Theoretical exploration on the magnetic properties of ferromagnetic metallic glass: An Ising model on random recursive lattice

Abstract

The ferromagnetic Ising spins are modeled on a recursive lattice constructed from random-angled rhombus units with stochastic configurations, to study the magnetic properties of the bulk Fe-based metallic glass. The integration of spins on the structural glass model well represents the magnetic moments in the glassy metal. The model is exactly solved by the recursive calculation technique. The magnetization of the amorphous Ising spins, i.e. the glassy metallic magnet is investigated by our modeling and calculation on a theoretical base. The results show that the glassy metallic magnets has a lower Curie temperature, weaker magnetization, and higher entropy comparing to the regular ferromagnet in crystal form. These findings can be understood with the randomness of the amorphous system, and agrees well with others' experimental observations.

Exact calculation of the elastic antiferromagnetic Ising model under static external force on Husimi lattice

“…This observation is of quite interest but not strange to us, when we explored the exact calculation in the antiferromagnetic Ising system on recursive lattice [11,12], the destroy of 2-cycle ordered state and mandatory induction of 1-cycle solution can lead to the supercooled state without crystallization, and subsequent the Kauzmann paradox of zero entropy [15]. The difference is that in the previous reports these unphysical negatives are from calculation technique, and are controversial to be numerical but not really Kauzmann.…”

“…Please note this setup is optional, the model is in either way reasonable to describe various real systems, e.g. the ferromagnetic metallic glass [11] or antiferroalloy [12], the methodology discussed in this work can be easily extended to other physical situations and more complicated case.…”