A deterministic solver for the transport of the AlGaN/GaN 2D electron gas including hot-phonon and degeneracy effects

A deterministic study of hot phonon effects in a 2D electron gas channel formed at an AlGaN/GaN heterointerface

“…Our simulations lead to a lower drift velocity when degeneracy is considered, which confirms with the results obtained in [12] and [11]. This can be explained as follows.…”

“…In order to evaluate the distribution function at the cell boundaries of B i j , we apply an upwind scheme with a MinMod slope limiter [19] F α The electron collision terms (11) for the elastic acoustic deformation and piezoelectric scattering read…”

“…However, deterministic methods constitutes an interesting alternative, since they provide noise-free results for the electron and phonon distribution and show high-efficiency when simulating transient regimes [10,11]. In this paper, we present a deterministic numerical scheme for solving the system of the coupled two-dimensional Boltzmann transport equations (BTE) describing the dynamics of the POPs and the electrons, which are distributed among several subbands.…”

A deterministic solver for a hybrid quantum-classical transport model in nanoMOSFETs

“…The semi-lagrangian scheme allows for larger time-stepping than the finite-difference method since there is no CFL condition while the finite-differences method is more accurate in time than the semi-lagrangian method. Other methods can be used for the transport/collision part as the multi-group methods proposed in [23,24].…”

“…(1)-(4). The advantages of fully deterministic schemes compared to Monte-Carlo solvers available can be summarized analogously to the case of semiclassical Boltzmann-Poisson solvers [12][13][14][23][24][25] as:…”