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research#physics🔬 ResearchAnalyzed: Jan 4, 2026 06:48

Evidence for rare-region physics in the structural and electronic degrees of freedom of the nickelate La$_{2-x}$Sr$_x$NiO$_4$

Published:Dec 29, 2025 18:07
1 min read
ArXiv

Analysis

This article reports on research into the nickelate La$_{2-x}$Sr$_x$NiO$_4$, exploring its structural and electronic properties. The focus is on identifying evidence of 'rare-region physics,' suggesting the presence of unusual or less-understood physical phenomena within the material. The source is ArXiv, indicating a pre-print or research paper.

Key Takeaways

    Reference

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    PermalinkArXiv
    Research Paper#Statistical Physics, Integrable Systems, Stochastic Growth Models🔬 ResearchAnalyzed: Jan 3, 2026 16:25

    Stochastic Six Vertex Model and Discrete Orthogonal Polynomials

    Published:Dec 27, 2025 10:13
    1 min read
    ArXiv

    Analysis

    This paper investigates the behavior of the stochastic six-vertex model, a model in the KPZ universality class, focusing on moderate deviation scales. It uses discrete orthogonal polynomial ensembles (dOPEs) and the Riemann-Hilbert Problem (RHP) approach to derive asymptotic estimates for multiplicative statistics, ultimately providing moderate deviation estimates for the height function in the six-vertex model. The work is significant because it addresses a less-understood aspect of KPZ models (moderate deviations) and provides sharp estimates.
    Reference

    “The paper derives moderate deviation estimates for the height function in both the upper and lower tail regimes, with sharp exponents and constants.”

    PermalinkArXiv