TY - JOUR KW - paper AU - Hannes Hübener AU - E Luppi AU - Valérie Véniard AB - An ab initio formalism for the calculation of macroscopic second order responses within the time dependent density functional theory (TDDFT) framework is presented. The linear Dyson-like equation of TDDFT is generalized to second order and the resulting microscopic response is related to the macroscopic non-linear susceptibility. The macroscopic relations are obtained considering Maxwell\textquoterights equations and the non-linear relation between the microscopic and macroscopic field. Some approximations have to be made to account for many body effects. The impact of the several levels of approximation on the second harmonic spectrum is illustrated for the example of bulk AlAs in the zincblende structure. (C) 2010 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim BT - PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS DA - AUG DO - 10.1002/pssb.200983954 M1 - 8 N1 - 8th International Conference on Optics of Surfaces and Interfaces (OSI-VIII), Ischia, ITALY, SEP 07-11, 2009 N2 - An ab initio formalism for the calculation of macroscopic second order responses within the time dependent density functional theory (TDDFT) framework is presented. The linear Dyson-like equation of TDDFT is generalized to second order and the resulting microscopic response is related to the macroscopic non-linear susceptibility. The macroscopic relations are obtained considering Maxwell\textquoterights equations and the non-linear relation between the microscopic and macroscopic field. Some approximations have to be made to account for many body effects. The impact of the several levels of approximation on the second harmonic spectrum is illustrated for the example of bulk AlAs in the zincblende structure. (C) 2010 WILEY-VCH Verlag GmbH \& Co. KGaA, Weinheim PY - 2010 SP - 1984 EP - 1991 T2 - PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS TI - Ab initio calculation of second harmonic generation in solids VL - 247 SN - 0370-1972 ER -