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<H1><A ID="SECTION000100000000000000000">
9 Bibliography</A>
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<P>

<UL>
<LI>Original idea and first implementation: 
S. Baroni, P. Giannozzi, and A. Testa, 
``Green’s-function approach to linear response in solids''
Phys. Rev. Lett.  <B>58</B>, 1861 (1987).
P. Giannozzi, S. de Gironcoli, P. Pavone, and S. Baroni,
``Ab initio calculation of phonon dispersions in semiconductors''
Phys. Rev. B <B>43</B>, 7231 (1991).

<P>
</LI>
<LI>NC, phonon in metals: 
S. de Gironcoli, 
``Lattice dynamics of metals from density-functional perturbation theory''
Phys. Rev. B <B>51</B>, 6773 (1995).

<P>
</LI>
<LI>General overview of DFPT: 
S. Baroni, S. de Gironcoli, A. Dal Corso, and P. Giannozzi
``Phonons and related properties of extended systems from density
functional perturbation theory'', Rev. Mod. Phys. <B>73</B>, 515 (2001).

<P>
</LI>
<LI>NC, Raman tensor:
Michele Lazzeri and Francesco Mauri,
``High-order density-matrix perturbation theory''
Phys. Rev. B <B>68</B>, 161101 (2003).

<P>
</LI>
<LI>GGA dynamical matrix:
F. Favot and A. Dal Corso,
``Phonon dispersions: Performance of the GGA approximation'',
Phys. Rev. B. <B>60</B>, 11427 (1999).

<P>
</LI>
<LI>LSDA, spin-GGA dynamical matrix:
A. Dal Corso and S. de Gironcoli,
 ``<I>Ab-initio</I> phonon dispersions of Fe and Ni'',
Phys. Rev. B <B>62</B>, 273 (2000).

<P>
</LI>
<LI>US-PPs dynamical matrix:
A. Dal Corso
``Density functional perturbation theory with ultrasoft pseudopotentials'',
Phys. Rev. B <B>64</B>, 235118 (2001).

<P>
</LI>
<LI>US-PPs dielectric constant:
J. Tóbik and A. Dal Corso,
``Electric fields with ultrasoft pseudo-potentials: applications to
benzene and anthracene'', Jour. of Chem. Phys. <B>120</B>, 9934 (2004).

<P>
</LI>
<LI>US-PPs + spin-orbit dynamical matrix:
A. Dal Corso, ``Density functional perturbation theory for lattice
dynamics with fully relativistic ultrasoft pseudopotentials: application
to fcc-Pt and fcc-Au'', Phys. Rev. B <B>76</B>, 054308 (2007).

<P>
</LI>
<LI>PAW dynamical matrix:
A. Dal Corso,
``Density functional perturbation theory within the projector augmented wave
method'', Phys. Rev. B <B>81</B>, 075123 (2010).

<P>
</LI>
<LI>NC, Electron-phonon interaction:
F. Mauri, O. Zakharov, S. de Gironcoli, S. G. Louie, and M. L. Cohen,
``Phonon Softening and Superconductivity in Tellurium under Pressure''
Phys. Rev. Lett. <B>77</B>, 1151 (1996).

<P>
</LI>
<LI>US-PPs, Electron-phonon interaction:
M. Wierzbowska, S. de Gironcoli, P. Giannozzi,
``Origins of low- and high-pressure discontinuities of <I>T</I><SUB>c</SUB> in niobium''
arXiv:cond-mat/0504077.

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