Abstract

One major concern of channel engineering in nanotransistors is the coupling of the conduction channel to the source/drain contacts. In a number of previous publications, we have developed a semiempirical quantum model in quantitative agreement with three series of experimental transistors. On the basis of this model, an overlap parameter 0 ≤ C ≤ 1 can be defined as a criterion for the quality of the contact-to-channel coupling: A high level of C means good matching between the wave functions in the source/drain and in the conduction channel associated with a low contact-to-channel reflection. We show that a high level of C leads to a high saturation current in the ON-state and a large slope of the transfer characteristic in the OFF-state. Furthermore, relevant for future device miniaturization, we analyze the contribution of the tunneling current to the total drain current. It is seen for a device with a gate length of 26 nm that for all gate voltages, the share of the tunneling current becomes small for small drain voltages. With increasing drain voltage, the contribution of the tunneling current grows considerably showing Fowler–Nordheim oscillations. In the ON-state, the classically allowed current remains dominant for large drain voltages. In the OFF-state, the tunneling current becomes dominant.

Highlights

  • IntroductionTransistors in integrated circuits are projected with channel lengths below 10 nm

  • At this time, transistors in integrated circuits are projected with channel lengths below 10 nm.At this length scale quantum transport plays a substantial role

  • Microscopic modeling of the drain current of such a nanotransistor requires the evaluation of the wave functions of the charge carriers [1,2,3,4,5,6,7,8,9,10] or the evaluation of Greens functions [11,12,13,14,15,16,17,18,19,20,21,22]

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Summary

Introduction

Transistors in integrated circuits are projected with channel lengths below 10 nm. Assuming a piecewise linear potential, the effective model can be formulated in a scale-invariant form using only five dimensionless transistor parameters [38]. These transistor parameters describe the height of the source-drain barrier, the device temperature, the channel length and the applied drain voltage. The magnitude of the saturation current turns out to be strongly influenced by the magnitude of a characteristic jump in the overlap parameter occurring at the threshold voltage. This jump is pronounced for short channel devices and for low temperatures. In the OFF-state, the drain current becomes nearly entirely a tunneling current for large drain voltages

Scale-Invariant Drain Current
Calibration of the System Parameters
Experimental and Theoretical Output Characteristic
The Calibration Functions for Barrier Height and Device Temperature
Tunneling Current
Findings
Conclusions for Channel Engineering

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