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Criticality in one-dimensional field theories with mesoscopic, infinite-range interactions
Kurt Langfeld1, Amanda Turner2
1Western Sydney University, School of Computer, Data and Mathematical Sciences, Penrith, New South Wales 2751, Australia.
This study reveals how infinite-range interactions in one-dimensional theories arise from mesoscopic feedback. This framework explains phase transitions and criticality, relevant for room-temperature spintronics.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Theoretical Physics
Background:
- One-dimensional theories with infinite interaction ranges are not well understood.
- Mesoscopic phenomena can influence macroscopic properties through feedback mechanisms.
- Understanding emergent phenomena is crucial for developing new materials and technologies.
Purpose of the Study:
- To investigate a class of one-dimensional theories with infinite interaction ranges.
- To propose a mesoscopic feedback mechanism for the natural emergence of these theories.
- To explore the implications for phase transitions, criticality, and universality classes.
Main Methods:
- Examination of Ising-type models.
- Analysis of a model with continuous O(3) symmetry.
- Theoretical framework development based on mesoscopic feedback.
Main Results:
- Demonstration of the natural emergence of phase transitions and criticality.
- Observation of spontaneous symmetry breaking.
- Identification of previously unrecognized universality classes.
- Validation of the mesoscopic feedback mechanism.
Conclusions:
- The proposed mesoscopic feedback mechanism provides a natural origin for infinite-range interactions in 1D theories.
- The framework successfully explains emergent phenomena like phase transitions and criticality.
- This research offers a novel perspective for monolayer spintronics, aiming for room-temperature ferromagnetic order.
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