When do machine-learned exchange-correlation improvements inherit into density-functional tight binding?

[2608.14875] When do machine-learned exchange-correlation improvements inherit into density-functional tight binding? Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Condensed Matter > Materials Science arXiv:2608.14875 (cond-mat) [Submitted on 14 Aug 2026] Title: When do machine-learned exchange-correlation improvements inherit into density-functional tight binding? Authors: Can Polat , Mustafa Kurban , Erchin Serpedin , Hasan Kurban View a PDF of the paper titled When do machine-learned exchange-correlation improvements inherit into density-functional tight binding?, by Can Polat and 3 other authors View PDF HTML (experimental) Abstract: Machine-learned exchange-correlation functionals correct band gaps at near-semilocal cost, while density-functional tight binding reaches the $10^3$-$10^6$-atom regime; combining them assumes that a better parent yields a better parameterization, but we show it does not. Current-generation functionals are orbital-dependent generalized Kohn-Sham operators, whereas the parameterization channel is built on a multiplicative potential, preventing exact representation. Using the transfer ratio, the surviving fraction of a parent-level change, we find anti-transfer: coherently negative ratios across four covalent semiconductors move the gap in the wrong direction, consistent with a molecular proxy and an r$^2$SCAN control. The minimal-basis overgap is dominated by the on-site convention rather than basis incompleteness; correcting the on-site block removes most of it, while one $d$-polarization shell closes a further $16$-$40%$, depending on the placement of the empty $d$ level, which no free-atom eigenvalue uniquely fixes. Occupied-manifold enhancements, ionic and closed-shell repulsive potentials, and rocksalt-oxide gaps inherit, whereas elemental and III-V covalent networks inherit neither gaps nor repulsive potentials and oxide networks inherit only the latter. We screen 23 elements and release the parameter sets, showing that the transfer ratio provides a cheap pre-test before any parameterization campaign. Subjects: Materials Science (cond-mat.mtrl-sci) ; Machine Learning (cs.LG); Chemical Physics (physics.chem-ph); Quantum Physics (quant-ph) Cite as: arXiv:2608.14875 [cond-mat.mtrl-sci] (or arXiv:2608.14875v1 [cond-mat.mtrl-sci] for this version) https://doi.org/10.48550/arXiv.2608.14875 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Can Polat [ view email ] [v1] Fri, 14 Aug 2026 20:30:22 UTC (903 KB) Full-text links: Access Paper: View a PDF of the paper titled When do machine-learned exchange-correlation improvements inherit into density-functional tight binding?, by Can Polat and 3 other authors View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.mtrl-sci < prev | next > new | recent | 2026-08 Change to browse by: cond-mat cs cs.LG physics physics.chem-ph quant-ph References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... 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