<p>We investigated the magnetic properties and phase transitions of a hexagonal Ising multi-layered core/double-shell nanowire comprising a spin-5/2 core, a spin-1 inner shell, and a spin-3/2 outer shell. Using Monte Carlo simulations based on the Metropolis algorithm and exact calculations of ground-state phase diagrams, we explored the system’s behavior under various Hamiltonian parameters. The zero-temperature ground-state diagrams (GSDs) revealed multiple stable configurations with diverse topologies, including a compensation phenomenon for negative crystalline fields (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6991_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Delta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Δ</mi> </math></EquationSource> </InlineEquation>). The phase diagram in the (T, <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6991_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Delta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Δ</mi> </math></EquationSource> </InlineEquation>) plane was mapped, identifying ferromagnetic, semi-ordered, and paramagnetic phases. The temperature dependence of total and partial magnetization was analyzed for different values of <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6991_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="15" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Delta \)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Δ</mi> </math></EquationSource> </InlineEquation>, external field (h), and interface exchange couplings (J<InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6991_Article_IEq4.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\( _{int}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow> <mi mathvariant="italic">int</mi> </mrow> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>). Additionally, hysteresis loops were studied under varying nanowire length (L), temperature (T), and J<InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10948_2025_6991_Article_IEq5.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(_{int}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow> <mi mathvariant="italic">int</mi> </mrow> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>, revealing a strong correlation between these parameters and the loops’ shape. This study provides significant insights for the design and optimization of next-generation nanomagnetic systems, with potential applications including, advanced memory storage devices and spintronic components.</p>

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Magnetic Phase Transitions and Hysteresis in Hexagonal Multi-layered Core/Double-Shell Nanowires

  • M. Chakir,
  • A. El Ghazrani,
  • L. B. Drissi

摘要

We investigated the magnetic properties and phase transitions of a hexagonal Ising multi-layered core/double-shell nanowire comprising a spin-5/2 core, a spin-1 inner shell, and a spin-3/2 outer shell. Using Monte Carlo simulations based on the Metropolis algorithm and exact calculations of ground-state phase diagrams, we explored the system’s behavior under various Hamiltonian parameters. The zero-temperature ground-state diagrams (GSDs) revealed multiple stable configurations with diverse topologies, including a compensation phenomenon for negative crystalline fields ( \(\Delta \) Δ ). The phase diagram in the (T, \(\Delta \) Δ ) plane was mapped, identifying ferromagnetic, semi-ordered, and paramagnetic phases. The temperature dependence of total and partial magnetization was analyzed for different values of \(\Delta \) Δ , external field (h), and interface exchange couplings (J \( _{int}\) int ). Additionally, hysteresis loops were studied under varying nanowire length (L), temperature (T), and J \(_{int}\) int , revealing a strong correlation between these parameters and the loops’ shape. This study provides significant insights for the design and optimization of next-generation nanomagnetic systems, with potential applications including, advanced memory storage devices and spintronic components.