Shot-noise in non-degenerate semiconductors with energy-dependent elastic scattering

Details Shot-noise in non-degenerate semiconductors with energy-dependent elastic scattering Shot-noise in non-degenerate semiconductors with energy-dependent elastic scattering

1999-07-02

arxiv.org/abs/cond-mat/9907027v1

Lect. Notes Phys. 547, 96 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages including 2 ps figures, requires lamuphys.sty, to appear in Proceedings of the XVI Sitges Conference (Lecture Notes in

Scientific paper

We investigate current fluctuations in non-degenerate semiconductors, on length scales intermediate between the elastic and inelastic mean free paths. The shot-noise power P is suppressed below the Poisson value P_{\rm Poisson}=2e\bar I (at mean current \bar I) by the Coulomb repulsion of the carriers. We consider a power-law dependence of the elastic scattering time \tau\propto\epsilon^{\alpha} on kinetic energy \epsilon and present an exact solution of the non-linear kinetic equations in the regime of space-charge limited conduction. The ratio P/P_{\rm Poisson} decreases from 0.38 to 0 in the range -1/2 < \alpha < 1.

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