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# Bestimmung von Segregationspro len in InxGa1-x As ...

Bestimmung von Segregationspro len in InxGa1-x As ...

## V (r) = V ′ (r) + iV

V (r) = V ′ (r) + iV ′′ (r) n |Ψ n ( R)| 2 d 2 R = |Ψ n (q)| 2 d 2 q = |F (G n ( R)Ψ n−1 ( R))| 2 d 2 q = |G n ( R)Ψ n−1 ( R))| 2 d 2 R G ∆I n−1 n ∆I = = ≈ (|Ψ n ( R)| 2 − |Ψ n−1 ( R)| 2 )d 2 R |Ψ n−1 ( R)| 2 [exp(−2σV ′′ ( R)) − 1]d 2 R −2σ|Ψ n−1 ( R)| 2 V ′′ ( R)d 2 R R = (x, y) z

P i S i S P i S = 〈e 2πi S·r |V (r − ri − ui(t))| g Ψge 2πig·r 〉 ri ui P i S = Ψgf i S−g e −2πi( S−g)(ri+ui) S I( S) = σ2 ɛ 2 V 2 = σ2 ɛ 2 V 2 + i,j i=j | i P i S | 2 g h g ΨgΨ ∗ h { i f i S−g f i∗ S− h e2πi(g− h)(ri+ui) f i S−g f j∗ S− h e−2πi( S−g)(ri+ui) e 2πi( S− h)(rj+uj) } V 〈I( S)〉t 〈I( S)〉t = σ2 ɛ 2 V 2 + i,j i=j g h ΨgΨ ∗ h { i f i S−g f i∗ S− h e2πi(g− h)ri e −Bi(g− h) 2 f i S−g f j∗ S− h e−2πi[( S−g)ri−( S− h)rj] e −Bi( S−g) 2 e −Bj( S− h) 2 } I( S)Bragg ui = 0 f i S−g f i S−g e −Bi( S−g) 2

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