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Plasmon-pole approximation for semiconductor quantum wire electrons

S. Das Sarma·E. H. Hwang·Lian Zheng
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Abstract

We develop the plasmon-pole approximation for an interacting electron gas confined in a semiconductor quantum wire. We argue that the plasmon-pole approximation becomes a more accurate approach in quantum wire systems than in higher dimensional systems because of severe phase-space restrictions on particle-hole excitations in one dimension. As examples, we use the plasmon-pole approximation to calculate the electron self-energy due to the Coulomb interaction and the hot-electron energy relaxation rate due to LO-phonon emission in GaAs quantum wires. We find that the plasmon-pole approximation works extremely well as compared with more complete many-body calculations.

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S. Das Sarma, E. H. Hwang, Lian Zheng. 1996-05-27. Plasmon-pole approximation for semiconductor quantum wire electrons. https://doi.org/10.1103/physrevb.54.8057

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