Coherent-potential approximation for liquid metals and amorphous solids. I. Tight-binding model

1975 ◽  
Vol 11 (12) ◽  
pp. 4746-4752 ◽  
Author(s):  
Fumiko Yonezawa ◽  
Mitsuo Watabe
2000 ◽  
Vol 639 ◽  
Author(s):  
Yuzo Shinozuka ◽  
Hirotsugu Kida ◽  
Masanori Watarikawa

ABSTRACTWe have theoretically studied optical properties of a quantum well (QW) in which the well region is constructed from a binary alloy semiconductor A1−xBx in the coherent potential approximation (CPA). A tight binding model is used for a single particle (electron, hole, Frenkel exciton) in the well composed by a rectangular array of NxxNyxNz sites. The effect of the diagonal randomness is reduced to the coherent potential σ(E), which is assumed to be the same for all sites, and is selfconsistently determined with the average Green's function. For a slab (∞, ∞, Nz) and wire (∞, Ny, Nz), the density of states (E) is composed of Nz (or NyxNz) subbands, each shows the two (one)-dimensional van-Hove singularity. When x (or 1−x) is small, a B (A) impurity-band always appears at the lower (higher) energy side of the lowest (highest) host-band. The change of (E) and the absorption spectrum by changing the well-width and the dimensionality is discussed in detail.


1973 ◽  
Vol 45 (4) ◽  
pp. 291-292 ◽  
Author(s):  
B. Movaghar ◽  
D.E. Miller ◽  
K.H. Bennemann

AIP Advances ◽  
2021 ◽  
Vol 11 (1) ◽  
pp. 015127
Author(s):  
Qiuyuan Chen ◽  
Jiawei Chang ◽  
Lin Ma ◽  
Chenghan Li ◽  
Liangfei Duan ◽  
...  

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