Alternative formalism to the slave particle mean field theory of the t-J model without deconfinement

TL;DR

This paper introduces an alternative formalism for the slave particle mean field theory of the t-J model that does not rely on deconfinement assumptions, using a spin-fermion model with a spinon field.

Contribution

It proposes a new formalism for the t-J model that avoids the deconfinement phase assumption, providing different superconducting states depending on the spinon representation.

Findings

Fermion spinon representation yields a d-wave superconducting state.

Boson spinon representation does not produce a d-wave superconducting state.

The formalism offers an alternative perspective to the slave particle approach.

Abstract

An alternative formalism that does not require the assumption of the deconfinement phase of a U(1) gauge field is proposed for the slave particle mean field theory. Starting form the spin-fermion model, a spinon field, which is either fermion or boson, is introduced to represent the localized spin moment. We find a d-wave superconductive state in the mean field theory in the case of the fermion representation of the localized spin moment that corresponds to the slave boson mean field theory of the t-J model, whereas the d-wave superconductive state is absent in case of the Schwinger boson representation of the localized spin moments.