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DOE OSTI · 3005152

Quantum geometry in quantum materials

Yu, Jiabin [University of Florida, Gainesville, FL (United States); Princeton University, NJ (United States)]·Bernevig, B. Andrei [Princeton University, NJ (United States); Donostia International Physics Center, Sebastian (Spain); IKERBASQUE, Basque Foundation for Science, Bilbao (Spain)]·Queiroz, Raquel [Columbia University, New York, NY (United States)]·Rossi, Enrico [College of William and Mary, Williamsburg, VA (United States)]·Törmä, Päivi [Aalto University School of Science (Finland)]·Yang, Bohm-Jung [Seoul National University (South Korea)]
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Abstract

Quantum geometry, characterized by the quantum geometric tensor, plays a central role in diverse physical phenomena in quantum materials. This pedagogical review introduces the concept and highlights its implications across multiple domains, including optical responses, Landau levels, fractional Chern insulators, superfluid weight, spin stiffness, exciton condensates, and electronphonon coupling. By integrating these topics, we emphasize the broad significance of quantum geometry in understanding emergent behaviors in quantum systems and conclude with an outlook on open questions and future directions.

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Condensed-matter physicsElectronic properties and materialsQuantum geometryTopological matter

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Yu, Jiabin [University of Florida, Gainesville, FL (United States); Princeton University, NJ (United States)], Bernevig, B. Andrei [Princeton University, NJ (United States); Donostia International Physics Center, Sebastian (Spain); IKERBASQUE, Basque Foundation for Science, Bilbao (Spain)], Queiroz, Raquel [Columbia University, New York, NY (United States)], Rossi, Enrico [College of William and Mary, Williamsburg, VA (United States)], Törmä, Päivi [Aalto University School of Science (Finland)], Yang, Bohm-Jung [Seoul National University (South Korea)]. 2025-10-10. Quantum geometry in quantum materials. https://doi.org/10.1038/s41535-025-00801-3

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