J. Schäfer, M. Hoinkis, E. Rotenberg, P. Blaha, and R. Claessen, Phys. Rev. B, vol.72, p.155115, 2005.

J. Callaway and C. S. Wang, Phys. Rev. B, vol.16, p.2095, 1977.

J. Sánchez-barriga, J. Fink, V. Boni, I. D. Marco, J. Braun et al., Phys. Rev. Lett, vol.103, p.267203, 2009.

A. L. Walter, J. D. Riley, and O. Rader, New J. Phys, vol.12, p.13007, 2010.

L. Hedin, J. Phys.: Condens. Matter, vol.11, p.489, 1999.

T. Kotani, M. Van-schilfgaarde, and S. V. Faleev, Phys. Rev. B, vol.76, p.165106, 2007.

S. Ismail-beigi,

M. Methfessel, M. Van-schilfgaarde, and R. A. Casali, Electronic Structure and Physical Properties of Solids: The Uses of the LMTO Method, Lecture Notes in Physics, vol.535, 2000.

D. R. Baraff, Phys. Rev. B, vol.8, p.3439, 1973.

A. Gold, J. Low Temp. Phys, vol.16, p.3, 1974.

A. Santoni and F. J. Himpsel, Phys. Rev. B, vol.43, p.1305, 1991.

J. Pendry, Surface Science, vol.57, p.679, 1976.

R. Matzdorf, Surf. Sci. Rep, vol.30, p.153, 1998.

V. N. Strocov, J. Elec. Spect. Rel. Phenomena, vol.130, p.65, 2003.

V. N. Strocov, R. Claessen, G. Nicolay, S. Hüfner, A. Kimura et al., Phys. Rev. Lett, vol.81, p.4943, 1998.

P. J. Feibelman and D. Eastman, Phys. Rev. B, vol.10, p.4932, 1974.

S. Tanuma, C. J. Powell, and D. R. Penn, Surf. Interface Anal, vol.21, p.165, 1994.

A. V. Gold, L. Hodges, P. T. Panousis, and D. R. Stone, Intern. J. Magn, vol.2, p.357, 1971.

G. G. Lonzarich, Electrons at the Fermi Surface, 1980.

, for further details on the electron-phonon coupling model and on the QSGW+DMFT implementation and application to Fe and Ni

N. W. Ashcroft and D. Mermin, Solid State Physics, 1976.

K. D. Belashchenko, V. P. Antropov, and N. E. Zein, Phys. Rev. B, vol.73, p.73105, 2006.

F. J. Himpsel, J. A. Knapp, and D. E. Eastman, Phys. Rev. B, vol.19, p.2919, 1979.

K. Karlsson and F. Aryasetiawan, Phys. Rev. B, vol.62, p.3006, 2000.

I. I. Mazin, D. J. Singh, and A. Aguayo, Physics of Spin in Solids: Materials, Methods and Applications, 2004.

M. Shimizu, Rep. Prog. Phys, vol.44, p.329, 1981.

W. Eberhardt and E. W. Plummer, Phys. Rev. B, vol.21, p.3245, 1980.

S. Biermann, F. Aryasetiawan, and A. Georges, The main accomplishment of this work was to reproduce within GW+DMFT the satellite at ? ? 6 eV, Phys. Rev. Lett, vol.90, p.86402, 2003.

K. Haule, C. H. Yee, and K. Kim, Phys. Rev. B, vol.81, p.195107, 2010.

P. Werner, A. Comanac, L. De-medici, M. Troyer, and A. J. Millis, Phys. Rev. Lett, vol.97, p.76405, 2006.

K. Haule, Phys. Rev. B, vol.75, p.155113, 2007.

S. Choi, A. Kutepov, K. Haule, M. Van-schilfgaarde, and G. Kotliar, npj Quantum Mater, vol.1, p.16001, 2016.

T. Kotani, M. Van-schilfgaarde, and S. Faleev, Phys. Rev. B, vol.76, p.165106, 2007.

S. Ismail-beigi, , 2014.

A. L. Walter, J. D. Riley, and O. Rader, New J. Phys, vol.12, p.13007, 2010.

N. W. Ashcroft and D. Mermin, Solid State Physics, 1976.

K. Haule, C. Yee, and K. Kim, Phys. Rev. B, vol.81, p.195107, 2010.

P. Werner, A. Comanac, L. De-medici, M. Troyer, and A. J. Millis, Phys. Rev. Lett, vol.97, p.76405, 2006.

K. Haule, Phys. Rev. B, vol.75, p.155113, 2007.

M. Methfessel, M. Van-schilfgaarde, and R. A. Casali, Electronic Structure and Physical Properties of Solids: The Uses of the LMTO method, Lecture Notes in Physics, vol.535, 2000.

J. E. Gubernatis, M. Jarrel, R. N. Silver, and D. S. Sivia, Phys. Rev. B, vol.44, p.6011, 1991.

S. Choi, A. Kutepov, K. Haule, M. Van-schilfgaarde, and G. Kotliar, npj Quantum Materials, vol.1, p.16001, 2016.

M. Wang, C. Zhang, X. Lu, G. Tan, H. Luo et al., Nature Communications, vol.4, p.2874, 2013.