Vorticity expansion approximation of the exchange-correlation energy functional in current density functional theory

Physical Review B - Condensed Matter and Materials Physics Volume 74 Issue 19 Page 195122-1-195122-8 published_at 2006-11-22
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Title ( eng )
Vorticity expansion approximation of the exchange-correlation energy functional in current density functional theory
Creator
Higuchi Masahiko
Source Title
Physical Review B - Condensed Matter and Materials Physics
Volume 74
Issue 19
Start Page 195122-1
End Page 195122-8
Abstract
We 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.
Language
eng
Resource Type journal article
Publisher
American Physical Society
Date of Issued 2006-11-22
Rights
Copyright (c) 2006 American Physical Society.
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 1098-0121
[DOI] 10.1103/PhysRevB.74.195122
[NCID] AA11187113
[DOI] http://dx.doi.org/10.1103/PhysRevB.74.195122