P. Giannozzi, S. D. Gironcoli, P. Pavone, and S. Baroni, calculation of phonon dispersions in semiconductors, Physical Review B, vol.34, issue.9, p.7231, 1991.
DOI : 10.1103/PhysRevB.34.7140

X. Gonze and C. Lee, Dynamical matrices, Born effective charges, dielectric permittivity tensors, and interatomic force constants from density-functional perturbation theory, Physical Review B, vol.66, issue.16, p.10355, 1991.
DOI : 10.1103/PhysRevLett.66.3265

M. Lazzeri, C. Attaccalite, L. Wirtz, and F. Mauri, Impact of the electron-electron correlation on phonon dispersion: Failure of LDA and GGA DFT functionals in graphene and graphite, Physical Review B, vol.227, issue.8, p.81406, 2008.
DOI : 10.1103/PhysRevLett.98.067005

C. Attaccalite, L. Wirtz, M. Lazzeri, F. Mauri, and A. Rubio, Doped Graphene as Tunable Electron???Phonon Coupling Material, Nano Letters, vol.10, issue.4, p.1172, 2010.
DOI : 10.1021/nl9034626
URL : https://hal.archives-ouvertes.fr/hal-00695022

M. Calandra, P. Zoccante, and F. Mauri, Universal Increase in the Superconducting Critical Temperature of Two-Dimensional Semiconductors at Low Doping by the Electron-Electron Interaction, Physical Review Letters, vol.114, issue.7, p.77001, 2015.
DOI : 10.1103/RevModPhys.54.437

C. Faber, J. L. Janssen, M. Côté, E. Runge, and X. Blase, approach, Physical Review B, vol.84, issue.15, p.155104, 2011.
DOI : 10.1103/PhysRevB.79.205106
URL : https://hal.archives-ouvertes.fr/hal-00983387

J. Laflamme-janssen, M. Côté, S. G. Louie, and M. L. Cohen, using hybrid functionals, Physical Review B, vol.37, issue.7, p.73106, 2010.
DOI : 10.1103/PhysRevB.78.081406

O. Gunawan, Y. P. Shkolnikov, K. Vakili, T. Gokmen, E. P. Poortere et al., Valley Susceptibility of an Interacting Two-Dimensional Electron System, Physical Review Letters, vol.97, issue.18, p.186404
DOI : 10.1103/PhysRevLett.95.066809

M. Marchi, S. De-palo, S. Moroni, and G. Senatore, Correlation energy and spin susceptibility of a two-valley two-dimensional electron gas, Physical Review B, vol.49, issue.3, p.35103, 2009.
DOI : 10.1103/PhysRevE.68.046707

S. Yamanaka, H. Kawaji, K. I. Hotehama, and M. Ohashi, A new layer-structured nitride superconductor. Lithium-intercalated ?-zirconium nitride chloride, LixZrNCl, Advanced Materials, vol.136, issue.9, p.771, 1996.
DOI : 10.1016/B978-0-12-747380-2.50023-7

T. Takano, T. Kishiume, Y. Taguchi, and Y. Iwasa, : Molecule) Superconductors, Physical Review Letters, vol.100, issue.24, p.247005, 2008.
DOI : 10.1103/PhysRevLett.98.136401

Y. Kasahara, T. Kishiume, K. Kobayashi, Y. Taguchi, and Y. , with variable interlayer spacing, Physical Review B, vol.82, issue.5, p.54504, 2010.
DOI : 10.1103/PhysRevB.81.104502

K. Akashi, R. Nakamura, M. Arita, and . Imada, Ti, Zr, Hf): Insights from density functional theory for superconductors, Physical Review B, vol.11, issue.5, p.54513, 2012.
DOI : 10.1103/PhysRevB.67.104502

M. Calandra, G. Profeta, and F. Mauri, Adiabatic and nonadiabatic phonon dispersion in a Wannier function approach, Physical Review B, vol.82, issue.16, p.165111, 2010.
DOI : 10.1103/PhysRevB.76.165122
URL : https://hal.archives-ouvertes.fr/hal-00652397

Y. Kasahara, T. Kishiume, T. Takano, K. Kobayashi, E. Matsuoka et al., Superconductor, Physical Review Letters, vol.103, issue.7, p.77004, 2009.
DOI : 10.1088/1468-6996/9/4/044202

. Mev, We set the unscreened pseudopotential for doped HfNCl (ZrNCl) at µ = 0, p.231

W. L. Mcmillan, Transition Temperature of Strong-Coupled Superconductors, Physical Review, vol.158, issue.2, p.331, 1968.
DOI : 10.1103/PhysRev.158.672

P. B. Allen and R. C. Dynes, Transition temperature of strong-coupled superconductors reanalyzed, Physical Review B, vol.69, issue.3, p.905, 1975.
DOI : 10.1016/0031-8914(73)90199-7