We present a self-consistent one-dimensional (1D) quantum transport simulatorbased on the Contact Block Reduction (CBR) method, aiming for very fast androbust transport simulation of 1D quantum devices. Applying the general CBRapproach to 1D open systems results in a set of very simple equations that arederived and given in detail for the first time. The charge self-consistency ofthe coupled CBR-Poisson equations is achieved by using the predictor-correctoriteration scheme with the optional Anderson acceleration. In addition, weintroduce a new way to convert an equilibrium electrostatic barrier potentialcalculated from an external simulator to an effective doping profile, which isthen used by the CBR-Poisson code for transport simulation of the barrier undernon-zero biases. The code has been applied to simulate the quantum transport ina double barrier structure and across a tunnel barrier in a silicon doublequantum dot. Extremely fast self-consistent 1D simulations of the differentialconductance across a tunnel barrier in the quantum dot show better qualitativeagreement with experiment than non-self-consistent simulations.
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