Computation of the Spectral Density of CurrentFluctuations in Bulk Silicon Based on the Solution of theBoltzmann Transport Equation

摘要

Numerical simulation results for the spectral density of noise due to current fluctuations arepresented. The mathematical framework is based on the interpretation of the equationsdescribing electron transport in the semiclassical transport model as stochastic differentialequations (SDE). Within this framework, it was previously shown that the autocovariancefunction of current fluctuations can be obtained from the transient solution of the Boltzmanntransport equation (BTE) with special initial conditions. The key aspect which differentiatesthis approach from other noise models is that this approach directly connects noise characteristicswith the physics of scattering in the semiclassical transport model and makes no additionalassumptions regarding the nature of noise. The solution of the BTE is based on theLegendre polynomial method. A numerical algorithm is presented for the solution of the transientBTE. Numerical results are in good agreement with Monte Carlo noise simulations forthe spectral density of current fluctuations in bulk silicon.