Transport in Multilayered Nanostructures (ePub)

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 approachApplies DMFT to study transport in multilayered nanostructures, which is likely to be one of the most prominent applications of nanotechnology in the coming yearsDevelops formalism first for the bulk and then for the inhomogeneous multilayered systemsDescribes in great detail the science behind the metal-insulator transition, electronic charge reconstruction, strongly correlated contributions to capacitance, and superconductivityIncludes complete derivations and emphasizes how to carry out numerical calculations, including discussions of parallel programming algorithmsProvides 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 theoryA 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 NanostructuresDynamical Mean-Field Theory in the BulkDynamical Mean-Field Theory of a Multilayered NanostructureThouless Energy and Normal-State TransportJosephson Junctions and Superconducting TransportThermal TransportMany-Body Effects on CapacitanceNonequilibrium Effects in MultilayersFuture DirectionsAppendix with 52 Problems Readership: Graduate students of solid state physics and quantum mechanics, researchers and electrical engineers. Multilayers;Dynamical Mean-Field Theory;Transport;Tunneling;Nonequilibrium;Many-Body Problem;Josephson Junction;Thermoelectric;CapacitorKey Features:Novel and modern development of the many-body theory for Green's functions that emphasizes exact and numerical methods rather than perturbation theoryComprehensive treatment of dynamical mean-field theory in the bulk and for inhomogeneous systems (including nonequilibrium extensions) and is easily accessible to second-year graduate studentsSuitable for students and experts alike — filled with insights and detailed derivations that enable readers to learn and master the materialIncludes a series of progressive problems that allow the reader to develop both the formal and the computational tools needed to contribute to DMFT research