting the ARPES data.