find . -name \*.txt -type f -exec /Users/ruess/Downloads/pandoc-2.7.2/bin/pandoc -f mediawiki -t markdown -o {}.md {} \;
then replace all .txt.md files by .txt
and finally run git mv on all .txt files to convert to .md files

kkrsusc/theory.md

+###### KKRsusc program: Theory {#kkrsusc_program_theory}
+
+This page should give you a brief introduction to the theoretical
+background of the KKRsusc program. To find more details on the theory
+and a detailed description on the method follow these links:
+
+` * `[`S.`` ``Lounis`` ``et`` ``al.,`` ``Phys.`` ``Rev.`` ``Lett.`` ``105,`` ``187205`` ``(2010)`](http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.105.187205 "wikilink")\
+` * `[`S.`` ``Lounis`` ``et`` ``al.,`` ``Phys.`` ``Rev.`` ``B`` ``83,`` ``035109`` ``(2011)`](http://journals.aps.org/prb/abstract/10.1103/PhysRevB.83.035109 "wikilink")\
+` * `[`B.`` ``Schweflinghaus`` ``et`` ``al.,`` ``Phys.`` ``Rev.`` ``B`` ``89,`` ``235439`` ``(2014)`](http://journals.aps.org/prb/abstract/10.1103/PhysRevB.89.235439 "wikilink")
+
+##### Projected Green function {#projected_green_function}
+
+The Kohn-Sham (KS) Green function (GF) is the resolvent of the
+corresponding Hamiltonian, \$G\_{\\text{KS}}(E) = (E -
+\\mathcal{H}\_{\\text{KS}})\^{-1}\$. In the Korringa-Kohn-Rostoker Green
+function (KKR-GF) method, space is partitioned into nonoverlapping
+regions surrounding the atoms, labeled \$i\$. These regions are taken as
+spherical in the atomic sphere approximation (ASA), and the KS potential
+is also assumed to be spherical around each atom,
+\$V\^{\\text{KS}}\_i(r)\$, with \$r = \|\\vec{r}\\,\|\$ and \$\\hat{r} =
+\\vec{r}/r\$. Then the KS GF is expressed in terms of energy-dependent
+scattering solutions for each atomic potential,
+\$R\_{i\\ell}\^\\sigma(r;E)\\,Y\_{L}(\\hat{r})\$ and
+\$H\_{i\\ell}\^\\sigma(r;E)\\,Y\_{L}(\\hat{r})\$, which are products of
+radial functions and (real) spherical harmonics, for each spin \$\\sigma
+= \\;\\uparrow,\\,\\downarrow\$ and angular momentum \$L = (\\ell,m)\$.
+\$R\_{i\\ell}\^\\sigma(r;E)\$ is regular at the center of the ASA
+sphere, and \$H\_{i\\ell}\^\\sigma(r;E)\$ diverges there.
+
+The Korringa-Kohn-Rostoker Green function is given by \\begin{eqnarray}
+
+` G_{ij}^\sigma(\vec{r}\,,\vec{r}\,';E) &=& \sum_{LL'}Y_L(\hat{r}) \big(\sqrt{E}\,R_{i\ell}^\sigma(r_<;E)\,H_{i\ell}^\sigma(r_>;E)\delta_{ij}\delta_{LL'} \nonumber\\`\
+` &&\hspace{-4em} + R_{i\ell}^\sigma(r;E)\,G^{\sigma,\text{str}}_{iL,jL'}(E)\,R_{j\ell'}^\sigma(r';E)\big) Y_{L'}(\hat{r}') \; ,`
+
+\\end{eqnarray} where \$r\_\< = \\min(r,r\')\$ and \$r\_\> =
+\\max(r,r\')\$, and \$G\^{\\sigma,\\text{str}}\_{iL,jL\'}(E)\$ is the
+structural GF, describing backscattering effects.
+
+Near the Fermi energy (\$E\_\\text{F}\$) one may approximate
+\$R\_{i\\ell}\^\\sigma(r;E) \\approx
+R\_{i\\ell}\^\\sigma(r;E\_\\text{F})\$.
+
+##### Susceptibility
+
+#### Kohn-Sham susceptibility {#kohn_sham_susceptibility}
+
+The transverse magnetic Kohn-Sham susceptibility is given by
+\\begin{eqnarray}
+
+` \chi^{\sigma\bar{\sigma}}_{0,ij}(\vec{r}\,,\vec{r}\,';\omega)`\
+`   &=& -\frac{1}{\pi}\!\int^{E_\text{F}}\!\!\!\!\text{d}E \nonumber \\`\
+`   & & \hspace{-6em}\Big(G_{ij}^{\bar\sigma}(\vec{r}\,,\vec{r}\,';E+\omega+\mathrm{i} 0)\,\text{Im}\,G_{ji}^{\sigma}(\vec{r}\,',\vec{r}\,;E) + \text{Im}\,G_{ij}^{\bar\sigma}(\vec{r}\,,\vec{r}\,';E)\,G_{ji}^{\sigma}(\vec{r}\,',\vec{r}\,;E-\omega-\mathrm{i} 0)\Big) \, .`
+
+\\end{eqnarray}
+
+Here, \$\\chi\^{\\uparrow\\downarrow}\$ and
+\$\\chi\^{\\downarrow\\uparrow}\$ correspond to \$\\chi\^{+-}\$ and
+\$\\chi\^{-+}\$, respectively.
+
+#### Dyson-like equation {#dyson_like_equation}
+
+##### Electron Self-energy {#electron_self_energy}
+
+#### Dyson equation {#dyson_equation}
+
+Let us turn our attention to the Dyson equation for the GF, including
+the self-energy describing the coupling to the magnetic excitations:
+\\begin{eqnarray}
+
+` G_{ij}^\sigma(\vec{r}\,,\vec{r}\,';E)`\
+`   &=& G_{0,ij}^\sigma(\vec{r}\,,\vec{r}\,';E) + \sum_{pq}\!\int\!\!\text{d}\vec{r}_1\!\int\!\!\text{d}\vec{r}_2\; \times \nonumber\\`\
+`   & & \hspace{-6em}\times G_{0,ip}^\sigma(\vec{r}\,,\vec{r}_1;E)\,\Sigma_{pq}^\sigma(\vec{r}_1,\vec{r}_2;E)\,G_{qj}^\sigma(\vec{r}_2,\vec{r}\,';E) \; .`
+
+\\end{eqnarray}