# An ac field probe for the magnetic ordering of magnets with random anisotropy

## TL;DR

This study uses Monte Carlo simulations to explore magnetic ordering in magnets with random anisotropy, revealing different susceptibility behaviors and supporting the existence of quasi-long range order.

## Contribution

It demonstrates the thermodynamic nature of low-temperature peaks as a ferromagnetic-like transition to QLRO, linking simulations with experimental observations.

## Key findings

- Weak RA shows two peaks in ac susceptibility
- Strong RA shows only one peak
- Supports the existence of QLRO in such systems

## Abstract

A Monte Carlo simulation is carried out to investigate the magnetic ordering in magnets with random anisotropy (RA). Our results show peculiar similarities to recent experiments that the real part of ac susceptibility presents two peaks for weak RA and only one for strong RA regardless of glassy critical dynamics manifested for them. We demonstrate that the thermodynamic nature of the low-temperature peak is a ferromagnetic-like dynamic phase transition to quasi-long range order (QLRO) for the former. Our simulation, therefore, is able to be incorporated with the experiments to help clarify the existence of the QLRO theoretically predicted so far.