Density Functional Theory for Band-Edge Electronic Structure Calculation
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This presentation offers a concise introduction to density functional theory as a practical quantum-mechanical framework for describing the electronic structure of solids. The main focus is on the conceptual foundations of DFT: the reformulation of the many-electron problem in terms of the electron density, the role of the Hohenberg–Kohn theorems, the Kohn–Sham construction, and the importance of exchange-correlation approximations in first-principles calculations. These ideas are then illustrated through an application to Ga-substituted α-Al₂O₃, used as an example of how DFT connects general theoretical principles with atomically resolved predictions for structure and band-edge behavior in complex oxide materials. The talk is intended to emphasize DFT both as a formalism and as a working computational tool for modern condensed-matter and materials research.