Effect of Thermal Fluctuation on Spectral Function for the Tomonaga-Luttinger Model

TL;DR

This paper investigates how thermal fluctuations influence the spectral function of the Tomonaga-Luttinger model, revealing that increasing temperature causes multiple peaks to merge into a single peak due to charge and spin fluctuation interactions.

Contribution

It provides a detailed analysis of the temperature dependence of the spectral function in the Tomonaga-Luttinger model with forward scattering interactions.

Findings

Multiple peaks in the spectral function merge into a single peak at higher temperatures.

Charge and spin fluctuation peaks vary significantly with temperature.

Spectral weight distribution changes as a function of frequency at fixed wave number.

Abstract

We examine the spectral function of the single electron Green function at finite temperatures for the Tomonaga-Luttinger model which consists of the mutual interaction with only the forward scattering. The spectral weight, which is calculated as a function of the frequency with the fixed wave number, shows that several peaks originating in the excitation spectra of charge and spin fluctuations vary into a single peak by the increase of temperature.