Chapter 13. Coulomb Blockade

  1. Prof. Dror Sarid

Published Online: 16 FEB 2007

DOI: 10.1002/9783527610068.ch13

Exploring Scanning Probe Microscopy with MATHEMATICA, Second Edition

Exploring Scanning Probe Microscopy with MATHEMATICA, Second Edition

How to Cite

Sarid, D. (2006) Coulomb Blockade, in Exploring Scanning Probe Microscopy with MATHEMATICA, Second Edition, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527610068.ch13

Author Information

  1. College of Optical Science, University of Arizona, Tucson, Arizona 85721, USA

Publication History

  1. Published Online: 16 FEB 2007
  2. Published Print: 15 DEC 2006

ISBN Information

Print ISBN: 9783527406173

Online ISBN: 9783527610068

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Keywords:

  • scanning probe microscopy;
  • MATHEMATICA;
  • Coulomb Blockade;
  • Coulomb Staircase;
  • capacitance;
  • quantum considerations;
  • requirements;
  • approximations;
  • tunneling rates;
  • tunneling current;
  • temperature effects

Summary

This chapter contains sections titled:

  • Introduction

  • Capacitance

    • Sphere–Plane Capacitance

    • Sphere–Sphere Capacitance

  • Quantum Considerations

  • Requirements and Approximations

  • Coulomb Blockade and Coulomb Staircase

    • Electrostatic Energy Due to the Charging of the Quantum Dot

    • Electrostatic Energy Due to the Applied Bias

    • Total Electrostatic Energy

  • Tunneling Rates

  • Tunneling Current

  • Examples

    • Example 1

    • Example 2

    • Example 3

    • Example 4

    • Example 5

  • Temperature Effects

    • Parameters

    • Very High Temperature Operation

    • Very Low Temperature Operation

    • Finite Temperature Operation

  • Exercises for Chapter 13

  • References