THE REFLECTIVITY OF THE MIXED CRYSTAL AB1-xCx

2010 ◽  
Vol 24 (27) ◽  
pp. 5337-5343
Author(s):  
XIAOYAN ZHANG ◽  
JINGFENG WANG ◽  
GUOLIANG FAN

The properties of long wavelength optical phonons in mixed crystals AB 1-x C x is discussed by a model similar to Modified Random Element Isodisplacement (MREI). Using this method we investigate the frequencies, the dielectric functions, and the reflectivity of several mixed crystals. It is found that this model can be applied to the one-mode behavior, the two-mode behavior, and that of the third category. So the model provides a possible way to understand the optical character of the ternary mixed crystal. Based on it, we can discuss other problems similar to electron–phonon interaction and so on.

2015 ◽  
Vol 29 (23) ◽  
pp. 1550130 ◽  
Author(s):  
Yunpeng Fan ◽  
Junhua Hou

The electron–optical-phonon interaction between an electron and two branches of LO-phonon modes in a quasi-one-dimensional ternary mixed crystal (TMC) of polar semiconductors is studied. The new electron–phonon interaction Hamiltonian including the unit-cell volume variation in TMCs is obtained by using the modified random element isodisplacement model and Born–Huang method. The energies of polaron are numerically calculated for several systems of III–V compounds. A group of III-nitride mixed crystals is also taken into numerical calculation in our theory. It is verified theoretically that the obvious nonlinearity of the polaronic energy and effective mass with the composition is essential and the unit-cell volume effects cannot be neglected except the very weak e–p coupling.


2007 ◽  
Vol 21 (22) ◽  
pp. 3841-3850 ◽  
Author(s):  
SHU YI WEI ◽  
FANG ZHANG ◽  
WEI LI ◽  
ZU ZHAO ◽  
WEN DENG HUANG

Optical vibrations of the lattice and the electron-optical-phonon interaction in wurtzite ternary nitride-based crystals was studied using the pseudo-unit-cell approach. The Fröhlich coupling constants, polaron energy shifts and the effective masses of the polaron in the system were investigated using the perturbation method. It was found that the LO and TO phonons in wurtzite Al x Ga 1-x N exhibit the one-mode behavior. The effects of the unit-cell volume varying with the composition x of ternary nitride-based crystals were also investigated.


2019 ◽  
Vol 33 (06) ◽  
pp. 1950068
Author(s):  
Y. Liu ◽  
L. P. Liu ◽  
Y. Xing ◽  
X. X. Liang

Within the framework of the dielectric continuum approach and modified random-element-isodisplacement model, the optical vibration mode in a spherical core-shell quantum dot (CSQD) consisting of ternary mixed crystals (TMCs) are investigated. The dispersion relation and electron–phonon interaction Hamiltonian are derived. As a typical case, the numerical results for [Formula: see text] and [Formula: see text] CSQDs are obtained and discussed. Taking the one- and two-mode behaviors of TMCs into account, the effects of TMCs on interface/surface optical (IO/SO) phonon show that there are 3 and 5 branches of IO/SO phonon modes in [Formula: see text] and [Formula: see text] CSQDs for a given component of TMC, respectively. It is also found that the IO/SO phonon frequencies and electron–phonon interactions are strongly dependent on the component of TMCs and the size of CSQDs. We hope this work would be useful for the study of the phonon-related photoelectric properties in CSQDs consisting of TMCs.


2000 ◽  
Vol 14 (29n31) ◽  
pp. 3555-3560
Author(s):  
D. MANSKE ◽  
I. EREMIN ◽  
K. H. BENNEMANN

Using the one-band Hubbard Hamiltonian we determine various basic properties of the electron-doped cuprate superconductor Nd 2-x Ce x CuO 4 for a spin-fluctuation-induced pairing mechanism. We find a narrow range of superconductivity and, most importantly, like for hole-doped cuprates dx2-y2 -symmetry for the superconducting order parameter. The superconducting transition temperatures Tc(x) for various electron doping concentrations x are calculated to be much smaller than for hole-doped cuprates due to the different energy dispersion and a flat band well below the Fermi level. We find that lattice disorder may sensitively distort the dx2-y2 -symmetry via electron-phonon interaction yielding a finite isotope exponent α0.


2016 ◽  
Vol 30 (15) ◽  
pp. 1650182
Author(s):  
Junhua Hou ◽  
Yunpeng Fan

The electron–phonon (e–p) interaction in three-dimensional (3D), two-dimensional (2D) and one-dimensional (1D) ternary mixed crystals is studied. The e–p interaction Hamiltonians including the unit cell volume variation in ternary mixed crystals are obtained by using the modified random-element-isodisplacement model and Born–Huang method. The polaronic self-trapping energy and renormalized effective mass of GaAs[Formula: see text]Sb[Formula: see text], GaP[Formula: see text]As[Formula: see text] and GaP[Formula: see text]Sb[Formula: see text] compounds are numerically calculated. It is confirmed theoretically that the nonlinear variation of the self-trapping energy and effective mass with the composition is essential and the unit cell volume effects cannot be neglected except the weak e–p coupling. The dimensional effect cannot also be ignored.


2004 ◽  
Vol 18 (01) ◽  
pp. 53-61 ◽  
Author(s):  
YOU-BIN YU ◽  
KANG-XIAN GUO

The influence of electron–phonon interaction on third-harmonic generation in cylindrical quantum wires are investigated. The third-harmonic generation coefficient is obtained using compact-density-matrix approach and iterative method, and the numerical results are presented for GaAs cylindrical quantum wires. The results show that the third-harmonic generation coefficient is greatly enhanced after taking into consideration the influence of electron–phonon interaction. It is about thirty times larger than that obtained by just considering electron states when electron–phonon resonance is met.


1983 ◽  
Vol 99 (5) ◽  
pp. 249-252 ◽  
Author(s):  
V. Müller ◽  
E.-J. Unterhorst ◽  
W. Neumann ◽  
G. Schanz ◽  
C. Schubert

1990 ◽  
Vol 209 ◽  
Author(s):  
A.M. Mazzone

ABSTRACTThis work represents the first attempt of a direct simulation of the processes of electron-phonon interaction and lattice excitation which follow the formation of an excited electron gas such as, for instance, is the one produced by high-energy implants. The simulation method is of the type molecular dynamics and is based on a quantum mechanical representation. The results suggest a lattice disorder similar to the one of a thermal spike.


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