scholarly journals Application of a Coulomb energy density functional for atomic nuclei: Case studies of local density approximation and generalized gradient approximation

2018 ◽  
Vol 97 (4) ◽  
Author(s):  
Tomoya Naito ◽  
Ryosuke Akashi ◽  
Haozhao Liang
Keyword(s):  
Energy Density ◽  
Local Density Approximation ◽  
Density Functional ◽  
Local Density ◽  
Coulomb Energy ◽  
Density Approximation ◽  
Generalized Gradient ◽  
Energy Density Functional ◽  
Generalized Gradient Approximation ◽  
Atomic Nuclei

scholarly journals SUPERFLUID LDA (SLDA): LOCAL DENSITY APPROXIMATION FOR SYSTEMS WITH SUPERFLUID CORRELATIONS

2004 ◽  
Vol 13 (01) ◽  
pp. 147-156 ◽  
Author(s):  
AUREL BULGAC ◽  
YONGLE YU
Keyword(s):  
Energy Density ◽  
Local Density Approximation ◽  
Density Functional ◽  
Local Density ◽  
Density Approximation ◽  
Energy Density Functional ◽  
Fermionic Systems ◽  
Nuclear Systems

We present a concise account of our development of the first genuine Local Density Approximation (LDA) to the Energy Density Functional (EDF) for fermionic systems with superfluid correlations, with a particular emphasis to nuclear systems.

A Comparative Study of the Influence of the Local Density Approximation and the Generalized Gradient Approximation on the Calculated Properties of the III-Nitride (110) Surfaces

2000 ◽  
Vol 639 ◽  
Author(s):  
H. W. Leite Alves ◽  
J. L. A. Alves ◽  
R. A. Nogueira ◽  
J. R. Leite
Keyword(s):  
Local Density Approximation ◽  
Density Functional ◽  
Local Density ◽  
Structural Parameters ◽  
Full Potential ◽  
Density Approximation ◽  
Generalized Gradient ◽  
Generalized Gradient Approximation ◽  
The Density Functional Theory ◽  
Supercell Model

ABSTRACTWe present a systematic theoretical study of several III-nitride (110) surfaces based on accurate parameter-free, self-consistent total energy and force calculations using the density functional theory, the local density approximation (LDA), as parametrized by Perdew and Zunger, and the generalized gradient approximation (GGA), as proposed by Perdew, Burke, and Ernzerhof, for the exchange-correlation term; we use the Full Potential Linear Augmented Plane Wave (FPLAPW) approach (WIEN-97 code) associated with the slab supercell model to simulate the (110) surface. We studied BN, AlN, GaN, InN and compared the theoretical results as related to the use of the LDA and the GGA. We conclude that although the results for both approximations are similar, differences in structural parameters may be as large as 10%.

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