Criticality in 1-dimensional field theories with mesoscopic, infinite range interactions

TL;DR

This paper introduces a new class of one-dimensional field theories with infinite-range interactions, revealing novel critical phenomena and universality classes relevant for spintronics applications.

Contribution

It proposes a framework for understanding criticality in 1D theories with mesoscopic feedback, highlighting emergent phase transitions and symmetry breaking.

Findings

Demonstrates phase transitions in models with infinite-range interactions.

Identifies new universality classes in 1D systems.

Relevance to room-temperature ferromagnetism in spintronics.

Abstract

This research investigates a novel class of one-dimensional theories characterised 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.