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2002•VLSI designOpen access

A Comparison of Resonant Tunneling Based on Schrödinger′s Equation and Quantum Hydrodynamics

Naoufel Ben Abdallah, Olivier Pinaud, Carl L. Gardner, Christian A. Ringhofer

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Abstract

Smooth quantum hydrodynamic (QHD) model simulations of the current–voltage curve of a resonant tunneling diode at 300K are compared with that predicted by the mixed‐state Schrödinger equation approach. Although the resonant peak for the QHD simulation occurs at 0.15V instead of the Schrödinger equation value of 0.2V, there is good qualitative agreement between the current–voltage curves for the two models, including the predicted peak current values.

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Smooth quantum hydrodynamic (QHD) model simulations of the current–voltage curve of a resonant tunneling diode at 300K are compared with that predicted by the mixed‐state Schrödinger equation approach. Although the resonant peak for the QHD simulation occurs at 0.15V instead of the Schrödinger equation value of 0.2V, there is good qualitative agreement between the current–voltage curves for the two models, including the predicted peak current values.

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Available abstract

Smooth quantum hydrodynamic (QHD) model simulations of the current–voltage curve of a resonant tunneling diode at 300K are compared with that predicted by the mixed‐state Schrödinger equation approach. Although the resonant peak for the QHD simulation occurs at 0.15V instead of the Schrödinger equation value of 0.2V, there is good qualitative agreement between the current–voltage curves for the two models, including the predicted peak current values.

Key concepts: Quantum tunnelling, Resonant-tunneling diode, Current (fluid), Physics, Schrödinger equation, Diode, Quantum, Voltage

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