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arXiv · 0807.1976

Many-flavor electron gas approach to electron-hole drops

G. J. Conduit
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Abstract

A many-flavor electron gas (MFEG) is analyzed, such as could be found in a multi-valley semiconductor or semimetal. Using the re-derived polarizability for the MFEG an exact expression for the total energy of a uniform MFEG in the many-flavor approximation is found; the interacting energy per particle is shown to be -0.574447E_h a_0^3/4 m*^3/4 n^1/4 with E_h being the Hartree energy, a_0 Bohr radius, and m^* particle effective mass. The short characteristic length-scale of the MFEG motivates a local density approximation, allowing a gradient expansion in the energy density, and the expansion scheme is applied to electron-hole drops, finding a new form for the density profile and its surface scaling properties.

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G. J. Conduit. 2008-07-12. Many-flavor electron gas approach to electron-hole drops. https://doi.org/10.1103/physrevb.78.035111

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