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arxiv: 2401.13847 · v1 · pith:CUOFJKKY · submitted 2024-01-24 · cond-mat.str-el · cond-mat.mtrl-sci

Quantum weight

Yugo Onishi , Liang Fu This is my paper

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classification cond-mat.str-el cond-mat.mtrl-sci
keywords quantumweightboundopticalpropertyaboveabsorptionbuilding
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We introduce the concept of quantum weight as a fundamental property of insulating states of matter that is encoded in the ground-state static structure and measures quantum fluctuation in electrons' center of mass. We find a sum rule that directly relates quantum weight -- a ground state property -- with the negative-first moment of the optical conductivity above the gap frequency. Building on this connection to optical absorption, we derive both an upper bound and a lower bound on quantum weight in terms of electron density, dielectric constant, and energy gap. Therefore, quantum weight constitutes a key material parameter that can be experimentally determined from X-ray scattering.

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