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    Unfolding Bloch States in Disordered Systems

    T. Thuy Hoang1,2, Kunihiro Yananose3, Sungjong Woo4,5, Seongjin Ahn1, Dong Han6, Xian-Bin Li7,*, and Junhyeok Bang1,2,†

    • *Contact author: lixianbin@jlu.edu.cn
    • †Contact author: jbang@cbnu.ac.kr

    Phys. Rev. Lett. 137, 096402 – Published 25 August, 2026

    DOI: https://doi.org/10.1103/z13d-t7p7

    Abstract

    In crystalline solids, disorder breaks translational symmetry and obscures k-resolved Bloch states, limiting an accurate description of wave-function-based observables. In this Letter, we present a method that unfolds not only the band structures but also the corresponding Bloch states in disordered systems, going beyond conventional band-unfolding techniques. As a prototype application, we study defective graphene and demonstrate the capabilities by capturing key wave-function-level responses, including disorder-driven redistribution of Berry curvature.

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