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    Direct observation of emergent ice-rule dynamics in a vertex-frustrated dipolar Cyrrhus lattice

    Davis Crater1, Ryan Mueller1, Duncan Miertschin1, Scott Dhuey2, Kevin Hofhuis3, and Alan Farhan1,*

    • *Contact author: alan_farhan@baylor.edu

    Phys. Rev. Materials 9, 104410 – Published 16 October, 2025

    DOI: https://doi.org/10.1103/1sn2-36v7

    Abstract

    We introduce the Cyrrhus spin ice geometry, a variant of decimated square ice patterns that exhibits a form of magnetic frustration known as vertex frustration. Using synchrotron-based photoemission electron microscopy, we present a temperature-dependent study of magnetic moment fluctuations in this dipolar Cyrrhus lattice. The results confirm key signatures of vertex frustration marked by an elevated presence of energetically unfavorable moment configurations and a strong adherence to an emergent ice rule. Analyzing the observed dynamics within the framework of the Thirumalai-Mountain stress metric reveals near-zero values for the relaxation exponent, suggesting ergodicity-breaking dynamics.

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