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Criticality in one-dimensional field theories with mesoscopic, infinite-range interactions

Kurt Langfeld

Amanda Turner

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Phys. Rev. E 113, 024114 – Published 11 February, 2026

DOI: https://doi.org/10.1103/5mjz-d6tx

Abstract

This research investigates a class of one-dimensional theories characterized by a distinctly defined infinite interaction range. We propose that such theories emerge naturally through a mesoscopic feedback mechanism. In this proof-of-concept study, we examine Ising-type models and a model with continuous O(3) symmetry, and demonstrate that the natural emergence of phase transitions, criticality, spontaneous symmetry breaking and previously unidentified universality classes is evident. The framework introduced here holds particular relevance for monolayer spintronics research, where the ultimate goal is to achieve a strong ferromagnetic order at room temperature.

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Phys. Rev. E 113, 024114– Published 11 February, 2026
  • Received 13 August 2025
  • Accepted 23 December 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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