Fermi Surface Geometry from Charge Fluctuations in Three-Dimensional Metals
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866914564596039680 |
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| author | Tam, Pok Man Sheffer, Yarden Wu, Xiao-Chuan Haldane, F. D. M. Ryu, Shinsei |
| author_facet | Tam, Pok Man Sheffer, Yarden Wu, Xiao-Chuan Haldane, F. D. M. Ryu, Shinsei |
| contents | For three-dimensional non-interacting multi-band metals, we show that important information about the shape and the quantum geometry of Fermi surfaces is encoded in the subleading logarithmic term of bipartite charge fluctuations. This logarithmic term is related to the dimensionless $|\mathbf{q}|^3$-coefficient of the structure factor in momentum space, and both quantities can be expressed as Fermi surface integrals of the Fermi surface curvature tensor and the quantum metric tensor. When the real-space partition surface is a quadric (i.e., sphere or ellipsoid), the logarithmic coefficient satisfies a topological bound depending only on the Euler characteristic and the Chern number of the Fermi surface, illustrating a non-trivial interplay between topology and quantum topology in multi-band metals. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_13951 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fermi Surface Geometry from Charge Fluctuations in Three-Dimensional Metals Tam, Pok Man Sheffer, Yarden Wu, Xiao-Chuan Haldane, F. D. M. Ryu, Shinsei Mesoscale and Nanoscale Physics Quantum Gases Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics For three-dimensional non-interacting multi-band metals, we show that important information about the shape and the quantum geometry of Fermi surfaces is encoded in the subleading logarithmic term of bipartite charge fluctuations. This logarithmic term is related to the dimensionless $|\mathbf{q}|^3$-coefficient of the structure factor in momentum space, and both quantities can be expressed as Fermi surface integrals of the Fermi surface curvature tensor and the quantum metric tensor. When the real-space partition surface is a quadric (i.e., sphere or ellipsoid), the logarithmic coefficient satisfies a topological bound depending only on the Euler characteristic and the Chern number of the Fermi surface, illustrating a non-trivial interplay between topology and quantum topology in multi-band metals. |
| title | Fermi Surface Geometry from Charge Fluctuations in Three-Dimensional Metals |
| topic | Mesoscale and Nanoscale Physics Quantum Gases Strongly Correlated Electrons High Energy Physics - Theory Quantum Physics |
| url | https://arxiv.org/abs/2605.13951 |