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.

• Assuming no prior background, discusses advanced concepts of non-equilibrium statistical mechanics which are key for the analysis and design of nanoscale devices • Contains many numerical examples, with corresponding MATLAB code available for the Web; problems are also included, solutions to which are available to instructors by e-mailing [email protected] • Videostreamed lectures, keyed to the text, also available from the Web

### Contents

Foreword; 1. Prologue - electrical resistance: an atomistic view; 2. Schrödinger equation; 3. Self-consistent field; 4. Basis functions; 5. Bandstructure; 6. Subbands; 7. Capacitance; 8. Level broadening; 9. Coherent transport; 10. Non-coherent transport; 11. Atom to transistor; Epilogue; Appendix/advanced formalism; Selected bibliography; MATLAB codes for text figures.

### 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.' Mark Ratner, Northwestern University, Illinois

'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.' 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