Abstract

The dissipative part of the linear magnetic dynamic susceptibility of dipolar spin glasses is considered. Due to the transition of the system (at enough high concentration of the magnetic dipoles) from a paramagnetic phase to magnetic dipolar one, an anomalous temperature dependence of the dissipative part of the magnetic susceptibility is found. Our results are in qualitative agreement with experiments performed on the dipolar-coupled Ising magnet LiHoxY1-xF4.

Highlights

  • Dipolar interactions are always present in paramagnets and paraelectrics systems

  • Our results are in qualitative agreement with experiments performed on the dipolar-coupled Ising magnet LiHoxY1-xF4

  • Dilute magnetic dipolar systems have been the subject of many studies addressing, in particular, the question of whether or not a spin glass like phase exists in these systems [1,2,3,4,5,6,7]

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Summary

Introduction

Dilute magnetic dipolar systems have been the subject of many studies addressing, in particular, the question of whether or not a spin glass like phase exists in these systems [1,2,3,4,5,6,7]. The dipole-dipole interaction have a similar behaviour of the RKKY interaction that fall off as 1/r3 so, one might expect the existence of a spin glass phase transition with a low freezing temperature. The most studied example of such models is the dilute, insulating, dipolar-coupled Ising magnetic LiHoxY1-xF4 (non magnetic Y for magnetic Ho) which presents a freezing temperature Tg = 0.13 K for x = 0.167 [3]. The main result is an anomalous temperature dependence of the dissipative part of the magnetic susceptibility due to the transition of the system from paramagnetic phase to magnetic dipolar glass one

The Model Hamiltonian
X with the HXam0 iltwohneiarne
Dynamic Magnetic Susceptibility
Discussion of the Results
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