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Electronic Structure Theory The last few years Research Fields Many-body Physics of Electrons O. Cramariuc: PhD Thesis (2006) § Quantum dynamics of light–matter interaction § Development of Quantum Monte Carlo approach § Development of Density Functional Theory § Finite temperature quantum statistics H-P. Komsa: PhD Thesis (2008) Materials Physics and Chemistry § Compound semiconductors: bulk defects, surfaces, interfaces, nanostructures § Organic materials, photoabsorption, electron transfer, nanostructures § Finite temperature Quantum Chemistry SiO2 M. Leino: PhD Thesis (2007) I. Kylänpää: PhD Thesis (2011) M. Mäki-Jaskari: PhD Thesis (2004) M. Viitala: PhD Thesis (2012) The Present and The Challenges Electronic structure is the basic concept behind structure and properties of matter! Ground State and Excited States Eigenvalue Problem Quantum Statistics § At zero-Kelvin § Feynman path-integral approach § Hartree–Fock, CI, MCHF § Density Functional Theory(DFT – ”the work horse”) Explicit Time Propagation § At zero-Kelvin § Time-Dependent DFT (TDDFT) Robust Solution to the Semiconductor BAND GAP PROBLEM § Evaluation of the missing discontinuity: Total (solid curve), LDA–KS (square) and GGA-KS (circle)compared with the experimental (star). § Further work ongoing www.tut.fi/semiphys Temperature or Time Dependent States Applications with DFT Surface physics and chemistry § Adsorption of small and aromatic molecules § Adsorbate (quantum) dynamics § Van der Waals interaction § Magnetic defects Compound semiconductor physics § Surface and interface electronic structure: bands and charge carriers § X-STM image simulation § Defect structure and (formation) energies § Optical properties (light–matter interaction) ω Path Integral Monte Carlo (PIMC) § Explicitly temperature dependent NVT-ensemble simulation § Full account of electronic correlations § Allows model and calculations beyond Born–Oppenheimer approximation, i.e., potential energy surface (PES) § Accepting the challenge of FERMION SIGN PROBLEM ! T>0 Ab Initio Quantum Chemistry Small molecules and atoms H2+H+ H2++H, so far § H2+, He, H–, H2, Ps2, H3+ § Finite temperature included § Exact correlation, nodal surfaces for exchange Continuous/periodic systems § Two-component Fermi sea: e– p+, e– e+ § LDA type correlation functional for the above Ab initio chemical reactions § Dissociation–recombination in thermal equilibr. § Model for on or beyond BO-PES § Work for time dependence in progress § Fundamental issues in classical to quantum transition: decoherence