<p>This research explores how temperature (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2025_8551_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">$\mathrm{T}$</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">T</mi> </math></EquationSource> </InlineEquation>) and magnetic field (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2025_8551_Article_IEq2.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">$\upgamma$</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">γ</mi> </math></EquationSource> </InlineEquation>) influence the optical absorption coefficients (OACs) and oscillator strength (<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2025_8551_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">${\mathrm{OS}}_{\mathrm{fi}}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="normal">OS</mi> <mi mathvariant="normal">fi</mi> </msub> </math></EquationSource> </InlineEquation>) of a magnetic impurity (<InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2025_8551_Article_IEq4.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="40" /> </InlineMediaObject> <EquationSource Format="TEX">${\mathrm{Mn}}^{2+}$</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="normal">Mn</mi> </mrow> <mrow> <mn>2</mn> <mo>+</mo> </mrow> </msup> </math></EquationSource> </InlineEquation>) embedded within a <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2025_8551_Article_IEq5.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="137" /> </InlineMediaObject> <EquationSource Format="TEX">$\mathrm{CdTe}/{\mathrm{Cd}}_{1-\mathrm{x}}{\mathrm{Mn}}_{\mathrm{x}}\mathrm{Te}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">CdTe</mi> <mo stretchy="false">/</mo> <msub> <mi mathvariant="normal">Cd</mi> <mrow> <mn>1</mn> <mo>-</mo> <mi mathvariant="normal">x</mi> </mrow> </msub> <msub> <mi mathvariant="normal">Mn</mi> <mi mathvariant="normal">x</mi> </msub> <mi mathvariant="normal">Te</mi> </mrow> </math></EquationSource> </InlineEquation> dilute magnetic double quantum well (DQW). The calculation is conducted using the variational approach within the framework of the effective mass approximation (EMA). Additionally, the analysis incorporates the spin polaronic shift (SP Shift), evaluating its impact on the magnetic impurity states (<InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2025_8551_Article_IEq6.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="16" /> </InlineMediaObject> <EquationSource Format="TEX">$1\mathrm{s}$</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>1</mn> <mi mathvariant="normal">s</mi> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2025_8551_Article_IEq7.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">${2\mathrm{p}}_{\mathrm{x}}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mrow> <mn>2</mn> <mi mathvariant="normal">p</mi> </mrow> <mi mathvariant="normal">x</mi> </msub> </math></EquationSource> </InlineEquation>). The outcomes demonstrate that the OAC attaints its peak intensity when <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2025_8551_Article_IEq4.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="40" /> </InlineMediaObject> <EquationSource Format="TEX">${\mathrm{Mn}}^{2+}$</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="normal">Mn</mi> </mrow> <mrow> <mn>2</mn> <mo>+</mo> </mrow> </msup> </math></EquationSource> </InlineEquation> is situated at the center of the barrier compared to other positions. Moreover, variations in <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2025_8551_Article_IEq2.gif" Format="GIF" Height="13" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">$\upgamma$</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">γ</mi> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2025_8551_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">$\mathrm{T}$</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">T</mi> </math></EquationSource> </InlineEquation> lead to a reduction in the OAC magnitude and cause a red shift in the peak position. Besides that, the aforementioned effects have on opposite impact on the spin orientations.</p>

Magnetic impurity-related optical absorption coefficients in a semimagnetic double quantum well under magnetic field and temperature effects

期刊论文
发表日期：

2025年5月8日

查看全文

H. Azmi,
K. El-Bakkari,
A. Fakkahi,
A. Mazouz,
M. Jaouane,
A. Ed-Dahmouny,
R. Arraoui,
M. Jaafar,
A. Sali,
N. Amri,
H. El Ghazi

摘要

This research explores how temperature ( $\mathrm{T}$ $T$ ) and magnetic field ( $\upgamma$ $γ$ ) influence the optical absorption coefficients (OACs) and oscillator strength ( ${\mathrm{OS}}_{\mathrm{fi}}$ ${OS}_{fi}$ ) of a magnetic impurity ( ${\mathrm{Mn}}^{2+}$ ${Mn}^{2 +}$ ) embedded within a $\mathrm{CdTe}/{\mathrm{Cd}}_{1-\mathrm{x}}{\mathrm{Mn}}_{\mathrm{x}}\mathrm{Te}$ $CdTe / {Cd}_{1 - x} {Mn}_{x} Te$ dilute magnetic double quantum well (DQW). The calculation is conducted using the variational approach within the framework of the effective mass approximation (EMA). Additionally, the analysis incorporates the spin polaronic shift (SP Shift), evaluating its impact on the magnetic impurity states ( $1\mathrm{s}$ $1 s$ and ${2\mathrm{p}}_{\mathrm{x}}$ ${2 p}_{x}$ ). The outcomes demonstrate that the OAC attaints its peak intensity when ${\mathrm{Mn}}^{2+}$ ${Mn}^{2 +}$ is situated at the center of the barrier compared to other positions. Moreover, variations in $\upgamma$ $γ$ and $\mathrm{T}$ $T$ lead to a reduction in the OAC magnitude and cause a red shift in the peak position. Besides that, the aforementioned effects have on opposite impact on the spin orientations.