DFT+U single-particle eigenvalue gaps match fundamental gaps from total energy differences for perfect crystals but fail for defects and molecules, proven analytically for every published functional variant.
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Hubbard and Emery models produce similar physics for cuprates but differ quantitatively in spectra, transport, and doping-dependent features, with good experimental agreement when using stronger coupling in the Hubbard model.
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Validity of DFT+U band gaps in all its known functional forms
DFT+U single-particle eigenvalue gaps match fundamental gaps from total energy differences for perfect crystals but fail for defects and molecules, proven analytically for every published functional variant.
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Hubbard vs. Emery model: spectra, transport and relevance for cuprates
Hubbard and Emery models produce similar physics for cuprates but differ quantitatively in spectra, transport, and doping-dependent features, with good experimental agreement when using stronger coupling in the Hubbard model.