"quasi-particles" in bosonization theory of interacting fermion liquids at arbitrary dimensions

TL;DR

This paper introduces a new definition of quasi-particles within bosonization theory applicable to interacting fermion liquids across all dimensions, reconciling Fermi liquid theory in higher dimensions and fractionalized excitations in one dimension.

Contribution

It provides a unified bosonization-based framework for quasi-particles in arbitrary dimensions, bridging Fermi liquids and non-perturbative fractionalized particles.

Findings

Quasi-particles in higher dimensions align with Landau Fermi liquid theory.

In one dimension, quasi-particles are fractionalized spinons and holons.

The approach extends to Fermi liquids with singular Landau interactions.

Abstract

Within bosonization theory we introduce in this paper a new definition of "quasi-particles" for interacting fermions at arbitrary space dimenions. In dimensions higher than one we show that the constructed quasi-particles are consistent with quasi-particle descriptions in Landau Fermi liquid theory whereas in one-dimension the quasi-particles" are non-perturbative objects (spinons and holons) obeying fractional statistics. The more general situation of Fermi liquids with singular Landau interaction is discussed.