Non local Thirring model with spin flipping interactions

TL;DR

This paper extends a non-local Thirring model to include spin-flipping interactions, providing a bosonized partition function and a formula for spin-charge gap based on electron-electron potentials.

Contribution

It introduces a two-fermion-species model avoiding non-abelian bosonization, enabling analysis of spin-flipping interactions in a non-local Thirring framework.

Findings

Bosonized partition function for the extended model.

Derived a formula for the spin-charge gap.

Applicable to arbitrary electron-electron potentials.

Abstract

We extend a non local and non covariant version of the Thirring model in order to describe a many-body system with spin-flipping interactions By introducing a model with two fermion species we are able to avoid the use of non abelian bosonization which is needed in a previous approach. We obtain a bosonized expression for the partition function, describing the dynamics of the collective modes of this system. By using the self-consistent harmonic approximation we found a formula for the gap of the spin-charge excitations as functional of arbitrary electron-electron potentials.