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Main Authors: Qiang, Xiao-Bin, Liu, Tianyu, Lu, Hai-Zhou, Xie, X. C.
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2601.04421
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author Qiang, Xiao-Bin
Liu, Tianyu
Lu, Hai-Zhou
Xie, X. C.
author_facet Qiang, Xiao-Bin
Liu, Tianyu
Lu, Hai-Zhou
Xie, X. C.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_04421
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quantum Geometric Origin of Orbital Magnetization
Qiang, Xiao-Bin
Liu, Tianyu
Lu, Hai-Zhou
Xie, X. C.
Mesoscale and Nanoscale Physics
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.
title Quantum Geometric Origin of Orbital Magnetization
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2601.04421