use transfer matrix

次へ: block matrix, non-orthogonal basis 上へ: surface Green function, non-orthogonal 戻る: normal

use transfer matrix

$\displaystyle G_{n0}$	$\textstyle =$	$\displaystyle t_0 G_{n-1,0} + \tilde{t}_{0} G_{n+1,0}$	(180)
$\displaystyle t_0$	$\textstyle =$	$\displaystyle -(\omega S_{00}-H_{00})^{-1} (\omega S_{01}^{\dag }- H_{01}^\dag )$	(181)
$\displaystyle \tilde{t}_{0}$	$\textstyle =$	$\displaystyle -(\omega -H_{00})^{-1} (\omega S_{01}-H_{01})$	(182)

$\begin{displaymath} G_{10} = T G_{00} \end{displaymath}$

(183)

where $T=T_i\vert_{i\rightarrow\infty}$

$\displaystyle (\omega S_{00} -H_{00}) G_{00} +( \omega S_{01} -H_{01} ) T G_{00}$	$\textstyle =$	$\displaystyle I$	(184)
$\displaystyle G_{00}$	$\textstyle =$	$\displaystyle \{\omega S_{00} -H_{00} + (\omega S_{01} -H_{01})T \}^{-1}$	(185)

kino 平成18年4月17日