Abstract
The very low-temperature thermal effective mass of para- and ferromagnetic electrons in a uniform two-dimensional (2D) layer is studied. Analytical and numerical results are used to define a partially regularized valid to logarithmic accuracy in the sense of Landau for the Hartree-Fock (H-F) approximation. The resulting H-F decreases linearly with the electron-disk radius . The effective mass including correlation is calculated via a physically transparent formula that uses a classical map of the 2D pair-distribution function (PDF) and the finite- exchange-correlation free energy . The PDFs of Gori-Giorgi et al. [Phys. Rev. B 70, 115102 (2004)] and a quantum analog of the potential of mean-force used in the statistical mechanics of classical fluids are invoked. Our results for fall well within the results from recent quantum Monte Carlo simulations at , and other results, none of them being a finite- approach.
- Received 17 May 2011
DOI:https://doi.org/10.1103/PhysRevB.84.155302
Published by the American Physical Society