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Quantum Transport

Book Description

Quantum transport is a diverse field, sometimes combining seemingly contradicting concepts - quantum and classical, conduction and insulating - within a single nanodevice. Quantum transport is an essential and challenging part of nanoscience, and understanding its concepts and methods is vital to the successful fabrication of devices at the nanoscale. This textbook is a comprehensive introduction to the rapidly developing field of quantum transport. The authors present the comprehensive theoretical background, and explore the groundbreaking experiments that laid the foundations of the field. Ideal for graduate students, each section contains control questions and exercises to check readers' understanding of the topics covered. Its broad scope and in-depth analysis of selected topics will appeal to researchers and professionals working in nanoscience.

Table of Contents

  1. Cover
  2. Half Title
  3. Title Page
  4. Copyright
  5. Contents
  6. Preface
  7. Introduction
  8. 1. Scattering
    1. 1.1 Wave properties of electrons
    2. 1.2 Quantum contacts
    3. 1.3 Scattering matrix and the Landauer formula
    4. 1.4 Counting electrons
    5. 1.5 Multi-terminal circuits
    6. 1.6 Quantum interference
    7. 1.7 Time-dependent transport
    8. 1.8 Andreev scattering
    9. 1.9 Spin-dependent scattering
  9. 2. Classical and semiclassical transport
    1. 2.1 Disorder, averaging, and Ohm’s law
    2. 2.2 Electron transport in solids
    3. 2.3 Semiclassical coherent transport
    4. 2.4 Current conservation and Kirchhoff rules
    5. 2.5 Reservoirs, nodes, and connectors
    6. 2.6 Ohm’s law for transmission distribution
    7. 2.7 Spin transport
    8. 2.8 Circuit theory of superconductivity
    9. 2.9 Full counting statistics
  10. 3. Coulomb blockade
    1. 3.1 Charge quantization and charging energy
    2. 3.2 Single-electron transfers
    3. 3.3 Single-electron transport and manipulation
    4. 3.4 Co-tunneling
    5. 3.5 Macroscopic quantum mechanics
    6. 3.6 Josephson arrays
    7. 3.7 Superconducting islands beyond the Josephson limit
  11. 4. Randomness and interference
    1. 4.1 Random matrices
    2. 4.2 Energy-level statistics
    3. 4.3 Statistics of transmission eigenvalues
    4. 4.4 Interference corrections
    5. 4.5 Strong localization
  12. 5. Qubits and quantum dots
    1. 5.1 Quantum computers
    2. 5.2 Quantum goodies
    3. 5.3 Quantum manipulation
    4. 5.4 Quantum dots
    5. 5.5 Charge qubits
    6. 5.6 Phase and flux qubits
    7. 5.7 Spin qubits
  13. 6. Interaction, relaxation, and decoherence
    1. 6.1 Quantization of electric excitations
    2. 6.2 Dissipative quantum mechanics
    3. 6.3 Tunneling in an electromagnetic environment
    4. 6.4 Electrons moving in an environment
    5. 6.5 Weak interaction
    6. 6.6 Fermionic environment
    7. 6.7 Relaxation and decoherence of qubits
    8. 6.8 Relaxation and dephasing of electrons
  14. Appendix A: Survival kit for advanced quantum mechanics
  15. Appendix B: Survival kit for superconductivity
  16. Appendix C: Unit conversion
  17. References
  18. Index