Plasmon-pole approximation for semiconductor quantum wire electrons

Physics – Condensed Matter

Scientific paper

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16 pages, RevTex, figures included. Also available at http://www-cmg.physics.umd.edu/~lzheng/

Scientific paper

10.1103/PhysRevB.54.8057

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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