Noise Calculation in the Semiclassical Framework: A Critical Analysis of the Monte Carlo Method and a Numerical Alternative

Noise modeling in the semiclassical framework of the Boltzmann transport equation (BTE) is analyzed. The usual approach to solve the BTE, the Monte Carlo method, is found to be prohibitively CPU intensive for technically relevant frequencies below 100GHz. A numerical alternative based on a spherical harmonics expansion of the BTE is presented, of which the CPU time does not depend on the frequency. In addition, this approach allows to solve the Langevin-type BTE, which gives more physical insight into noise. This is demonstrated for some relevant device applications.

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