Reevaluating Quantum Geometric Criteria for Itinerant Magnetic Instabilities

arXiv:2604.16782 · cond-mat.str-el · Submitted 2026-04-18 · Read on arXiv

cond-mat.str-el

Submitted: 2026-04-18

Updated: 2026-09-22

Terminology

• Decoupling — 13× in this paper · explained in 2 episodes
• Phase Transitions — 5× in this paper · explained in 2 episodes
• Altermagnets — 2× in this paper · explained in 1 episode
• Antiferromagnetism — 2× in this paper · explained in 1 episode
• Computational Tractability — 2× in this paper · explained in 2 episodes
• Degeneracy — 2× in this paper · explained in 3 episodes
• Hubbard Model — 2× in this paper · explained in 3 episodes
• Random Phase Approximation (RPA) — 2× in this paper · explained in 2 episodes
• Alignment — 1× in this paper · explained in 1 episode
• Berry Curvature — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes

Sources

• Quantum Geometry in Quantum Materials
• Quantum Geometry Phenomena in Condensed Matter Systems
• Quantum geometric bound for saturated ferromagnetism
• Quantum geometric ferromagnetism by singular saddle point
• Odd-parity magnetism by quantum geometry
• Magnetic phase transitions driven by quantum geometry
• Magnetic fluctuations driven by quantum geometry
• Ferromagnetism vs. Antiferromagnetism in Narrow-Band Systems: Competition Between Quantum Geometry and Band Dispersion
• Quantum-geometry-driven Mott transitions and magnetism
• Quantum-geometry-driven exact ferromagnetic ground state in a nearly flat band
• Symmetry, microscopy and spectroscopy signatures of altermagnetism
• Altermagnetic spintronics
• Breakdown of Stoner Ferromagnetism by Intrinsic Altermagnetism
• Van Hove singularity-induced multiple magnetic transitions in multi-orbital systems

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• Instabilities in self-consistent diagrammatic approaches and how to cure them
• True vs false Fermi surfaces in the Pseudogap regime and their transformation with doping and temperature in the Hubbard Model
• Orbital magnetic susceptibility and de Haas-van Alphen effect of a flat band from quantum geometry