SO phonons in spherical nanostructured quantum dots

Comas, F.; Odriazola, A.

doi:10.1002/pssb.200440005

Cited by 3 publications

(2 citation statements)

References 34 publications

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“…In fact, the size-dependence of phonon spectra of CdSe/Te and AlGaAs QDs have been widely reported [32][33][34][35][36][37][38][39]. Paula's group [32] experimentally studied the phonon spectra of CdTe QDs as a function of the QD size by means of resonant Raman scattering measurements.…”

Section: Zhangmentioning

confidence: 99%

“…They observed an explicit frequency blue-shift of longitudinal optical (LO)-like phonon modes as the diameter of the nanorod increases. Comas and coauthors [37] theoretically deduced and analyzed the SO phonon modes in spherical nanostructured QDs and semiconductor quantum rods under the standard dielectric continuum (DC) approach. Their discussions were mainly focused on the dispersion of SO modes as functions of the QD size and dielectric constants d of matrix.…”

Section: Zhangmentioning

confidence: 99%

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Polar interface optical phonon states and their dispersive properties of a wurtzite GaN quantum dot: quantum size effect

Zhang¹

2010

Condens. Matter Phys.

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Based on the macroscopic dielectric continuum model, the interface-optical-propagating (IO-PR) mixing phonon modes of a quasi-zero-dimensional (Q0D) wurtzite cylindrical quantum dot (QD) structure are derived and studied. The analytical phonon states of IO-PR mixing modes are given. It is found that there are two types of IO-PR mixing phonon modes, i.e. ρ-IO/z-PR mixing modes and the z-IO/ρ-PR mixing modes existing in Q0D wurtzite QDs. Each IO-PR mixing mode also has symmetrical and antisymmetrical forms. Via a standard procedure of field quantization, the Fröhlich Hamiltonians of electron-(IO-PR) mixing phonons interaction are obtained. The orthogonal relations of polarization eigenvectors for these IO-PR mixing modes are also displayed. Numerical calculations for a wurtzite GaN cylindrical QD are focused on the quantum size effect on the dispersive properties of IO-PR mixing modes. The results reveal that both the radial-direction size and the axial-direction size have great effect on the dispersive frequencies of the IO-PR mixing phonon modes. The limiting features of dispersive curves of these phonon modes are discussed in depth. The phonon modes "reducing" the behavior of wurtzite quantum confined structures have been explicitly observed in the systems. Moreover, the behaviors that the IO-PR mixing phonon modes in wurtzite Q0D QDs reduce to the IO modes and PR modes in wurtzite Q2D QW and Q1D QWR systems are profoundly analyzed both from the viewpoint of physics and mathematics. These results show that the present theories of polar mixing phonon modes in wurtzite cylindrical QDs are consistent with the phonon modes theories in wurtzite QWs and QWR systems. The analytical electron-phonon interaction Hamiltonians obtained here are useful in further analyzing the phonon effect on optoelectronic properties of wurtzite Q0D QD structures.

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Section: Zhangmentioning

confidence: 99%

Section: Zhangmentioning

confidence: 99%

Polar interface optical phonon states and their dispersive properties of a wurtzite GaN quantum dot: quantum size effect

Zhang¹

2010

Condens. Matter Phys.

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Polar Mixing Optical Phonon Spectra in Wurtzite GaN Cylindrical Quantum Dots: Quantum Size and Dielectric Effects

Li¹,

Jian-Shang²

2010

Commun. Theor. Phys.

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The interface-optical-propagating (IO-PR) mixing phonon modes of a quasi-zero-dimensional (QoD) wurtzite cylindrical quantum dot (QD) structure are derived and studied by employing the macroscopic dielectric continuum model. The analytical phonon states of IO-PR mixing modes are given. It is found that there are two types of IO-PR mixing phonon modes, i.e. ρ-IO/z-PR mixing modes and the z-IO/ρ-PR mixing modes existing in QoD wurtzite QDs. And each IO-PR mixing modes also have symmetrical and antisymmetrical forms. Via a standard procedure of field quantization, the Fröhlich Hamiltonians of electron-(IO-PR) mixing phonons interaction are obtained. Numerical calculations on a wurtzite GaN cylindrical QD are performed. The results reveal that both the radial-direction size and the axial-direction size as well as the dielectric matrix have great influence on the dispersive frequencies of the IO-PR mixing phonon modes. The limiting features of dispersive curves of these phonon modes are discussed in depth. The phonon modes “reducing" behavior of wurtzite quantum confined systems has been observed obviously in the structures. Moreover, the degenerating behaviors of the IO-PR mixing phonon modes in wurtzite QoD QDs to the IO modes and PR modes in wurtzite Q2D QW and Q1D QWR systems are analyzed deeply from both of the viewpoints of physics and mathematics.

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Dispersive spectra and Fröhlich electron–phonon interaction Hamiltonians of full polar optical phonon states in a wurtzite nitride nanowire: quantum size effect

Zhang

Shi

2012

Semicond. Sci. Technol.

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Based on the dielectric continuum model and Loudon's uniaxial crystal model, the full polar optical phonon modes including the propagating (PR) modes, quasi-confined modes, half-space (HS) modes and interface optical modes in a quasi-one-dimensional (Q1D) wurtzite rectangular nanowire (NW) structure are deduced and analyzed. The analytical phonon states, their dispersion equations, polar polarization eigenvectors and Fröhlich electron-phonon interaction Hamiltonians are derived. Numerical calculations of quantum size effect on the dispersive spectra for these modes are performed on a wurtzite GaN/Al 0.15 Ga 0.85 N rectangular wurtzite NW. The dispersive features of the four types of phonon modes are analyzed. The behavior of the PR modes reducing to the corresponding HS modes is observed clearly in the dispersive curves of these modes, which reveals that the present theories of phonon modes are self-consistency and correct for the description of phonon modes in wurtzite Q1D rectangular NW. Moreover, there are some yielding points in the dispersive curves of the PR modes. These observations and results reveal that the confined dimensionality and cross-sectional shape influence greatly the dispersive properties of phonon modes in wurtzite quantum confined systems.

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SO phonons in spherical nanostructured quantum dots

Cited by 3 publications

References 34 publications

Polar interface optical phonon states and their dispersive properties of a wurtzite GaN quantum dot: quantum size effect

Polar interface optical phonon states and their dispersive properties of a wurtzite GaN quantum dot: quantum size effect

Polar Mixing Optical Phonon Spectra in Wurtzite GaN Cylindrical Quantum Dots: Quantum Size and Dielectric Effects

Dispersive spectra and Fröhlich electron–phonon interaction Hamiltonians of full polar optical phonon states in a wurtzite nitride nanowire: quantum size effect

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