Transport in Nanostructures

by David K. Ferry , Stephen M. Goodnick , Jonathan Bird

• ISBN13: 9780521877480
• ISBN10: 0521877482
• Edition: 2nd
• Format: Hardcover
• Copyright: 2009-09-21
• Publisher: Cambridge University Press

Summary

The advent of semiconductor structures whose characteristic dimensions are smaller than the mean free path of carriers has led to the development of novel devices, and advances in theoretical understanding of mesoscopic systems or nanostructures. This book has been thoroughly revised and provides a much-needed update on the very latest experimental research into mesoscopic devices and develops a detailed theoretical framework for understanding their behaviour. Beginning with the key observable phenomena in nanostructures, the authors describe quantum confined systems, transmission in nanostructures, quantum dots, and single electron phenomena. Separate chapters are devoted to interference in diffusive transport, temperature decay of fluctuations, and non-equilibrium transport and nanodevices. Throughout the book, the authors interweave experimental results with the appropriate theoretical formalism. The book will be of great interest to graduate students taking courses in mesoscopic physics or nanoelectronics, and researchers working on semiconductor nanostructures.

Author Biography

David K. Ferry is Regents' Professor in the Department of Electrical Engineering at Arizona State University. Stephen M. Goodnick is Director of the Arizona Institute for Nanoelectronics, and Professor of Electrical Engineering at Arizona State University. Jonathan Bird is a Professor in the Department of Electrical Engineering of the University at Buffalo and a Visiting Professor in the Graduate School of Advanced Integration Science, Chiba University.

Table of Contents

Preface	p. vii
Acknowledgements	p. x
Introduction	p. 1
Nanostructures: the impact	p. 2
Mesoscopic observables in nanostructures	p. 9
Space and time scales	p. 17
Nanostructures and nanodevices	p. 19
An introduction to the subsequent chapters	p. 23
What is omitted	p. 25
Quantum confined systems	p. 28
Nanostructure materials	p. 29
Quantization in heterojunction systems	p. 35
Lateral confinement: quantum wires and quantum dots	p. 52
Electronic states in quantum wires and dots	p. 58
Magnetic field effects in quantum confined systems	p. 66
Screening and collective excitations in low-dimensional systems	p. 76
Homogeneous transport in low-dimensional systems	p. 83
Transmission in nanostructures	p. 116
Tunneling in planar barrier structures	p. 117
Current in resonant tunneling diodes	p. 123
Landauer formula	p. 136
The multi-channel case	p. 140
Transport in quantum waveguide structures	p. 155
The quantum Hall effects	p. 193
The integer quantum Hall effect in two-dimensional electron systems	p. 194
Edge-state propagation in nanostructures	p. 210
The fractional quantum Hall effect	p. 220
The many-body picture	p. 235
Ballistic transport in quantum wires	p. 248
Conductance quantization in quantum point contacts	p. 249
Non-integer conductance quantization in quantum point contacts	p. 271
Some ballistic device concepts	p. 290
Quantum dots	p. 299
Fundamentals of single-electron tunneling	p. 300
Single-electron tunneling in semiconductor quantum dots	p. 338
Coupled quantum dots as artificial molecules	p. 361
Quantum interference due to spatial wave function coherence in quantum dots	p. 388
Weakly disordered systems	p. 413
Disordered semiconductors	p. 414
Conductivity	p. 427
Weak localization	p. 439
Universal conductance fluctuations	p. 459
Green's functions in disordered materials	p. 467
Temperature decay of fluctuations	p. 491
Temperature decay of coherence	p. 493
The role of temperature on the fluctuations	p. 503
Electron-electron interaction effects	p. 511
Conductivity	p. 554
Nonequilibrium transport and nanodevices	p. 563
Nonequilibrium transport in mesoscopic structures	p. 566
Semiconductor nanodevices in the real world	p. 593
Quantum simulations via the scattering matrix	p. 610
Real-time Green's functions	p. 620
Index	p. 653
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