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Magnetic phase transitions driven by quantum geometry

Chang-geun Oh1,*, Taisei Kitamura2,3,4, Akito Daido2, Jun-Won Rhim5, and Youichi Yanase2

  • *Contact author: cg.oh.0404@gmail.com
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Phys. Rev. Research 8, 023096 – Published 30 April, 2026

DOI: https://doi.org/10.1103/5fks-rrvg

Abstract

We explore how the quantum geometric properties of the Bloch wave function, characterized by the Hilbert-Schmidt quantum distance, impact magnetic phases in solid-state systems. To this end, we investigate the spin susceptibility within the random phase approximation, considering the on-site Coulomb interaction. We demonstrate that spin susceptibility can be decomposed into a trivial part, dependent solely on the band dispersion, and a geometric part, where the quantum distance plays a crucial role. Focusing on a model of a quadratic band-touching semimetal, we show that a magnetic phase transition between ferromagnetic and antiferromagnetic orders can be induced solely by tuning the wave function geometry, even while the energy spectrum is held constant. This highlights the versatility of quantum geometry as a mechanism for tuning magnetic properties independent of the energy spectrum. Applying our framework to the Fe pnictide and kagome lattice models, we further show that the geometric contribution is decisive in stabilizing their known antiferromagnetic and ferromagnetic states, respectively. Our work sheds light on the hidden quantum geometric aspects necessary for understanding and engineering magnetic order in quantum materials.

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Phys. Rev. Research 8, 023096– Published 30 April, 2026
  • Received 24 September 2025
  • Accepted 26 February 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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