Existence of Fermion Zero Modes and Deconfinement of Spinons in Quantum Antiferromagnetism resulting from Algebraic Spin Liquid

TL;DR

This paper explores how fermion zero modes in algebraic spin liquids lead to deconfined spinons in quantum antiferromagnets, revealing a mechanism for spinon deconfinement tied to monopole-skyrmion configurations.

Contribution

It demonstrates that fermion zero modes prevent monopole condensation, enabling spinon deconfinement in quantum antiferromagnets derived from algebraic spin liquids.

Findings

Massive Dirac spinons produce a broad high-energy continuum.

Fermion zero modes in monopole-skyrmion potentials prevent monopole condensation.

Deconfinement of spinons occurs due to zero mode existence.

Abstract

We investigate the quantum antiferromagnetism arising from algebraic spin liquid via spontaneous chiral symmetry breaking. We claim that in the antiferromagnet massive Dirac spinons can appear to make broad continuum spectrum at high energies in inelastic neutron scattering. The mechanism of spinon deconfinement results from the existence of fermion zero modes in single monopole potentials. Neel vectors can make a skyrmion configuration around a magnetic monopole of compact U(1) gauge fields. Remarkably, in the monopole-skyrmion composite potential the Dirac fermion is shown to have a zero mode. The emergence of the fermion zero mode forbids the condensation of monopoles, resulting in deconfinement of Dirac spinons in the quantum antiferromagnet.