Interacting potential between spinons in the compact QED3 description of the Heisenberg model

TL;DR

This paper explores how a Chern-Simons term influences the interaction between spinons in a compact QED3 model of the 2D Heisenberg antiferromagnet, revealing a screening effect on magnetic fields without altering the confining potential.

Contribution

It introduces a Chern-Simons term into the compact QED3 framework, demonstrating its effect on magnetic field screening while preserving the spinon confinement potential.

Findings

Chern-Simons term induces magnetic field screening

Confining potential between spinons remains unchanged

Enforces single spin-1/2 site occupation via imaginary chemical potential

Abstract

We implement a Chern-Simons (CS) contribution into the compact QED3 description of the antiferromagnetic Heisenberg model in two dimensions at zero temperature. The CS term allows for the conservation of the SU(2) symmetry of the quantum spin system and fixes the flux through a plaquette to be a multiple of pi as was shown by Marston. We work out the string tension of the confining potential which acts between the spinons and show that the CS term induces a screening effect on the magnetic field only. The confining potential between spinons is not affected by the CS flux. The strict site-occupation by a single spin 1/2 is enforced by the introduction of an imaginary chemical potential constraint.