ReviewNational science review2025
Quantum geometry in condensed matter.
Review in National science review, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
What it found
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
9 citing papers in PubMed.
- Ultrafast Switchable Polar and Magnetic Orders by Nonlinear Light-Matter Interaction.ACS nano · 2026Article
- Room-temperature ferroelectrically switchable quantum geometry in few-layer WTeNature communications · 2026Article
- Twisting graphene into correlation and topology.National science review · 2026Review
- Gate-tunable giant negative magnetoresistance in tellurene driven by quantum geometry.Nature communications · 2026Article
- Giant room-temperature third-order electrical transport in a thin-film altermagnet candidate.Nature nanotechnology · 2026Article
- Probing the quantum metric of 3D topological insulators.Nature materials · 2026Article
- Detecting complex-energy braiding topology in a dissipative atomic simulator with transformer-based geometric tomography.Nature communications · 2026Article
- Modulation of quantum geometry and its coupling to pseudo-electric field by dynamic strain.Nature communications · 2026Article
- A Clarification on Quantum-Metric-Induced Nonlinear Transport.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
One of the most celebrated accomplishments of modern physics is the description of fundamental principles of nature in the language of geometry. As the motion of celestial bodies is governed by the geometry of spacetime, the motion of electrons in condensed matter can be characterized by the geometry of the Hilbert space of their wave functions. Such quantum geometry, comprising Berry curvature and the quantum metric, can thus exert profound influences on various properties of materials. The dipoles of both Berry curvature and the quantum metric produce nonlinear transport. The quantum metric plays an important role in flat-band superconductors by enhancing the transition temperature. The uniformly distributed momentum-space quantum geometry stabilizes the fractional Chern insulators and results in the fractional quantum anomalous Hall effect. Here we review in detail quantum geometry in condensed matter, paying close attention to its effects on nonlinear transport, superconductivity and topological properties. Possible future research directions in this field are also envisaged.
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Registered trials
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