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<p>Using Monte Carlo simulation (MCS), we study thermal and hysteresis behaviors of a mixed spin-1/2 and spin-3/2 ferromagnetic Ising model in the presence of crystal and external magnetic fields for a quasi-one dimensional system characterized by a lattice of length <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_7034_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textrm{L}\)</EquationSource> <EquationSource Format="MATHML"><math> <mtext>L</mtext> </math></EquationSource> </InlineEquation> and width <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_7034_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textrm{L}'\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mtext>L</mtext> <mo>′</mo> </msup> </math></EquationSource> </InlineEquation> with <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_7034_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="53" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textrm{L}'\ll \textrm{L}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mtext>L</mtext> <mo>′</mo> </msup> <mo>≪</mo> <mtext>L</mtext> </mrow> </math></EquationSource> </InlineEquation>. We show that the effect of the external field on the form of the susceptibility curve is related to the change of <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_7034_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textrm{L}\)</EquationSource> <EquationSource Format="MATHML"><math> <mtext>L</mtext> </math></EquationSource> </InlineEquation>. Our results reveal that this system exhibits a first- to second-order phase transition at reduced temperature <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_7034_Article_IEq5.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="TEX">\(t=0.5\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>t</mi> <mo>=</mo> <mn>0.5</mn> </mrow> </math></EquationSource> </InlineEquation>. Critical exponents are also calculated and compared with those obtained in previous studies. The ground-state phase diagrams of the system are also reported at temperature <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_7034_Article_IEq6.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="44" /> </InlineMediaObject> <EquationSource Format="TEX">\(\textrm{T}\simeq 0\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mtext>T</mtext> <mo>≃</mo> <mn>0</mn> </mrow> </math></EquationSource> </InlineEquation>.</p>

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Magnetic Behavior of Quasi-One-Dimensional Nanostructures in the Presence of the Crystal and External Magnetic Fields: Monte Carlo Study

  • 期刊论文

  • 发表日期：

    2025年8月13日

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  • S. Sidi Ahmed,
  • S. Sidi Mohamed,
  • M. Vall

摘要

Using Monte Carlo simulation (MCS), we study thermal and hysteresis behaviors of a mixed spin-1/2 and spin-3/2 ferromagnetic Ising model in the presence of crystal and external magnetic fields for a quasi-one dimensional system characterized by a lattice of length \(\textrm{L}\) L and width \(\textrm{L}'\) L ′ with \(\textrm{L}'\ll \textrm{L}\) L ′ ≪ L . We show that the effect of the external field on the form of the susceptibility curve is related to the change of \(\textrm{L}\) L . Our results reveal that this system exhibits a first- to second-order phase transition at reduced temperature \(t=0.5\) t = 0.5 . Critical exponents are also calculated and compared with those obtained in previous studies. The ground-state phase diagrams of the system are also reported at temperature \(\textrm{T}\simeq 0\) T ≃ 0 .