Quan tized Con duc tance in Nanocontacts

2/20/03


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Table of Contents

Quan tized Con duc tance in Nanocontacts

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Overview

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Conductivity

Nano

Diffusive Regime

Electrons = Gas Molecules

Electrical Conduction

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Limitations of Classical Theory

Electron Waves

Conclusion of Diffusive Regime

Ballistic Regime from Landauer

Metals

Metals

Semiconductors

“What is measured when you measure CONDUCTANCE?”

Metals _ a _ 1eV Semiconductors >> a _ a few meV

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Landauer’s Formula

Ballistic Regime from van Wees

GaAr-AlGaAr

Energy of Electrons

Assumptions for Ballistic Transport

Quantized Conductance

_ Magnetic Field

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Nanocontact Experiments

Circuit

Correction Term from Foley

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Further Correction

Debates

STM Images from Takayanagi, et al

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References

Thank You!

Author: UotS