Quasiparticle energies and fundamental band gaps in particular are critical properties of molecules and materials. It was rigorously established that the generalized Kohn-Sham HOMO and LUMO orbital energies are the chemical potentials of electron removal and addition and thus good approximations to band edges and fundamental gaps from a density functional approximation (DFA) with minimal delocalization error. For other quasiparticle energies, their connection to the generalized Kohn-Sham orbital energies has not been established but remains highly interesting. We provide the comparison of experimental quasiparticle energies for many finite systems with calculations from the GW Green's function and localized orbitals scaling correction (LOSC), a recently developed correction to semilocal DFAs, which has minimal delocalization error. Extensive results with over forty systems clearly show that LOSC orbital energies achieve slightly better accuracy than the GW calculations with little dependence on the semilocal DFA, supporting the use of LOSC DFA orbital energies to predict quasiparticle energies. This also leads to the calculations of excitation energies of the N -electron systems from the ground state DFA calculations of the (N − 1)-electron systems. Results show good performance with accuracy similar to TDDFT and the delta SCF approach for valence excitations with commonly used DFAs with or without LOSC. For Rydberg states, good accuracy was obtained only with the use of LOSC DFA. This work highlights the pathway to quasiparticle and excitation energies from ground density functional calculations.
2Graphical TOC EntryQuasiparticles are a powerful concept in electronic structure theory of many-electron systems. In particular, accurate prediction of quasiparticle energies is essential for interpreting the electronic excitation spectra of molecules and materials, such as photoemission and optical experiments. Formally, quasiparticle energies can be exactly formulated in many-body perturbation theory. 1-3 In practice, the GW approximation 4-7 is most widely used for bulk simulations. Unfortunately, GW calculations are still expensive computationally. Therefore, a low-cost alternative to GW approximation that offers good accuracy for the prediction of quasiparticle energies is critical to the calculations of large-scale systems, and for efficient high throughput study of materials.Kohn-Sham (KS) density functional theory (DFT), 8-10 due to its good balance between accuracy and computational tractability, is among the most popular and versatile methods available for many-electron problems. In addition to the total electron energy, the physical interpretation of the KS eigenvalues has also attracted great interest. It has been known for decades that among the KS eigenvalues obtained from the exact functional, the highest occupied molecular orbital (HOMO) energy, ε HOMO , is negative vertical ionization potential (VIP), −I. [10][11][12][13][14][15][16][17] In 2008, it was rigorously proven 18,19 that within the generaliz...