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Quantum weight

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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
classification cond-mat.str-el cond-mat.mtrl-sci
keywords quantumweightboundopticalpropertyaboveabsorptionbuilding
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 4 Pith papers

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  1. Higher Berry curvature, second Chern numbers and magnetoelectric coupling in crystalline insulators

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  2. Geometric curvature driven by many-body collective fluctuations

    cond-mat.str-el 2026-05 unverdicted novelty 6.0

    Collective fluctuations generate dynamical Berry curvature via non-commutative transverse quantum fluctuations and non-local-time interactions, distinguishable from bare band geometry in antisymmetric inelastic scatte...

  3. Geometric curvature driven by many-body collective fluctuations

    cond-mat.str-el 2026-05 conditional novelty 6.0

    Many-body collective fluctuations generate a dynamical Berry curvature that is invisible to optics but isolable in antisymmetric RIXS channels of P-T-symmetric systems.

  4. Optical Hall absorption sum rule and spectral compensation in time-reversal-breaking moir\'e and Hofstadter systems

    cond-mat.mes-hall 2026-04 unverdicted novelty 6.0

    A first-frequency-moment constraint on antisymmetric optical conductivity vanishes exactly in zero-field moiré continuum models and equals a magnetic-flux-determined constant in Hofstadter models, implying spectral co...