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Explore the advanced concepts of Density Functional Theory (DFT) with Hubbard corrections in this 54-minute lecture from the Advanced Quantum ESPRESSO school. Delve into the basic concepts and applications of DFT+U and DFT+U+V, focusing on Hubbard and Koopmans functionals from linear response. Learn about cathode materials in Li batteries as a case study, and understand the contrast between band and localized pictures in the Hubbard model. Discover how the +U correction functions, its theoretical framework, and its impact on fractional occupations. Examine the linearization of energy in DFT+U, symmetry breaking, and localization effects. Gain valuable insights through take-home messages and explore potential postdoc opportunities in this field.
