Optical phonon modes in a free-standing quantum wire with ring geometry

The effect of electron–phonon interaction on optical properties of a triangular quantum wire

“…In this section we use the continuum approximation, and find an expression for FrÖhlich interaction in our system [26] . We start with the electrostatic equations as:…”

Electron–phonon interaction in hemispherical quantum dot

“…Because of simplicity and efficiency, the DC model has been widely used. For example, for the isotropic materials, the quantum dot [19][20][21][22][23][24], quantum wire [25][26][27][28], double-nanoshell [29], triangular and fan-shaped quantum dots (wires) systems [30][31][32], and quantum ring [33,34] have been investigated. For the wurtzite-type materials, the bulk structures [35], heterostructures [36][37][38], quantum wells [39][40][41], superlattices [42], quantum wires [43,45], quantum dots [46,44,[47][48][49][50], and nanotubes [51] have been researched with the DC model and Loudon's uniaxial crystal model [52].…”

Raman Mapping for the Investigation of Nano-phased Materials

“…In this scheme, the Raman wavenumber values are inversely proportional to nanoparticles diameter [1,77,79,80]. • In semiconductor quantum structures too small to be seen as homogeneous, macroscopic approximations taking the geometry of the sample into account by mechanical and/or electrostatic boundary conditions (the so-called dielectric continuum and hydrodynamic models, with all their modified versions) can be used [56,[81][82][83][84][85][86].…”