<p>We investigated the magnetic properties of an Ising diluted nanotube with a mixed-spin (1/2,3/2) hexagonal core-shell structure, using a combination of effective field theory (EFT) and probability distribution techniques. The study uniquely explored the effects of disorder in both the core and shell in relation to the uniaxial anisotropy <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12648_2025_3658_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\(D_z\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>D</mi> <mi>z</mi> </msub> </math></EquationSource> </InlineEquation> and core-shell exchange interactions <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12648_2025_3658_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="26" /> </InlineMediaObject> <EquationSource Format="TEX">\(R_{cs}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>R</mi> <mrow> <mi mathvariant="italic">cs</mi> </mrow> </msub> </math></EquationSource> </InlineEquation>. Additionnaly, the research highlighted a diverse range of compensation behaviors (Q-, R-, S-, N-, L-, and P-types) based on Néel’s classification. To invoke the enegetic aspect, we studied also the internal energy, the magnetic susceptibiliy and the free energy. The discovery of triple hysteresis loops under specific parameter conditions, added a significant new dimension to the understanding of such systems.</p>

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Bond-dilution effects on magnetic and hysteretic properties of mixed spin-(1/2,3/2) Ising ferrimagnetic nanotube

  • L. Darbali,
  • B. Nmaila,
  • L. B. Drissi,
  • R. Ahl Laamara,
  • K. Htoutou

摘要

We investigated the magnetic properties of an Ising diluted nanotube with a mixed-spin (1/2,3/2) hexagonal core-shell structure, using a combination of effective field theory (EFT) and probability distribution techniques. The study uniquely explored the effects of disorder in both the core and shell in relation to the uniaxial anisotropy \(D_z\) D z and core-shell exchange interactions \(R_{cs}\) R cs . Additionnaly, the research highlighted a diverse range of compensation behaviors (Q-, R-, S-, N-, L-, and P-types) based on Néel’s classification. To invoke the enegetic aspect, we studied also the internal energy, the magnetic susceptibiliy and the free energy. The discovery of triple hysteresis loops under specific parameter conditions, added a significant new dimension to the understanding of such systems.