Comparing the orbital angular momentum and magnetic moment of magnon in the Kagome antiferromagnet with negative spin chirality

TL;DR

This paper compares the orbital magnetic moment and orbital angular momentum of magnons in a Kagome antiferromagnet, highlighting their differences and similar transport behaviors under magnetic fields.

Contribution

It provides a quantitative comparison between thermodynamic and wave-packet definitions of magnon orbital dynamics in a Kagome antiferromagnet.

Findings

Quantitative difference between OMM and OAM observed.

Similar temperature and field dependence of Nernst coefficients.

Provides insights into magnon orbital dynamics in magnetic insulators.

Abstract

The orbital dynamics of magnons have recently drawn interest due to their potential roles in thermal and orbital transport phenomena in magnetic insulators. In this study, we investigate the orbital magnetic moment (OMM) and orbital angular momentum (OAM) of magnons in a Kagome antiferromagnet with negative vector chirality, focusing on the distinction between thermodynamic and wave-packet-based definitions. We compute the Berry curvature, the OMM, and the OAM in momentum space under an external magnetic field. Our results reveal a quantitative difference between the OMM and OAM, yet their associated Nernst coefficients exhibit similar temperature and field dependence in transport. Our results provide a quantitative comparison between the thermodynamic and wave-packet formulations of magnon orbital dynamics.