<p>First-principles calculations have been carried out to study the electronic and optical properties of InP<sub><i>x</i></sub>Sb<sub>1−<i>x</i></sub>. Our finding shows that the bandgap energy of InP<sub><i>x</i></sub>Sb<sub>1−<i>x</i></sub> first goes down and then goes up quickly. The bandgap narrowing in the P component range of 0–0.05 is a result of the downward shift of the CBM, which is due to the coupling interaction between the In-5<i>s</i> and P-3<i>s</i> states. For the bandgap enlargement of InP<sub><i>x</i></sub>Sb<sub>1−<i>x</i></sub>, it is primarily on account of the downward shift of the VBM and the upward shift of the CBM at the G point. In order to represent the bandgap energy, the fusion-repelling model has been adopted, and a satisfactory result was attained. If the standard bowing equation is utilized, the bowing parameter of 1.31&#xa0;eV is gained. In addition, increasing the P component can reduce the static dielectric constant. <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11664_2025_11874_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="60" /> </InlineMediaObject> <EquationSource Format="TEX">\(E_{0} + \Delta_{0}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>E</mi> <mn>0</mn> </msub> <mo>+</mo> <msub> <mi mathvariant="normal">Δ</mi> <mn>0</mn> </msub> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11664_2025_11874_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="60" /> </InlineMediaObject> <EquationSource Format="TEX">\(E_{1} + \Delta_{1}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>E</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi mathvariant="normal">Δ</mi> <mn>1</mn> </msub> </mrow> </math></EquationSource> </InlineEquation> for InP<sub><i>x</i></sub>Sb<sub>1−<i>x</i></sub> show a similar composition dependence as the bandgap energy. For <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11664_2025_11874_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(E_{2}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>E</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11664_2025_11874_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\(E_{1}^{\prime }\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>E</mi> <mrow> <mn>1</mn> </mrow> <mo>′</mo> </msubsup> </math></EquationSource> </InlineEquation>, both of them manifest an upward trend over the entire component range. Finally, increasing P component can first cause a redshift, and then a blueshift is followed for the absorption spectra in the low-energy region. This is owing to the variation of the bandgap energy.</p>

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An Ab Initio Calculation for Electronic and Optical Properties of InPxSb1−x Alloy Across the Whole Component

  • Chuan-Zhen Zhao,
  • Si-Qi Ding

摘要

First-principles calculations have been carried out to study the electronic and optical properties of InPxSb1−x. Our finding shows that the bandgap energy of InPxSb1−x first goes down and then goes up quickly. The bandgap narrowing in the P component range of 0–0.05 is a result of the downward shift of the CBM, which is due to the coupling interaction between the In-5s and P-3s states. For the bandgap enlargement of InPxSb1−x, it is primarily on account of the downward shift of the VBM and the upward shift of the CBM at the G point. In order to represent the bandgap energy, the fusion-repelling model has been adopted, and a satisfactory result was attained. If the standard bowing equation is utilized, the bowing parameter of 1.31 eV is gained. In addition, increasing the P component can reduce the static dielectric constant. \(E_{0} + \Delta_{0}\) E 0 + Δ 0 and \(E_{1} + \Delta_{1}\) E 1 + Δ 1 for InPxSb1−x show a similar composition dependence as the bandgap energy. For \(E_{2}\) E 2 and \(E_{1}^{\prime }\) E 1 , both of them manifest an upward trend over the entire component range. Finally, increasing P component can first cause a redshift, and then a blueshift is followed for the absorption spectra in the low-energy region. This is owing to the variation of the bandgap energy.