TY - JOUR KW - paper KW - TDDFT AU - Francesco Sottile AU - Olevano V AU - Lucia Reining AB - We have established and implemented a fully ab initio method which allows one to calculate optical absorption spectra, including excitonic effects, without solving the cumbersome Bethe-Salpeter equation, but obtaining results of the same precision. This breakthrough has been achieved in the framework of time-dependent density-functional theory, using new exchange-correlation kernels f(xc) that are free of any empirical parameter. We show that the same excitonic effects in the optical spectra can be reproduced through different f(xc)\textquoterights, ranging from frequency-dependent ones to a static one, by varying the kernel\textquoterights spatial degrees of freedom. This indicates that the key quantity is not f(xc), but f(xc) combined with a response function. We present results for the optical absorption of bulk Si and SiC in good agreement with experiment, almost indistinguishable from those of the Bethe-Salpeter approach. BT - Phys. Rev. Lett. CY - ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA DA - AUG 1 DO - 10.1103/PhysRevLett.91.056402 M1 - 5 N2 - We have established and implemented a fully ab initio method which allows one to calculate optical absorption spectra, including excitonic effects, without solving the cumbersome Bethe-Salpeter equation, but obtaining results of the same precision. This breakthrough has been achieved in the framework of time-dependent density-functional theory, using new exchange-correlation kernels f(xc) that are free of any empirical parameter. We show that the same excitonic effects in the optical spectra can be reproduced through different f(xc)\textquoterights, ranging from frequency-dependent ones to a static one, by varying the kernel\textquoterights spatial degrees of freedom. This indicates that the key quantity is not f(xc), but f(xc) combined with a response function. We present results for the optical absorption of bulk Si and SiC in good agreement with experiment, almost indistinguishable from those of the Bethe-Salpeter approach. PB - AMERICAN PHYSICAL SOC PP - ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA PY - 2003 EP - 056402 T2 - Phys. Rev. Lett. TI - Parameter-free calculation of response functions in time-dependent density-functional theory UR - http://dx.doi.org/10.1103/PhysRevLett.91.056402 VL - 91 ER -