Transport in Multilayered Nanostructures

The Dynamical Mean-Field Theory Approach

Over the last 25 years, dynamical mean-field theory (DMFT) has emerged as one of the most powerful new developments in many-body physics. Written by one of the key researchers in the field, this book presents the first comprehensive treatment of this ever-developing topic.

Transport in Mutlilayered Nanostructures is varied and modern in its scope, and:

• Develops the formalism of many-body Green's functions using the equation-of-motion approach
• Applies DMFT to study transport in multilayered nanostructures, which is likely to be one of the most prominent applications of nanotechnology in the coming years
• Develops formalism first for the bulk and then for the inhomogeneous multilayered systems
• Describes in great detail the science behind the metal-insulator transition, electronic charge reconstruction, strongly correlated contributions to capacitance, and superconductivity
• Includes complete derivations and emphasizes how to carry out numerical calculations, including discussions of parallel programming algorithms
• Provides descriptions of the crossover from tunneling to thermally activated transport, of the properties of Josephson junctions with barriers tuned near the metal-insulator transition, of thermoelectric coolers and power generators and of nonequilibrium extensions to determine current-voltage characteristics as applications of the theory

A series of over 50 problems help develop the skills to allow readers to reach the level of being able to contribute to research. This book is suitable for an advanced graduate course in DMFT, and for individualized study by graduate students, postdoctoral fellows and advanced researchers wishing to enter the field.

Contents:

• Introduction to Multilayered Nanostructures
• Dynamical Mean-Field Theory in the Bulk
• Dynamical Mean-Field Theory of a Multilayered Nanostructure
• Thouless Energy and Normal-State Transport
• Josephson Junctions and Superconducting Transport
• Thermal Transport
• Many-Body Effects on Capacitance
• Nonequilibrium Effects in Multilayers
• Future Directions
• Appendix with 52 Problems

Readership: Graduate students of solid state physics and quantum mechanics, researchers and electrical engineers.
Key Features:

• Novel and modern development of the many-body theory for Green's functions that emphasizes exact and numerical methods rather than perturbation theory
• Comprehensive treatment of dynamical mean-field theory in the bulk and for inhomogeneous systems (including nonequilibrium extensions) and is easily accessible to second-year graduate students
• Suitable for students and experts alike — filled with insights and detailed derivations that enable readers to learn and master the material
• Includes a series of progressive problems that allow the reader to develop both the formal and the computational tools needed to contribute to DMFT research