Lessons From Nanoelectronics: A New Perspective On Transport

Lessons From Nanoelectronics: A New Perspective On Transport

by Supriyo Datta
ISBN-10:
9814335282
ISBN-13:
9789814335287
Pub. Date:
08/29/2012
Publisher:
World Scientific Publishing Company, Incorporated
ISBN-10:
9814335282
ISBN-13:
9789814335287
Pub. Date:
08/29/2012
Publisher:
World Scientific Publishing Company, Incorporated
Lessons From Nanoelectronics: A New Perspective On Transport

Lessons From Nanoelectronics: A New Perspective On Transport

by Supriyo Datta

Hardcover

$84.0 Current price is , Original price is $84.0. You
$84.00 
  • SHIP THIS ITEM
    Qualifies for Free Shipping
  • PICK UP IN STORE
    Check Availability at Nearby Stores

Overview

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 in length.These lecture notes are about a less appreciated by-product of the microelectronics revolution, namely the deeper understanding of current flow, and device operation that it has enabled, which forms the basis for a new approach to transport problems.The book assumes very little background beyond linear algebra and differential equations, and is intended to be accessible to anyone in any branch of science or engineering.

Product Details

ISBN-13: 9789814335287
Publisher: World Scientific Publishing Company, Incorporated
Publication date: 08/29/2012
Series: Lessons From Nanoscience: A Lecture Notes Series , #1
Pages: 492
Product dimensions: 6.10(w) x 9.10(h) x 1.20(d)

Table of Contents

Preface vii

Some Symbols used ix

I The New Ohm's Law 1

1 The Bottom-Up Approach 3

2 Why Electrons Flow 15

2.1 Two Key Concepts 18

2.2 Fermi Function 18

2.3 Non-equilibrium: Two Fermi Functions 21

2.4 Linear Response 22

2.5 Difference in "Agenda" Drives the Flow 24

3 The Elastic Resistor 27

3.1 How an Elastic Resistor Dissipates Heat 30

3.2 Conductance of an Elastic Resistor 32

3.3 Why an Elastic Resistor is Relevant 35

4 Ballistic and Diffusive Transport 39

4.1 Ballistic and Diffusive Transfer Times 42

4.2 Channels for Conduction 45

5 Conductivity 47

5.1 E(p) or E(k) Relations 52

5.2 Counting States 53

5.3 Drude Formula 55

5.4 Is Conductivity proportional to Electron Density? 59

5.5 Quantized Conductance 61

6 Diffusion Equation for Ballistic Transport 65

6.1 Electrochemical Potentials Out of Equilibrium 72

6.2 Currents in Terms of Non-Equilibrium Potentials 76

7 What about Drift? 79

7.1 Boltzmann Transport Equation, BTE 82

7.2 Diffusion Equation from BTE 85

7.3 Equilibrium Fields Do Matter 88

7.4 The Two Potentials 89

8 Electrostatics is Important 93

8.1 The Nanotransistor 94

8.2 Why the Current Saturates 96

8.3 Role of Charging 98

8.4 Rectifier Based on Electrostatics 102

8.5 Extended Channel Model 104

9 Smart Contacts 111

9.1 Why p-n Junctions are Different 112

9.2 Contacts are Fundamental 119

II Old Topics in New Light 123

10 Thermoelectricity 125

10.1 Seebeack Coefficient 129

10.2 Thermoelectric Figures of Merit 131

10.3 Heat Current 133

10.4 "Delta Function" Thermoelectric 138

11 Phonon Transport 145

11.1 Phonon Heat Current 147

11.2 Thermal Conductivity 151

12 Measuring Electrochemical Potentials 155

12.1 The Landauer Formulas 161

12.2 Büttiker Formula 165

13 Hall Effect 173

13.1 Why n- and p- Conductors Are Different 178

13.2 Spatial Profile of Electrochemical Potential 179

13.3 Measuring the Potential 184

13.4 Non - Reciprocal Circuits 188

14 Spin Value 191

14.1 Mode Mismatch and Interface Resistance 194

14.2 Spin Potentials 201

14.3 Spin-Torque 209

14.4 Polarizers and Analyzers 217

15 Kubo Formula 221

15.1 Kubo Formula for an Elastic Resistor 224

15.2 Onsager Relations 227

16 Second Law 229

16.1 Asymmetry of Absorption and Emission 233

16.2 Entropy 235

16.3 Law of Equilibrium 240

16.4 Fock Space States 242

16.5 Alternative Expression for Entropy 246

17 Fuel Value of Information 251

17.1 Information-Driven Battery 255

17.2 Fuel Value Comes From Knowledge 258

17.3 Landauer's Principle 260

17.4 Maxwell's Demon 261

III Contact-ing Schrödinger 265

18 The Model 267

18.1 Schrödinger Equation 270

18.2 Electron-Electron Interactions 275

18.3 Differential to Matrix Equation 278

18.4 Choosing Matrix Parameters 281

19 Non-Equilibrium Green's Functions (NEGF) 293

19.1 One-level Resistor 299

19.2 Multi-level Resistors 308

19.3 Conductance Functions for Coherent Transport 314

19.4 Elastic Dephasing 315

20 Can Two Offer Less Resistance than One? 321

20.1 Modeling 1D Conductors 322

20.2 Quantum Resistors in Series 326

20.3 Potential Drop Across Scatterer(s) 331

21 Quantum of Conductance 337

21.1 2D Conductor as 1D Conductors in Parallel 337

21.2 Contact self-energy for 2D Conductors 343

21.3 Quantum Hall Effect 349

22 Rotating an Electron 355

22.1 One-level Spin Valve 359

22.2 Rotating Magnetic Contacts 363

22.3 Spin Hamiltonians 366

22.4 Vectors and Spinors 369

22.5 Spin Precession 374

22.6 From NEGF to Diffusion 380

23 Does NEGF Include "Everything"? 389

23.1 Coulomb Blockade 392

23.2 Fock Space Description 397

23.3 Entangled States 402

24 The Quantum and the Classical 409

24.1 Spin coherence 410

24.2 Pseudo-spins 412

24.3 Quantum Entropy 415

24.4 Does Interaction Increase the Entropy? 417

24.5 Spins and magnets 419

References / Further Reading 423

Appendices 433

A Fermi and Bose Function Derivatives 433

B Angular Averaging 435

C Hamiltonian with E- and B-Fields 437

D Transmission Line Parameters from BTE Equations 439

E NEGF Equations 443

F MATLAB Codes for Text Figures 449

From the B&N Reads Blog

Customer Reviews