Quantum Geometric Origin of Orbital Magnetization

TL;DR

This paper discusses how quantum geometry, involving Berry curvature and quantum metric, provides new insights into the understanding of orbital magnetization within a single-particle framework, advancing magnetic phenomena research.

Contribution

It introduces the geometric origin of orbital magnetization and explores quantum geometry's role in kinetic magnetization, offering new theoretical perspectives.

Findings

Quantum geometry underpins the equilibrium magnetization.

Quantum geometry influences kinetic magnetization.

Future directions for quantum geometric magnetization are outlined.

Abstract

The exploration of the Riemannian structure of the Hilbert space has led to the concept of quantum geometry, comprising geometric quantities exemplified by Berry curvature and quantum metric. While this framework has profoundly advanced the understanding of various electronic phenomena, its potential for illuminating magnetic phenomena has remained less explored. In this Perspective, we highlight how quantum geometry paves a new way for understanding magnetization within a single-particle framework. We first elucidate the geometric origin of equilibrium magnetization in the modern theory of magnetization, then discuss the role of quantum geometry in kinetic magnetization, and finally outline promising future directions at the frontier of quantum geometric magnetization.