Orbital-free functional with sub-milliHartree errors for slabs

• URL: http://arxiv.org/abs/2304.11115v4
• Date: Tue, 20 Feb 2024 15:56:23 GMT
• Title: Orbital-free functional with sub-milliHartree errors for slabs
• Authors: Pavel Okun, Antonio C. Cancio, Kieron Burke
• Abstract summary: We derive the exact leading corrections to the Thomas-Fermi kinetic energy approximation for Kohn-Sham electrons for slabs. This expansion approximation includes crucial quantum oscillations missed by standard semilocal density functionals.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Using principles of asymptotic analysis, we derive the exact leading corrections to the Thomas-Fermi kinetic energy approximation for Kohn-Sham electrons for slabs. This asymptotic expansion approximation includes crucial quantum oscillations missed by standard semilocal density functionals. Because these account for the derivative discontinuity, chemical accuracy is achieved at fourth-order. The implications for both orbital-free electronic structure and exchange-correlation approximations are discussed.

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