2021-10-24T23:41:25Zhttps://soar-ir.repo.nii.ac.jp/oaioai:soar-ir.repo.nii.ac.jp:000117872021-09-02T06:11:40Z1169:1170Vorticity expansion approximation of the exchange-correlation energy functional in current density functional theoryHiguchi, KatsuhikoHiguchi, MasahikoWe propose the vorticity expansion approximation (VEA) formulas of the exchange and correlation energy functionals of the current density functional theory (CDFT). They have a form of the second-order expansion with respect to the vorticity. Expansion coefficients are determined by requiring them to satisfy exact relations that have been derived from scaling properties of exchange and correlation energy functionals. Resultant VEA formulas satisfy a larger number of exact relations than those of the local-density approximation of the CDFT. Due to the well-behaved forms, the VEA formulas can be in quite good agreement with the exchange and correlation energies of the homogeneous electron liquid under a uniform magnetic field.ArticlePHYSICAL REVIEW B. 74(19):195122 (2006)journal articleAMER PHYSICAL SOC2006-11application/pdfPHYSICAL REVIEW B19741951221098-0121AA11187113https://soar-ir.repo.nii.ac.jp/record/11787/files/PhysRevB.74.195122.pdfeng10.1103/PhysRevB.74.195122https://doi.org/10.1103/PhysRevB.74.195122Copyright © 2006 The American Physical Society