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Intro
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Outline
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Density Functional Theory
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Case study: cathode materials of Li batteries
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LixCoPO4: e localization and energetics Assessing the oxidation state: total occupation of atomic d states of Co
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Band vs localized pictures: the Hubbard model
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DFT+U: general idea
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DFT+U: correcting DFT with the Hubbard model
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How does the +U correction work?
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e-localization: defects
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Fe minerals of the Earth's interior
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Raman spectra from DFT+U
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LiMnPO4: e localization and energetics
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Localization and covalency: DFT+U+V
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Band semiconductors: Si and GaAs
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Band semiconductors: C, Si and Ge
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DFT+U+V vs hybrids
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Delocalization error
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Static (strong) correlation error
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Potential discontinuities
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Localization in extended systems
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DFT+U and the linearization of energy
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Symmetry breaking and localization
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Summary
Description:
Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only! Grab it Explore the fundamental concepts and applications of DFT+U and DFT+U+V in this comprehensive tutorial video from the Advanced Quantum ESPRESSO series. Delve into Density Functional Theory and its applications in studying cathode materials for Li batteries, focusing on LixCoPO4 and electron localization. Examine the Hubbard model, understand how the +U correction works in DFT, and investigate its effects on defects and Fe minerals in Earth's interior. Learn about Raman spectra calculations using DFT+U and explore electron localization in LiMnPO4. Compare DFT+U+V with hybrid functionals for band semiconductors like Si, GaAs, and Ge. Address challenges such as delocalization error, static correlation error, and potential discontinuities in extended systems. Gain insights into symmetry breaking, localization, and the linearization of energy in DFT+U calculations.

DFT+U and DFT+U+V: Basic Concepts and Applications - Advanced Quantum ESPRESSO Tutorial 2022

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