<p>Altering the bias direction during the process of field-cooling can result in variations of non-collinear directions (helicities), which influence the number of irreversible spins and the resulting exchange coupling differently depending on the direction of the bias. The statistical differences in spin configuration <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\delta m_{r}^{{ + / - }}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>δ</mi> <msubsup> <mi>m</mi> <mrow> <mi>r</mi> </mrow> <mrow> <mo>+</mo> <mo stretchy="false">/</mo> <mo>-</mo> </mrow> </msubsup> </mrow> </math></EquationSource> </InlineEquation>, along with the corresponding exchange bias field <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(H_{{eb}}^{{ - / + }}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>H</mi> <mrow> <mrow> <mi mathvariant="italic">eb</mi> </mrow> </mrow> <mrow> <mo>-</mo> <mo stretchy="false">/</mo> <mo>+</mo> </mrow> </msubsup> </math></EquationSource> </InlineEquation> values, are utilized to study the changes as a function of temperature within an antiferro-ferro(magnetic)–rare-earth (AF–FM–RE) system (Mn<sub>3</sub>Ir/CoFe/Dy). We examine two samples, one featuring a thinner FM layer compared to another with a thicker FM layer, reported earlier. We demonstrate how diverse field-cooling methods, stemming from slight statistical discrepancies in irreversible spins, significantly impact the magnitudes while preserving their overall characteristics. Even with a reduction in the thickness of the FM layer, there was no indication of spin-freezing or blocking-type ordering in the system, apart from the observation of ferromagnetic characteristics with temperature-shifted magnetic phases. Deterioration of the FM–RE interface has resulted in a lowering of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\delta m_{r}^{{ + / - }}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>δ</mi> <msubsup> <mi>m</mi> <mrow> <mi>r</mi> </mrow> <mrow> <mo>+</mo> <mo stretchy="false">/</mo> <mo>-</mo> </mrow> </msubsup> </mrow> </math></EquationSource> </InlineEquation> contribution.</p> Graphical abstract <p></p>

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Influence of the ferromagnetic layer thickness in antiferro–ferro(magnetic)–rare-earth trilayers on exchange coupling

  • Xiangshang Xiao,
  • Amitesh Paul

摘要

Altering the bias direction during the process of field-cooling can result in variations of non-collinear directions (helicities), which influence the number of irreversible spins and the resulting exchange coupling differently depending on the direction of the bias. The statistical differences in spin configuration \(\delta m_{r}^{{ + / - }}\) δ m r + / - , along with the corresponding exchange bias field \(H_{{eb}}^{{ - / + }}\) H eb - / + values, are utilized to study the changes as a function of temperature within an antiferro-ferro(magnetic)–rare-earth (AF–FM–RE) system (Mn3Ir/CoFe/Dy). We examine two samples, one featuring a thinner FM layer compared to another with a thicker FM layer, reported earlier. We demonstrate how diverse field-cooling methods, stemming from slight statistical discrepancies in irreversible spins, significantly impact the magnitudes while preserving their overall characteristics. Even with a reduction in the thickness of the FM layer, there was no indication of spin-freezing or blocking-type ordering in the system, apart from the observation of ferromagnetic characteristics with temperature-shifted magnetic phases. Deterioration of the FM–RE interface has resulted in a lowering of \(\delta m_{r}^{{ + / - }}\) δ m r + / - contribution.

Graphical abstract