Temperature dependence of the Hartree-Fock approximation in two dimensions

Journal Article · Fri Sep 15 00:00:00 EDT 1995 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.52.7860· OSTI ID:115879

Hong, S ^[1]; Mahan, G D ^[2]

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1. Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104 (United States)
2. Department of Physics and Astronomy, University of Tennessee Knoxville, Tennessee 37996 (United States)

The Hartree-Fock (HF) exchange energy of the two-dimensional electron gas is calculated at nonzero temperatures. The calculation is done self-consistently in that the HF self-energy is included self-consistently in the Fermi-Dirac functions. We also calculate the first and second derivatives of the exchange energy with respect to density, which are useful for density-functional calculations at nonzero temperatures. These calculations may be useful in understanding the temperature dependence of two-dimensional systems such as electrons trapped two dimensionally in semiconductor interfaces.

• OSTI ID: 115879
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 11 Vol. 52; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ELECTRON GAS
ENERGY
EXCHANGE INTERACTIONS
HARTREE-FOCK METHOD
TEMPERATURE DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS