TY - JOUR
T1 - ALmost EXact boundary conditions for transient Schrödinger-Poisson system
AU - Bian, Lei
AU - Pang, Gang
AU - Tang, Shaoqiang
AU - Arnold, Anton
N1 - Publisher Copyright:
© 2016 Elsevier Inc.
PY - 2016/5/15
Y1 - 2016/5/15
N2 - For the Schrödinger-Poisson system, we propose an ALmost EXact (ALEX) boundary condition to treat accurately the numerical boundaries. Being local in both space and time, the ALEX boundary conditions are demonstrated to be effective in suppressing spurious numerical reflections. Together with the Crank-Nicolson scheme, we simulate a resonant tunneling diode. The algorithm produces numerical results in excellent agreement with those in Mennemann et al. [1], yet at a much reduced complexity. Primary peaks in wave function profile appear as a consequence of quantum resonance, and should be considered in selecting the cut-off wave number for numerical simulations.
AB - For the Schrödinger-Poisson system, we propose an ALmost EXact (ALEX) boundary condition to treat accurately the numerical boundaries. Being local in both space and time, the ALEX boundary conditions are demonstrated to be effective in suppressing spurious numerical reflections. Together with the Crank-Nicolson scheme, we simulate a resonant tunneling diode. The algorithm produces numerical results in excellent agreement with those in Mennemann et al. [1], yet at a much reduced complexity. Primary peaks in wave function profile appear as a consequence of quantum resonance, and should be considered in selecting the cut-off wave number for numerical simulations.
KW - ALEX boundary condition
KW - Primary peak
KW - Resonant tunneling diode
KW - Schrödinger-Poisson simulation
UR - https://www.scopus.com/pages/publications/84960950270
U2 - 10.1016/j.jcp.2016.02.025
DO - 10.1016/j.jcp.2016.02.025
M3 - 文章
AN - SCOPUS:84960950270
SN - 0021-9991
VL - 313
SP - 233
EP - 246
JO - Journal of Computational Physics
JF - Journal of Computational Physics
ER -