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Experimental realization of antiferromagnetic Ising ground state on the triangular lattice

Ke Wang1,*, Xing-Jian Liu1,*, Li-Ming Tu1, Jia-Jie Zhang1, Vladimir N. Gladilin2, and Jun-Yi Ge1,3,†

  • 1Materials Genome Institute, Shanghai University, Shanghai 200444, China
  • 2Theory of Quantum and Complex Systems, Universiteit Antwerpen, Antwerpen B-2610, Belgium
  • 3Department of Physics and Shanghai Key Laboratary of High Temperature Superconductors, Shanghai University, Shanghai 200444, China

  • *These authors contributed equally to this work.
  • †Contact author: junyi_ge@t.shu.edu.cn

Phys. Rev. B 111, 224418 – Published 18 June, 2025

DOI: https://doi.org/10.1103/syny-gvt3

Abstract

The antiferromagnetic Ising model on a triangular lattice (AFIT) serves as a paradigmatic example of frustration, stemming from its geometry that precludes simultaneous satisfaction of all interactions. Here, we present an experimental platform to investigate AFIT by utilizing magnets arranged in vertical cavities of a triangular lattice, which stabilize at either the bottom or top of the cavity, mimicking the bistability of Ising spins. The strong magnet interactions and the unique growth process allow the frustrated behavior and its ground state configurations to be directly observed. An effective thermalization process is developed to reduce metastable energy barriers via external perturbations, facilitating evolution toward the ground state dominated by dipolar interactions. Theoretical simulations are performed to reveal the evolution of various magnetic states under effective thermal fluctuations, which are remarkably consistent with experimental results. Our system offers a unique approach to studying frustrated systems and paves the way for future research in complex geometries.

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