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    Disorder-driven quantum phase transitions in two-dimensional altermagnets: Emergence of a marginal metal phase

    Longhai Zeng1, Weiyi Wang2, Zhiwei Jiao1, Manyu Shang1,*, and Weiwei Chen3,†

    • *Contact author: shmy25@cjlu.edu.cn
    • †Contact author: chenweiwei@hfut.edu.cn

    Phys. Rev. B 112, 054204 – Published 28 August, 2025

    DOI: https://doi.org/10.1103/sw4z-f5fl

    Abstract

    We study localization properties in disordered two-dimensional altermagnets, an emerging class of material s characterized by momentum-dependent alternating spin polarization and zero net magnetization, in the presence of Rashba spin-orbit coupling. Through large-scale numerical calculations of localization length and finite-size conductance, we map out the phase diagram and identify two distinct disorder-driven transitions: a diffusive metal-insulator transition and a marginal metal-insulator transition. Finite-size scaling analysis reveals that the critical behavior of the diffusive metal-insulator transition deviates from the conventional Anderson scenario, with the critical exponent showing strong sensitivity to the strength of the altermagnetic interaction. Meanwhile, the marginal metal-insulator transition exhibits key signatures of the Berezinskii-Kosterlitz-Thouless (BKT) universality class. Our results highlight the interplay of disorder, spin-orbit coupling, and spin-dependent band topology in altermagnets, and demonstrate that these materials are a promising platform for exploring unconventional quantum phase transitions without net magnetization or an anomalous Hall effect.

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