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Introduction to the Physics of Nanoelectronics. Woodhead Publishing Series in Electronic and Optical Materials

  • ID: 2719753
  • Book
  • March 2012
  • Elsevier Science and Technology

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.

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Author contact details

Foreword by S. Murakami

Foreword by B. Luk'yanchuk



Chapter 1: Physics mathematics for nanoscale systems


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


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


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


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


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


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


7.1 Introduction to gauge physics in nanoelectronics

7.2 Magnetic field in magnetic (B) space

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


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Seng Ghee Tan
Dr Seng Ghee Tan is a Research Scientist with the Agency for Science, Technology and Research, Singapore.
Mansoor B. A Jalil National University of Singapore, Singapore.

Professor Mansoor Jalil is an Associate Professor with the National University of Singapore (NUS) and a Faculty Associate with the Agency for Science, Technology and Research, Singapore.
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