Smooth quantum hydrodynamic (QHD) model simulations of the current-voltage of a resonant tunneling diode at 300 K are compared with that predicted by the mixed-state Schrödinger equation approach. Although the resonant peak for the QHD simulation occurs at 0.15 V instead of the Schrödinger equation value of 0.2 V, there is good qualitative agreement between the current-voltage curves for the two models, including the predicted peak current values.
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Abdallah, N. B., Pinaud, O., Gardner, C. L., & Ringhofer, C. (2002). A comparison of resonant tunneling based on Schrödinger’s equation and quantum hydrodynamics. VLSI Design, 15(4), 695–700. https://doi.org/10.1080/106551402100012309