Quantum Geometry and the Hidden Scales in Materials
arXiv:2504.07173 · doi:10.1038/s42254-026-00923-y
Abstract
Electronic properties of quantum materials solids are often well understood via the low energy dispersion of Bloch bands, motivating single band approximations in many metals and semiconductors. However, a closer look reveals length and time scales introduced by quantum dipole fluctuations due to interband mixing, which are reflected in the momentum space textures of the electronic wavefunctions. This structure is usually referred to as quantum geometry. These new scales not only qualitatively modify the linear and nonlinear responses of a material but can also have a vital role in determining the many-body ground state at low temperatures. In this Perspective, we explore how quantum geometry impacts properties of materials and outline recent experimental advances that have begun to explore quantum geometric effects in various condensed matter platforms. We discuss the separation of scales that can allow us to estimate the significance of quantum geometry in various response functions.
Final version of the article
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Cited by in corpus (6)
- Quantum Geometric Origin of the Intrinsic Nonlinear Hall Effect
- Electronic bounds in magnetic crystals
- Superconductivity and geometric superfluid weight of a tunable flat band system
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