Overview
Syllabus
Intro
Outline
Density Functional Theory
Case study: cathode materials of Li batteries
LixCoPO4: e localization and energetics Assessing the oxidation state: total occupation of atomic d states of Co
Band vs localized pictures: the Hubbard model
DFT+U: general idea
DFT+U: correcting DFT with the Hubbard model
How does the +U correction work?
e-localization: defects
Fe minerals of the Earth's interior
Raman spectra from DFT+U
LiMnPO4: e localization and energetics
Localization and covalency: DFT+U+V
Band semiconductors: Si and GaAs
Band semiconductors: C, Si and Ge
DFT+U+V vs hybrids
Delocalization error
Static (strong) correlation error
Potential discontinuities
Localization in extended systems
DFT+U and the linearization of energy
Symmetry breaking and localization
Summary
Taught by
Materials Cloud