2008
DOI: 10.1103/physrevb.77.075329
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Optical properties of free-standing GaAs semiconductor nanowires and their dependence on the growth direction

Abstract: The electronic states of a free-standing widegap semiconductor quantum nanowire are investigated. We applied the variational technique using the effective mass approximation within the k · p model to a thin cylindrical GaAs nanowire. The energy dispersion, the distribution of the spinor components, and the optical absorption spectra are presented. The hole dispersion shows a typical "camel back" structure. The effect of the dielectric mismatch between the wire and the surrounding medium and the influence of th… Show more

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Cited by 24 publications
(23 citation statements)
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“…In semiconductor NWs, ε ( ω ) can be modified by size‐dependent quantization effects, along with changes in the excitonic properties and the dielectric confinement of the electric field due to the mismatch between ε ( ω ) for the NW (here denoted by ε s ) and that for the surrounding matrix ( ε l ) 68, 69. Calculations of the electronic band structure 70–72 show that size‐dependent effects are minimal for nearly all of the NWs considered in this paper (with the exception of the quantum confined CdSe NWs discussed in Section 5.1 31) since their radius is substantially larger than the exciton Bohr radius a B , a measure of the spatial extent of the excitonic wave function 65. Excitonic properties are also only nominally affected for NWs with d > 2 a B 68.…”
Section: Linear Optical Properties Of Semiconductor Nanowiresmentioning
confidence: 81%
“…In semiconductor NWs, ε ( ω ) can be modified by size‐dependent quantization effects, along with changes in the excitonic properties and the dielectric confinement of the electric field due to the mismatch between ε ( ω ) for the NW (here denoted by ε s ) and that for the surrounding matrix ( ε l ) 68, 69. Calculations of the electronic band structure 70–72 show that size‐dependent effects are minimal for nearly all of the NWs considered in this paper (with the exception of the quantum confined CdSe NWs discussed in Section 5.1 31) since their radius is substantially larger than the exciton Bohr radius a B , a measure of the spatial extent of the excitonic wave function 65. Excitonic properties are also only nominally affected for NWs with d > 2 a B 68.…”
Section: Linear Optical Properties Of Semiconductor Nanowiresmentioning
confidence: 81%
“…Very recently, the dielectric mismatch effect on the electronic structures, impurity states and excitonic absorption spectrum in various semiconductor nanostructures have been investigated [24][25][26].…”
Section: Introductionmentioning
confidence: 99%
“…Various methods, including density-functional-theory (DFT)2829303132, tight-binding (TB) theory252633343536373839404142, and the theory244344454647484950515253, have been used to calculate the band structure of nanowires. Among them, DFT is the first-principle method which is free from any adjustable parameters, and is therefore often the choice for electronic structure calculations.…”
Section: Methodsmentioning
confidence: 99%