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arXiv · 2412.07117

Mobility Crossover in Two-Dimensional Berry Crystals

Zixuan Chai·Si-Yuan Chen·Chenzheng Yu·Anton M. Graf·Eric J. Heller·Joonas Keski-Rahkonen
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Abstract

Anderson localization is commonly regarded as a generic fate of wave propagation in disordered media, yet underlying spatial correlations can profoundly reshape this picture. Here we introduce a class of two-dimensional correlated potentials generated by random superpositions of plane waves with fixed wavevector magnitude. Despite their simplicity, these \emph{Berry crystals} arise across a wide range of physical settings and realize a distinct, largely unexplored regime between uncorrelated disorder and quasicrystalline order. In stark contrast to the standard Anderson scenario, this localization transition is not governed by a sharp mobility edge but by an extended regime of critical, multifractal states that mediates an inverted passage from extended to localized behavior. We develop a quantitative framework for this mobility crossover by mapping the system onto an effective Anderson model on a Bethe lattice. More broadly, our results establish Berry crystals as a versatile platform for exploring correlation-driven mobility crossovers and the impact of spatial structure of disorder on Anderson localization..

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Zixuan Chai, Si-Yuan Chen, Chenzheng Yu, Anton M. Graf, Eric J. Heller, Joonas Keski-Rahkonen. 2026-09-19. Mobility Crossover in Two-Dimensional Berry Crystals. https://arxiv.org/abs/2412.07117

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