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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Datta, Supriyo, 1954- Lessons from nanoelectronics. Part B, Quantum transport. Singapore : World Scientific, [2018] |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Supriyo Datta |

ISBN: | 9789813224629 9813224622 9789813224636 9813224630 |

OCLC Number: | 1030591983 |

Description: | 1 online resource (xxiii, 234 pages) : illustrations. |

Contents: | Intro; Contents; Preface; Acknowledgments; List of Available Video Lectures Quantum Transport; Constants Used in This Book; Some Symbols Used; 1. Overview; 1.1 Conductance; 1.2 Ballistic Conductance; 1.3 What Determines the Resistance?; 1.4 Where is the Resistance?; 1.5 But Where is the Heat?; 1.6 Elastic Resistors; 1.7 Transport Theories; 1.7.1 Why elastic resistors are conceptually simpler; 1.8 Is Transport Essentially a Many-body Process?; 1.9 A Different Physical Picture; Contact-ing Schrodinger; 17. The Model; 17.1 Schrodinger Equation; 17.1.1 Spatially varying potential. 17.2 Electron-electron Interactions and the SCF Method; 17.3 Differential to Matrix Equation; 17.3.1 Semi-empirical tight-binding (TB) models; 17.3.2 Size of matrix, N = n b; 17.4 Choosing Matrix Parameters; 17.4.1 One-dimensional conductor; 17.4.2 Two-dimensional conductor; 17.4.3 TB parameters in B-field; 17.4.4 Lattice with a "Basis"; 18. NEGF Method; 18.1 One-level Resistor; 18.1.1 Semiclassical treatment; 18.1.2 Quantum treatment; 18.1.3 Quantum broadening; 18.1.4 Do multiple sources interfere?; 18.2 Quantum Transport Through Multiple Levels; 18.2.1 Obtaining Eqs. (18.1). 18.2.2 Obtaining Eqs. (18.2); 18.2.3 Obtaining Eq. (18.3); 18.2.4 Obtaining Eq. (18.4): the current equation; 18.3 Conductance Functions for Coherent Transport; 18.4 Elastic Dephasing; 19. Can Two Offer Less Resistance than One?; 19.1 Modeling 1D Conductors; 19.1.1 1D ballistic conductor; 19.1.2 1D conductor with one scatterer; 19.2 Quantum Resistors in Series; 19.3 Potential Drop Across Scatterer(s); More on NEGF; 20. Quantum of Conductance; 20.1 2D Conductor as 1D Conductors in Parallel; 20.1.1 Modes or subbands; 20.2 Contact Self-Energy for 2D Conductors. 20.2.1 Method of basis transformation; 20.2.2 General method; 20.2.3 Graphene: ballistic conductance; 20.3 Quantum Hall E ect; 21. Inelastic Scattering; 21.1 Fermi's Golden Rule; 21.1.1 Elastic scattering; 21.1.2 Inelastic scattering; 21.2 Self-energy Functions; 22. Does NEGF Include "Everything"?; 22.1 Coulomb Blockade; 22.1.1 Current versus voltage; 22.2 Fock Space Description; 22.2.1 Equilibrium in Fock space; 22.2.2 Current in the Fock space picture; 22.3 Entangled States; Spin Transport; 23. Rotating an Electron; 23.1 Polarizers and Analyzers; 23.2 Spin in NEGF; 23.3 One-level Spin Valve. 23.4 Rotating Magnetic Contacts; 23.5 Spin Hamiltonians; 23.5.1 Channel with Zeeman splitting; 23.5.2 Channel with Rashba interaction; 23.6 Vectors and Spinors; 23.7 Spin Precession; 23.8 Spin-charge Coupling; 23.9 Superconducting Contacts; 24. Quantum to Classical; 24.1 Matrix Electron Density; 24.2 Matrix Potential; 24.3 Spin Circuits; 24.4 Pseudo-spin; 24.5 Quantum Information; 24.5.1 Quantum entropy; 24.5.2 Does interaction increase the entropy?; 24.5.3 How much information can one spin carry?; 25. Epilogue: Probabilistic Spin Logic (PSL); 25.1 Spins and Magnets. 25.1.1 Pseudospins and pseudomagnets. |

Series Title: | Lessons from nanoscience, v. 5. |

Other Titles: | Quantum transport |

Responsibility: | Supriyo Datta. |

### Abstract:

Everyone is familiar with the amazing performance of a modern smartphone, powered by a billion-plus nanotransistors, each having an active region that is barely a few hundred atoms long. The same amazing technology has also led to a deeper understanding of the nature of current flow and heat dissipation on an atomic scale which is of broad rel...
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