Dynamical Properties of One-Dimensional Multicomponent Quantum Liquids in Metallic Phase

TL;DR

This paper studies the low-energy dynamical behavior of one-dimensional multicomponent quantum liquids with short-range and long-range interactions, revealing how degeneracy, band splitting, and long-range forces influence their response functions.

Contribution

It provides a detailed analysis of how orbital degeneracy, band splitting, and long-range interactions affect dynamical response functions in 1D quantum liquids using bosonization.

Findings

Long-range interactions suppress charge fluctuations.

Long-range interactions enhance spin fluctuations.

Orbital degeneracy and band splitting significantly influence dynamical responses.

Abstract

We investigate low-energy dynamical properties of one-dimensional multicomponent quantum liquids with the short-range interaction as well as the $1/x$-type long-range interaction. By calculating the single-particle spectrum and the dynamical spin susceptibility by means of the bosonization method, we discuss how the orbital degeneracy and the band splitting affect the dynamical response functions. The effect of the long-range interaction is also addressed. Although the long-range interaction suppresses charge fluctuations, it effectively enhances spin fluctuations via the formation of the Wigner crystal.