Exploring the impact of Bond-Dilution on Magnetic properties of a mixed spin-$1$ and spin-$3/2$ cylindrical Ising Nanotube: Effective Field Theory

Abstract

<title>Abstract</title> The magnetic properties of Ising-diluted nanotubes with mixed spin-(1/2,3/2) and cylindrical core-shell structures are studied using effective field theory and probability distribution technique. This framework is focused on exploring the effects of the bond disorder in the core and the shell sublattices, on the magnetic and thermodynamic properties of the system, such as the total longitudinal magnetization, the internal energy, the free energy, and the magnetic susceptibility, as well as the hysteresis multi-loop behaviors. Depending on the longitudinal crystal fields of the core ( <italic>D</italic> _{<italic>c</italic>} ) and the shell ( <italic>D</italic> _{<italic>s</italic>} ) sublattices, and of the exchange coupling core-shell <italic>R</italic> _{<italic>cs</italic>} , our result contains several interesting phenomena such as the second-order phase transitions, and the existence of N-, Q-, P-, R- and S- type compensation behaviors according to Neel’s and Strecka’s theories of ferrimagnetism. Moreover, the system presents a quintuple hysteresis loop phenomenon for total magnetization under certain values of D _{<italic>c</italic>} , <italic>T</italic> , and <italic>R</italic> _{<italic>cs</italic>} .