本书通过大量的实例和图表，透彻地讲解了材料的电子输运理论及其潜在应用，重点描述了纳米结构在外加偏压下的电流行为，内容涉及到许多现代非平衡态量子统计力学中的高等概念。本书第1章简述量子输运的基本概念，第2章到第7章讲到氢原子、能带论和有效质量方程等，第8章到第11章讲述自洽计算电流-电压特性等物理性质的方法，重点强调非平衡态格林函数方法。最后一章以实际例子总结量子输运方程，阐明随着体系的增大，系统从原子弹道输运区过渡到欧姆输运区。本书的宽度和深度适当，对从事现代交叉学科——纳米电子学研究的电子工程师、物理学家和化学家来讲是一本难得的好书。阅读本书仅需要基本的量子力学和偏微分方程知识。

Preface

Acknowledgements

List of symbols

*1 Prologue: an atomistic view of electrical resistance

　1.1 Energy level diagram

　1.2 What makes electrons flow?

　1.3 The quantum of conductance

　1.4 Potential profile

　1.5 Coulomb blockade

　1.6 Towards Ohm's law

　Exercises

*2 Schrodinger equation

 2.1 Hydrogen atom

 2.2 Method of finite differences

 2.3 Examples　Exercises

*3 Self-consistent field

 3.1 The self-consistent field (SCF) procedure

 3.2 Relation to the multi-electron picture

 3.3 Bonding

 3.4 Supplementary notes: multi-electron picture

　Exercises

4 Basis functions

 *4.1 Basis functions as a computational tool

 *4.2 Basis functions as a conceptual tool

 4.3 Equilibrium density matrix

 4.4 Supplementary notes

　Exercises

5 Bandstructure

 *5.1 Toy examples

 *5.2 General result

 *5.3 Common semiconductor

 5.4 Effect of spin-orbit coupling

 5.5 Supplementary notes: the Dirac equation　Exercises

6 Subbands

 *6.1 Quantum wells, wires, dets, and "nanotubes"

 *6.2 Density of states

 *6.3 Minimum resistance of a wire

 6.4 Velocity of a (sub)band electron

　Exercises

7 Capacitance

 *7.1 Model Hamiltonian

 7.2 Electron density/density matrix

 *7.3 Quantum vs. electrostatic capacitance

 7.4 Supplementary notes: multi-band effective mass Hamiltonian

　Exercises

8 Level broadening

 8.1 Open systems

 8.2 Local density of states

 8.3 Lifetime

 8.4 What constitutes a contact (reservoir)?

 Exercises

9 Coherent transport

 *9.1 Overview

 9.2 Density matrix

 9.3  Inflow/outflow

 *9.4 Transmission

 *9.5 Examples

 Exercises

10 Non-coherent transport

 10.1 Why does an atom emit light?

 10.2 Examples

 10.3 Inflow and outflow

 10.4 Supplementary notes: phonons

 Exercises

11 Atom to transistor

 11.1 Quantum transport equations

 *11.2 Physics of Ohm's law

 *11.3 Where is the heat dissipated?

 *11.4 Where is the voltage drop?

 Exercises

12  Epilogue

Appendix: advanced formalism

A.1 Correlation functions

A.2 Non-equilibrium density matrix

A.3 Inflow and outflow

A.4 Inelastic flow

A.5 Coulomb blockade/Kondo resonance

MATLAB codes used to generate text figures

Further reading

References

Index