My Research activity is mainly based on the theoretical study, via the state-of-the-art of numerical methods, of electronic properties of real materials. I am particularly interested in the study of the limits of actual approaches and approximations, in order to propose solutions to go towards a better comprehension and description of the physics of the studied system. Several research lines are currently investigated:
My group, whose activity mainly concerns theoretical and numerical developements of excitonic effects in varied spectroscopies, is today composed of 2 PhD students, Abdallah El-Sahili and Alam Osorio (in co-supervision with Lucia), and 1 post-doc, Laura Urquiza (in co-supervision with Matteo).
An important part of my activity is also devoted to code developments. I am the coordinator of the ab initio codes DP (linear response TDDFT code) and EXC (Bethe-Salpeter equation code).
We present an ab initio study of neutral core and valence electronic excitations in alpha-Al2O3 by solving the Bethe-Salpeter equation (BSE) of many-body perturbation theory within an all-electron framework. Calculated spectra at the Al K and L1 edges are in remarkable agreement with available experiments from x-ray absorption (XAS) and x-ray Raman spectroscopy once excitonic effects are taken into account. The combination of the BSE spectra for the two techniques confirms the dipole-forbidden nature of the exciton prepeak as suggested by recent calculations based on density-functional theory. Moreover, we make predictions for resonant inelastic x-ray scattering (RIXS) spectra at K and L1 edges, which strikingly fully overlap also beyond an independent-particle picture. The RIXS calculations reveal two distinct regimes as a function of incoming photon energy. Below and at the XAS threshold, we observe Raman-like features, characterized by strong excitonic effects, which we directly compare to peaks in the loss function. Above the XAS threshold, instead, fluorescence features become predominant: RIXS spectra can be well described and analyzed within an independent-particle approximation showing similarity with the x-ray emission spectrum.
The total energy and electron addition and removal spectra can, in principle, be obtained exactly from the one-body Green's function (GF). In practice, the GF is obtained from an approximate self-energy. In the framework of many-body perturbation theory, we derive different expressions that are based on an approximate self-energy, but that yield nevertheless, in principle, the exact exchange-correlation contribution to the total energy for any interaction strength. Response functions play a crucial role, which explains why, for example, ingredients from time-dependent density functional theory can be used to build these approximate self-energies. We show that the key requirement for obtaining exact results is the consistent combination of ingredients. Also when further approximations are made, as it is necessary in practice, this consistency remains the key to obtain good results. All findings are illustrated using the exactly solvable symmetric Hubbard dimer.
All articles available here.
Organizer of 21 international schools and tutorials. They can be divided in several different types of events:
Material for a more general audience.