On the ground state energy of a two-dimensional electron fluid |
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Authors: | Liderio C Ioriatti Jr A Isihara |
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Institution: | 1. Department of Physics and Astronomy, State University of New York at Buffalo, 14260, Buffalo, New York, USA
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Abstract: | A new theory of the ground state energy of a two-dimensional electron fluid is presented. It is shown that the ring diagram contribution changes its analytical behavior atr s =21/2, wherer s is the usual density parameter defined by rS = 1/a 0(π n)1/2,a 0 being the Bohr radius andn is the electron density. For smallr s , a high density series is obtained in agreement with the previous calculation. For larger s , a hitherto unknown low density series is obtained. In the low density region, the first order exchange energy is completely cancelled out by a term from the ring contribution so that the ground state energy decreases in proportion tor s ?2/3 , followed byr s /?4/3 and higher order terms. The energy is found to be minimum atr s=1.4757, the minimum value being ?0.481915 Rydbergs. |
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