50 years of anderson localization

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50 Years Of Anderson Localization

Author : Elihu Abrahams
ISBN : 9789814299077
Genre : Science
File Size : 57. 11 MB
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This unique volume celebrates the five decades of the impact of Anderson localization on modern physics. In addition to the historical perspective on its origin, it provides a comprehensive description of the experimental and theoretical aspects of Anderson localization.

Multi Scale Analysis For Random Quantum Systems With Interaction

Author : Victor Chulaevsky
ISBN : 9781461482260
Genre : Mathematics
File Size : 90. 62 MB
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The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems with positive spatial particle density. Creating a consistent theory of disorder in multi-particle quantum systems is an important and challenging problem that largely remains open. Multi-scale Analysis for Random Quantum Systems with Interaction presents the progress that had been recently achieved in this area. The main focus of the book is on a rigorous derivation of the multi-particle localization in a strong random external potential field. To make the presentation accessible to a wider audience, the authors restrict attention to a relatively simple tight-binding Anderson model on a cubic lattice Zd. This book includes the following cutting-edge features: an introduction to the state-of-the-art single-particle localization theory an extensive discussion of relevant technical aspects of the localization theory a thorough comparison of the multi-particle model with its single-particle counterpart a self-contained rigorous derivation of both spectral and dynamical localization in the multi-particle tight-binding Anderson model. Required mathematical background for the book includes a knowledge of functional calculus, spectral theory (essentially reduced to the case of finite matrices) and basic probability theory. This is an excellent text for a year-long graduate course or seminar in mathematical physics. It also can serve as a standard reference for specialists.

Electronic Transport In Mesoscopic Systems

Author : Supriyo Datta
ISBN : 9781139643016
Genre : Science
File Size : 62. 4 MB
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Advances in semiconductor technology have made possible the fabrication of structures whose dimensions are much smaller than the mean free path of an electron. This book gives a thorough account of the theory of electronic transport in such mesoscopic systems. After an initial chapter covering fundamental concepts, the transmission function formalism is presented, and used to describe three key topics in mesoscopic physics: the quantum Hall effect; localisation; and double-barrier tunnelling. Other sections include a discussion of optical analogies to mesoscopic phenomena, and the book concludes with a description of the non-equilibrium Green's function formalism and its relation to the transmission formalism. Complete with problems and solutions, the book will be of great interest to graduate students of mesoscopic physics and nanoelectronic device engineering, as well as to established researchers in these fields.

More Is Different

Author : N. Phuan Ong
ISBN : 0691088667
Genre : Science
File Size : 35. 76 MB
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This book presents articles written by leading experts surveying several major subfields in Condensed Matter Physics and related sciences. The articles are based on invited talks presented at a recent conference honoring Nobel laureate Philip W. Anderson of Princeton University, who coined the phrase "More is different" while formulating his contention that all fields of physics, indeed all of science, involve equally fundamental insights. The articles introduce and survey current research in areas that have been close to Anderson's interests. Together, they illustrate both the deep impact that Anderson has had in this multifaceted field during the past half century and the progress spawned by his insights. The contributors cover numerous topics under the umbrellas of superconductivity, superfluidity, magnetism, electron localization, strongly interacting electronic systems, heavy fermions, and disorder and frustration in glass and spin-glass systems. They also describe interdisciplinary areas such as the science of olfaction and color vision, the screening of macroions in electrolytes, scaling and renormalization in cosmology, forest fires and the spread of measles, and the investigation of "NP-complete" problems in computer science. The articles are authored by Philip W. Anderson, Per Bak and Kan Chen, G. Baskaran, Juan Carlos Campuzano, Paul Chaikin, John Hopfield, Bernhard Keimer, Scott Kirkpatrick and Bart Selman, Gabriel Kotliar, Patrick Lee, Yoshiteru Maeno, Marc Mezard, Douglas Osheroff et al., H. R. Ott, L. Pietronero et al., T. V. Ramakrishnan, A. Ramirez, Myriam Sarachik, T. Senthil and Matthew P. A. Fisher, B. I. Shklovskii et al., and F. Steglich et al.

Introduction To Wave Scattering Localization And Mesoscopic Phenomena

Author : Ping Sheng
ISBN : 9783540291565
Genre : Science
File Size : 48. 67 MB
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Principles Of Inorganic Materials Design

Author : John N. Lalena
ISBN : 0470567538
Genre : Technology & Engineering
File Size : 89. 74 MB
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Unique interdisciplinary approach enables readers to overcome complex design challenges Integrating concepts from chemistry, physics, materials science, metallurgy, and ceramics, Principles of Inorganic Materials Design, Second Edition offers a unique interdisciplinary approach that enables readers to grasp the complexities of inorganic materials. The book provides a solid foundation in the principles underlying the design of inorganic materials and then offers the guidance and tools needed to create specific materials with desired macroscopic properties. Principles of Inorganic Materials Design, Second Edition begins with an introduction to structure at the microscopic level and then progresses to smaller-length scales. Next, the authors explore both phenomenological and atomistic-level descriptions of transport properties, the metal?nonmetal transition, magnetic and dielectric properties, optical properties, and mechanical properties. Lastly, the book covers phase equilibria, synthesis, and nanomaterials. Special features include: Introduction to the CALPHAD method, an important, but often overlooked topic More worked examples and new end-of-chapter problems to help ensure mastery of the concepts Extensive references to the literature for more in-depth coverage of particular topics Biographies introducing twentieth-century pioneers in the field of inorganic materials science This Second Edition has been thoroughly revised and updated, incorporating the latest findings and featuring expanded discussions of such key topics as microstructural aspects, density functional theory, dielectric properties, mechanical properties, and nanomaterials. Armed with this text, students and researchers in inorganic and physical chemistry, physics, materials science, and engineering will be equipped to overcome today's complex design challenges. This textbook is recommended for senior-level undergraduate and graduate course work.

Graphene

Author : Mikhail I. Katsnelson
ISBN : 9780521195409
Genre : Science
File Size : 28. 86 MB
Format : PDF
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An important introduction to graphene, its physics and potentially significant applications, for graduate students, physicists and materials science researchers.

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