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Ebert - Psi-k

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Ludwig<br />

Maximilians-<br />

Universität<br />

München<br />

Solving the impurity problem<br />

pure host<br />

τ host<br />

=<br />

⎡⎛<br />

⎢⎜<br />

⎣⎝<br />

t host<br />

t host<br />

...<br />

⎞−1 ⎤<br />

− G 0<br />

⎟<br />

⎠<br />

⎥<br />

⎦<br />

−1<br />

impurity system<br />

⎡⎛<br />

τ imp<br />

= ⎢⎜<br />

⎣⎝<br />

t imp<br />

t host<br />

...<br />

⎞−1 ⎤<br />

− G 0<br />

⎟<br />

⎠<br />

⎥<br />

⎦<br />

−1<br />

partition of matrices leads to<br />

τ 00<br />

imp = [<br />

(t imp ) −1 − (t host ) −1 + (τ 00<br />

host )−1] −1<br />

KKR07 – p.46/100

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