Correlation energy of 2-D electrons

✍ Scribed by A Isihara; T Toyoda

• Publisher: Elsevier Science
• Year: 1977
• Tongue: English
• Weight: 570 KB
• Volume: 106
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(77)90316-5

✦ Synopsis

The correlation energy and the Fermi momentum of an electron gas in 2-D are evaluated explicitly as functions of density, The ring diagram and first-and second-order exchange contributions are treated. In comparison with the 3-D case, the kinetic energy for the same I',< is approximately one-half and the exchange and correlation energies are somewhat larger. The ground state energy plotted against r, shows a minimum at around r, = 1.65 with a minimum value of -0.9858 Ryd. If the third-order ring contribution is added, the curve is shifted upward. The correlation energy is -0.6258 to order e4. The third-order ringw contribution increases this value almost linearly with r, . The Fermi momentum decreases with rfi due to the contribution. Different from the 3-D case, no In I', term appears in the correlation energy within the approximation.