Related papers: Geometric bound on structure factor

Geometric bound on structure factor

URL: http://arxiv.org/abs/2412.02656v2
Date: Fri, 27 Dec 2024 17:16:46 GMT
Title: Geometric bound on structure factor
Authors: Yugo Onishi, Alexander Avdoshkin, Liang Fu,
Abstract summary: We show that quantum geometry sets a bound on the $q4$ term in the static structure factor $S(q)$. Bands that saturate this bound satisfy a form of Laplace's equation, leading us to refer to them as textitharmonic bands.
Score: 44.99833362998488
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Abstract: We show that quantum geometry sets a bound on the $q^4$ term in the static structure factor $S(q)$. Bands that saturate this bound satisfy a form of Laplace's equation, leading us to refer to them as \textit{harmonic bands}. We provide some examples of harmonic bands in one- and two-dimensional systems, including Landau levels.

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