<p>The equation of position-dependent mass (PDM) Klein-Gordon Oscillator in cosmic string rainbow gravity spacetime under the influence of mixed magnetic field for Coulomb potential is solved using biconfluent Heun equation. The result of this solution is obtained energy level and wave function. Furthermore, energy level of GaAs QD for two rainbow functions is numerically calculated using Matlab software. Meanwhile, the wave function is used to calculate the optical properties of GaAs QD numerically for two rainbow functions using Matlab software. Our results show that refractive index coefficient (RIC) and absorption coefficient (AC) decrease and shift towards higher energy (blue shift) as the rainbow function <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12596_2024_2369_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">$\delta$</EquationSource> <EquationSource Format="MATHML"><math> <mi>δ</mi> </math></EquationSource> </InlineEquation>, mixed magnetic <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12596_2024_2369_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">${B}_{1}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>B</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12596_2024_2369_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">${B}_{2}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>B</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>, and PDM <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12596_2024_2369_Article_IEq4.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">$\eta$</EquationSource> <EquationSource Format="MATHML"><math> <mi>η</mi> </math></EquationSource> </InlineEquation>, while RIC and AC decrease and shift towards lower energy (red shift) as the topology defect <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12596_2024_2369_Article_IEq5.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">$\alpha$</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation> for rainbow 1 function. In addition, RIC and AC increase and shift towards lower energy (red shift) as rainbow function <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12596_2024_2369_Article_IEq6.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">$\delta$</EquationSource> <EquationSource Format="MATHML"><math> <mi>δ</mi> </math></EquationSource> </InlineEquation>, mixed magnetic <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12596_2024_2369_Article_IEq7.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">${B}_{1}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>B</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12596_2024_2369_Article_IEq8.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">${B}_{2}$</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>B</mi> <mn>2</mn> </msub> </math></EquationSource> </InlineEquation>, topology defect <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12596_2024_2369_Article_IEq9.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">$\alpha$</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation>, and PDM <InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12596_2024_2369_Article_IEq10.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">$\eta$</EquationSource> <EquationSource Format="MATHML"><math> <mi>η</mi> </math></EquationSource> </InlineEquation> for rainbow 2 function.</p>

Effect of topology defect, mixed magnetic field, rainbow gravity, and PDM on optical properties GaAs quantum dot

期刊论文
发表日期：

2025年1月6日

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A. Suparmi,
Briant Sabathino Harya Wibawa,
C. Cari,
A. Sulaksono,
Fuad Anwar

摘要

The equation of position-dependent mass (PDM) Klein-Gordon Oscillator in cosmic string rainbow gravity spacetime under the influence of mixed magnetic field for Coulomb potential is solved using biconfluent Heun equation. The result of this solution is obtained energy level and wave function. Furthermore, energy level of GaAs QD for two rainbow functions is numerically calculated using Matlab software. Meanwhile, the wave function is used to calculate the optical properties of GaAs QD numerically for two rainbow functions using Matlab software. Our results show that refractive index coefficient (RIC) and absorption coefficient (AC) decrease and shift towards higher energy (blue shift) as the rainbow function $\delta$ $δ$ , mixed magnetic ${B}_{1}$ $B_{1}$ and ${B}_{2}$ $B_{2}$ , and PDM $\eta$ $η$ , while RIC and AC decrease and shift towards lower energy (red shift) as the topology defect $\alpha$ $α$ for rainbow 1 function. In addition, RIC and AC increase and shift towards lower energy (red shift) as rainbow function $\delta$ $δ$ , mixed magnetic ${B}_{1}$ $B_{1}$ and ${B}_{2}$ $B_{2}$ , topology defect $\alpha$ $α$ , and PDM $\eta$ $η$ for rainbow 2 function.