Slow Relaxation of Spin Structure in Exotic Ferromagnetic Phase of Ising-like Heisenberg Kagome Antiferromagnets
Shu Tanaka, Seiji Miyashita

TL;DR
This paper investigates slow relaxation phenomena in the exotic ferromagnetic phase of Ising-like Heisenberg kagome antiferromagnets, focusing on entropy-driven ordering and the role of macroscopic degeneracy.
Contribution
It introduces a detailed analysis of slow relaxation dynamics linked to entropy-driven ordering in a frustrated magnetic system with macroscopic degeneracy.
Findings
Identification of slow relaxation behavior in the ferromagnetic phase
Correlation between entropy-driven ordering and relaxation times
Role of weathervane loops in the ordering process
Abstract
In the corner-sharing lattice, magnetic frustration causes macroscopic degeneracy in the ground state, which prevents systems from ordering. However, if the ensemble of the degenerate configuration has some global structure, the system can have a symmetry breaking phenomenon and thus posses a finite temperature phase transition. As a typical example of such cases, the magnetic phase transition of the Ising-like Heisenberg antiferromagnetic model on the kagome lattice has been studied. There, a phase transition of the two-dimensional ferromagnetic Ising universality class occurs accompanying with the uniform spontaneous magnetization. Because of the macroscopic degeneracy in the ordered phase, the system is found to show an entropy-driven ordering process, which is quantitatively characterized by the number of ``weathervane loop''. We investigate this novel type of slow relaxation in…
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