Quantum Transport : Atom to Transistor - Supriyo Datta

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Quantum Transport

Atom to Transistor

By: Supriyo Datta

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Hardcover | 28 July 2005 | Edition Number 2

At a Glance

Hardcover
420 Pages

Dimensions(cm)
24.41 x 16.99 x 2.39

Hardcover

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This book presents the conceptual framework underlying the atomistic theory of matter, emphasizing those aspects that relate to current flow. This includes some of the most advanced concepts of non-equilibrium quantum statistical mechanics. No prior acquaintance with quantum mechanics is assumed. Chapter 1 provides a description of quantum transport in elementary terms accessible to a beginner. The book then works its way from hydrogen to nanostructures, with extensive coverage of current flow. The final chapter summarizes the equations for quantum transport with illustrative examples showing how conductors evolve from the atomic to the ohmic regime as they get larger. Many numerical examples are used to provide concrete illustrations and the corresponding Matlab codes can be downloaded from the web. Videostreamed lectures, keyed to specific sections of the book, are also available through the web. This book is primarily aimed at senior and graduate students.

Industry Reviews

'Molecular transport phenomena in junctions is a very 'hot' area, that is best understood in terms of quantum transport phenomena in general. This book, by one of the true leaders in this field, presents and clarifies molecular transport in the context of the larger quantum transport area. The text is lucid, masterful, understandable and unified. The numerical examples and MATLAB codes combine with the discussions to provide a strongly integrated and very readable overview of the field.' Professor Mark Ratner, Professor of Chemistry, Northwestern University 'A lucid treatment of what's destined to be the 'next big thing' for electrical engineers - conduction at the atomic scale - eminently suitable for students and professionals alike. The generous use of examples and clarifying remarks, together with the novel approach of sequentially building up transport theory from the 'bottom up' and a genuine flair for effortlessly bringing together salient aspects of physics and engineering makes this a very useful book, indeed.' Dr Steve Laux, IBM, Yorktown Heights '... In recent years, scientists have developed a powerful practical technique based on Green function methods for calculating transport through small open systems. Supriyo Datta is one of its leading exponents and his new textbook makes a valiant and fascinating effort to use the formalism to provide a simple exposition of quantum transport on the atomic scale. ... It is more accessible, more embracing and a much better read than his earlier monograph Electronic Transport in Mesoscopic Systems. It contains excellent examples, good breadth and progressive detail, and is of real value to electronic engineers, physicists, and chemists researching modern interdisciplinary nanoelectronics.' Chemistry World

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You Can Find This Book In

Non-Fiction Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory Engineering & Technology Electronics & Communications Engineering Electronics Engineering Electronic Devices & Materials Semi-Conductors & Super-Conductors

Preface	p. ix
Acknowledgements	p. xii
List of symbols	p. xiii
Prologue: an atomistic view of electrical resistance	p. 1
Energy level diagram	p. 3
What makes electrons flow?	p. 7
The quantum of conductance	p. 11
Potential profile	p. 14
Coulomb blockade	p. 18
Towards Ohm's law	p. 21
Exercises	p. 30
Schrodinger equation	p. 33
Hydrogen atom	p. 33
Method of finite differences	p. 38
Examples	p. 41
Exercises	p. 49
Self-consistent field	p. 51
The self-consistent field (SCF) procedure	p. 51
Relation to the multi-electron picture	p. 57
Bonding	p. 63
Supplementary notes: multi-electron picture	p. 71
Exercises	p. 78
Basis functions	p. 81
Basis functions as a computational tool	p. 81
Basis functions as a conceptual tool	p. 87
Equilibrium density matrix	p. 93
Supplementary notes	p. 97
Exercises	p. 103
Bandstructure	p. 104
Toy examples	p. 104
General result	p. 109
Common semiconductors	p. 116
Effect of spin-orbit coupling	p. 120
Supplementary notes: the Dirac equation	p. 126
Exercises	p. 128
Subbands	p. 129
Quantum wells, wires, dots, and "nanotubes"	p. 129
Density of states	p. 138
Minimum resistance of a wire	p. 145
Velocity of a (sub)band electron	p. 150
Exercises	p. 154
Capacitance	p. 155
Model Hamiltonian	p. 156
Electron density/density matrix	p. 162
Quantum vs. electrostatic capacitance	p. 170
Supplementary notes: multi-band effective mass Hamiltonian	p. 176
Exercises	p. 180
Level broadening	p. 183
Open systems	p. 185
Local density of states	p. 191
Lifetime	p. 200
What constitutes a contact (reservoir)?	p. 207
Exercises	p. 213
Coherent transport	p. 217
Overview	p. 217
Density matrix	p. 223
Inflow/outflow	p. 230
Transmission	p. 232
Examples	p. 240
Exercises	p. 249
Non-coherent transport	p. 252
Why does an atom emit light?	p. 254
Examples	p. 263
Inflow and outflow	p. 271
Supplementary notes: phonons	p. 275
Exercises	p. 282
Atom to transistor	p. 285
Quantum transport equations	p. 285
Physics of Ohm's law	p. 290
Where is the heat dissipated?	p. 298
Where is the voltage drop?	p. 301
Exercises	p. 308
Epilogue	p. 312
Advanced formalism	p. 319
Correlation functions	p. 320
Non-equilibrium density matrix	p. 324
Inflow and outflow	p. 329
Inelastic flow	p. 332
Coulomb blockade/Kondo resonance	p. 337
Matlab codes used to generate text figures	p. 343
Further reading	p. 394
References	p. 399
Table of Contents provided by Ingram. All Rights Reserved.

Quantum Transport

Atom to Transistor

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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