Spin-Charge Separated Luttinger Liquid in Arbitrary Spatial Dimensions

TL;DR

This paper introduces a model demonstrating spin-charge separation in arbitrary dimensions using bosonization, revealing new fermionic operators for holons and spinons with unique Green functions and thermal properties.

Contribution

It presents a novel bosonization-based model showing spin-charge separation in any spatial dimension, including explicit Green functions and new fermion operators for holons and spinons.

Findings

Spin-charge separation occurs in arbitrary dimensions.

Explicit single-electron Green function with square-root branch cut.

New fermion operators describe holons and spinons with pseudoparticle properties.

Abstract

A model with a singular forward scattering amplitude for particles with opposite spins in d spatial dimensions is proposed and solved by using the bosonization transformation. This interacting potential leads to the spin-charge separation. Thermal properties at low temperature for this Luttinger liquid are discussed. Also, the explicit form of the single-electron Green function is found; it has square-root branch cut. New fermion field operators are defined; they describe holons and spinons as the elementary excitations. Their single particle Green functions possess pseudoparticle properties. Using these operators the spin-charge separated Hamiltonian for an ideal gases of holons and spinons is derived and reflects an inverse (fermionization) transformation.