Lattice dynamics including anharmonicity
The evaluation of thermal effects is a long standing issue in solid state physics. If most of usual effects can be taken into account in the framework of harmonic or quasi-harmonic approximation (QHA), some strong or subtle explicit effects cannot be described without a treatment going beyond the QHA approach. Since
the beginning of the 60's, several microscopic formalisms has been proposed and, during the last ten years, a few computational methods has been developed in order to include the calculation of intrinsic thermal effects. One of them, named
"Temperature Dependent Effective Potential" (TDEP), has been proposed by O. Hellman al.  and is able to capture such anharmonic effects. More recently, we have performed an implementation of this method in the ab initio package Abinit .
In this talk, we show how a-TDEP can produce a large panel of thermodynamic quantities including explicit thermal effects, starting from a single ab initio molecular dynamic trajectory : phonon spectra, free energy, specifc heat, elastic constants and moduli, Gruneisen parameter, thermal expansion, sound velocities... In particular, we will focus on the 2nd, 3rd, 4th... order Interatomic Force Constants (IFC), which are the key ingredients behind all these thermodynamic quantities. At last, we present some representative applications of a-TDEP (Ti, U, Si, Zr, Fe, MgO, Pu...) , and highlight how the strong anharmonicity alters
their thermodynamic properties.
 O. Hellman, I.A. Abrikosov, S.I. Simak, Phys. Rev. B 84, 180301(R) (2011); O. Hellman, I.A. Abrikosov, Phys. Rev. B 88, 144301 (2013).
 J. Bouchet and F. Bottin, Phys. Rev. B 92, 174108 (2015).
 A. Dewaele, V. Stutzmann, J. Bouchet, F. Bottin, F. Occelli, M. Mezouar, Phys. Rev. B 91, 134108 (2015); J. Bouchet, F. Bottin, Phys. Rev. B 95, 054113 (2017); B. Dorado, F. Bottin, J. Bouchet, Phys. Rev. B 95, 104303 (2017); J. Bouchet, F. Bottin, V. Recoules, F. Remus, G. Morard, R.M. Bolis, A. Benuzzi-Mounaix, Phys. Rev. B 99, 094113 (2019).
Mardi 21 Janvier 2020 - 13h00 - Amphithéâtre Clémence Royer, 1er étage du Bâtiment Jacqueline Ferrand, INSA Lyon