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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 detailsForeword by S. MurakamiForeword by B. Luk'yanchukEndorsementsPrefaceChapter 1: Physics mathematics for nanoscale systemsAbstract:1.1 Introduction1.2 Vector calculus1.3 Fourier transform and Dirac delta functions1.4 Basic quantum mechanics1.5 Second quantization for electron accountingChapter 2: Nanoscale physics and electronicsAbstract:2.1 Introduction to nanoscale electronics2.2 Nanoelectronics and nanoscale condensed matter physics2.3 Emerging nanoelectronic devices and systems2.4 Electronic background2.5 Non-interacting electron gas2.6 Interacting electron gas2.7 Electron localizationChapter 3: Electron dynamics in nanoscale devicesAbstract:3.1 Introduction to electron transport3.2 Equilibrium Green's function in electron transport3.3 Electric current under linear response3.4 General Kubo conductivity3.5 Non-equilibrium electron transport3.6 Electron propagation - physics of Green's function3.7 Device current formalismChapter 4: Spin dynamics in nanoelectronic devicesAbstract:4.1 Introduction: spin current and spin transport4.2 Simple two-current system4.3 Spin and magnetic system4.4 Second-quantized spin orbit coupling4.5 Non-equilibrium spin currentChapter 5: Spintronics and spin Hall effects in nanoelectronicsAbstract:5.1 Introduction to spintronics5.2 Semiconductor spin transport5.3 Spin orbit coupling (SOC) and Zeeman effects5.4 Spin current under magnetic fields and spin orbit coupling5.5 Spin dynamics under the spin orbit gauge5.6 Spin Hall effects (SHE)5.7 SHE in the Rashba 2DEG system5.8 Spin drift diffusion for collinear spin valve5.9 Spin drift diffusion for non-collinear spin valveAppendix 5. A Spin current under magnetic fields and spin orbit couplingChapter 6: Graphene carbon nanostructures for nanoelectronicsAbstract:6.1 Introduction to carbon electronics6.2 Monolayer graphene6.3 Carbon nanostructures6.4 Bilayer graphene6.5 Deformation-induced gauge potential6.6 Application of graphene spin6.7 Localization and Klein tunneling6.8 Integer quantum Hall effectAppendix 6.A Relativistic quantum mechanicsAppendix 6.B Helicity and masslessnessAppendix 6.C Klein tunneling and paradoxChapter 7: Topological dynamics and gauge potential in nanoelectronicsAbstract:7.1 Introduction to gauge physics in nanoelectronics7.2 Magnetic field in magnetic (B) space - monopole7.3 Magnetic field in momentum (K) space - spintronics, graphene, topological insulators7.4 Introduction to anomalous Hall effects (AHE)7.5 Topological anomalous Hall effects7.6 Spin torque induced by spin orbit coupling7.7 Dirac string and monopole properties7.8 ConclusionAppendix 7 A Mathematical properties of monopole fieldsIndex
