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Full Description
This book provides an introduction to the physics of nanoelectronics, with a focus on the theoretical aspects of nanoscale devices. The book begins with an overview of the mathematics and quantum mechanics pertaining to nanoscale electronics, to facilitate the understanding of subsequent chapters. It goes on to encompass quantum electronics, spintronics, Hall effects, carbon and graphene electronics, and topological physics in nanoscale devices.
Theoretical methodology is developed using quantum mechanical and non-equilibrium Green's function (NEGF) techniques to calculate electronic currents and elucidate their transport properties at the atomic scale. The spin Hall effect is explained and its application to the emerging field of spintronics - where an electron's spin as well as its charge is utilised - is discussed. Topological dynamics and gauge potential are introduced with the relevant mathematics, and their application in nanoelectronic systems is explained. Graphene, one of the most promising carbon-based nanostructures for nanoelectronics, is also explored.
Contents
Author contact details
Foreword by S. Murakami
Foreword by B. Luk'yanchuk
Endorsements
Preface
Chapter 1: Physics mathematics for nanoscale systems
Abstract:
1.1 Introduction
1.2 Vector calculus
1.3 Fourier transform and Dirac delta functions
1.4 Basic quantum mechanics
1.5 Second quantization for electron accounting
Chapter 2: Nanoscale physics and electronics
Abstract:
2.1 Introduction to nanoscale electronics
2.2 Nanoelectronics and nanoscale condensed matter physics
2.3 Emerging nanoelectronic devices and systems
2.4 Electronic background
2.5 Non-interacting electron gas
2.6 Interacting electron gas
2.7 Electron localization
Chapter 3: Electron dynamics in nanoscale devices
Abstract:
3.1 Introduction to electron transport
3.2 Equilibrium Green's function in electron transport
3.3 Electric current under linear response
3.4 General Kubo conductivity
3.5 Non-equilibrium electron transport
3.6 Electron propagation - physics of Green's function
3.7 Device current formalism
Chapter 4: Spin dynamics in nanoelectronic devices
Abstract:
4.1 Introduction: spin current and spin transport
4.2 Simple two-current system
4.3 Spin and magnetic system
4.4 Second-quantized spin orbit coupling
4.5 Non-equilibrium spin current
Chapter 5: Spintronics and spin Hall effects in nanoelectronics
Abstract:
5.1 Introduction to spintronics
5.2 Semiconductor spin transport
5.3 Spin orbit coupling (SOC) and Zeeman effects
5.4 Spin current under magnetic fields and spin orbit coupling
5.5 Spin dynamics under the spin orbit gauge
5.6 Spin Hall effects (SHE)
5.7 SHE in the Rashba 2DEG system
5.8 Spin drift diffusion for collinear spin valve
5.9 Spin drift diffusion for non-collinear spin valve
Appendix 5. A Spin current under magnetic fields and spin orbit coupling
Chapter 6: Graphene carbon nanostructures for nanoelectronics
Abstract:
6.1 Introduction to carbon electronics
6.2 Monolayer graphene
6.3 Carbon nanostructures
6.4 Bilayer graphene
6.5 Deformation-induced gauge potential
6.6 Application of graphene spin
6.7 Localization and Klein tunneling
6.8 Integer quantum Hall effect
Appendix 6.A Relativistic quantum mechanics
Appendix 6.B Helicity and masslessness
Appendix 6.C Klein tunneling and paradox
Chapter 7: Topological dynamics and gauge potential in nanoelectronics
Abstract:
7.1 Introduction to gauge physics in nanoelectronics
7.2 Magnetic field in magnetic (B) space - monopole
7.3 Magnetic field in momentum (K) space - spintronics, graphene, topological insulators
7.4 Introduction to anomalous Hall effects (AHE)
7.5 Topological anomalous Hall effects
7.6 Spin torque induced by spin orbit coupling
7.7 Dirac string and monopole properties
7.8 Conclusion
Appendix 7 A Mathematical properties of monopole fields
Index
