This volume proceeds from a description of a disordered electron liquid via effective functional or diffusion modes to a theory of interacting electrons in disordered conductors that is of the Fermi-liquid type but with renormalizable parameters. The influence of disorder on the temperature of the superconducting transition in homogeneous amorphous films is analyzed theoretically. Critical properties in the vicinity of metal-insulator transitions are discussed and spin instability is considered: the latter shows the great importance of spin fluctuation in the region of the transition.

The proceedings of this important conference consist of plenary and invited papers published in hard copy and CD-ROM versions. The contributed oral and poster presentations are included in the CD-ROM version only.

The proceedings of this important conference consist of plenary and invited papers published in hard copy and CD-ROM versions. The contributed oral and poster presentations are included in the CD-ROM version only.

In his groundbreaking paper “Absence of diffusion in certain random lattices (1958)”, Philip W Anderson originated, described and developed the physical principles underlying the phenomenon of the localization of quantum objects due to disorder. Anderson's 1977 Nobel Prize citation featured that paper, which was fundamental for many subsequent developments in condensed matter physics and technical applications. After more than a half century, the subject continues to be of fundamental importance. In particular, in the last 25 years, the phenomenon of localization has proved to be crucial for the understanding of the quantum Hall effect, mesoscopic fluctuations in small conductors, some aspects of quantum chaotic behavior, and the localization and collective modes of electromagnetic and matter waves.This unique and invaluable volume celebrates the five decades of the impact of Anderson localization on modern physics. In addition to the historical perspective on its origin, the volume provides a comprehensive description of the experimental and theoretical aspects of Anderson localization, together with its application in various areas, which include disordered metals and the metal-insulator transition, mesoscopic physics, classical systems and light, strongly-correlated systems, and mathematical models.The volume is edited by E Abrahams, who has been a contributor in the field of localization. A distinguished group of experts, each of whom has left his mark on the developments of this fascinating theory, contribute their personal insights in this volume. They are: A Amir (Weizmann Institute of Science), P W Anderson (Princeton University), G Bergmann (University of Southern California), M Büttiker (University of Geneva), K Byczuk (University of Warsaw & University of Augsburg), J Cardy (University of Oxford), S Chakravarty (University of California, Los Angeles), V Dobrosavljević (Florida State University), R C Dynes (University of California, San Diego), K B Efetov (Ruhr University Bochum), F Evers (Karlsruhe Institute of Technology), A M Finkel'stein (Weizmann Institute of Science & Texas A&M University), A Genack (Queens College, CUNY), N Giordano (Purdue University), I V Gornyi (Karlsruhe Institute of Technology), W Hofstetter (Goethe University Frankfurt), Y Imry (Weizmann Institute of Science), B Kramer (Jacobs University Bremen), S V Kravchenko (Northeastern University), A MacKinnon (Imperial College London), A D Mirlin (Karlsruhe Institute of Technology), M Moskalets (NTU “Kharkiv Polytechnic Institute”), T Ohtsuki (Sophia University), P M Ostrovsky (Karlsruhe Institute of Technology), A M M Pruisken (University of Amsterdam), T V Ramakrishnan (Indian Institute of Science), M P Sarachik (City College, CUNY), K Slevin (Osaka University), T Spencer (Institute for Advanced Study, Princeton), D J Thouless (University of Washington), D Vollhardt (University of Augsburg), J Wang (Queens College, CUNY), F J Wegner (Ruprecht-Karls-University) and P Wölfle (Karlsruhe Institute of Technology).

Publisher Description

This text presents the mathematical concepts of Grassmann variables and the method of supersymmetry to a broad audience of physicists interested in applying these tools to disordered and critical systems, as well as related topics in statistical physics. Based on many courses and seminars held by the author, one of the pioneers in this field, the reader is given a systematic and tutorial introduction to the subject matter. The algebra and analysis of Grassmann variables is presented in part I. The mathematics of these variables is applied to a random matrix model, path integrals for fermions, dimer models and the Ising model in two dimensions. Supermathematics - the use of commuting and anticommuting variables on an equal footing - is the subject of part II. The properties of supervectors and supermatrices, which contain both commuting and Grassmann components, are treated in great detail, including the derivation of integral theorems. In part III, supersymmetric physical models are considered. While supersymmetry was first introduced in elementary particle physics as exact symmetry between bosons and fermions, the formal introduction of anticommuting spacetime components, can be extended to problems of statistical physics, and, since it connects states with equal energies, has also found its way into quantum mechanics. Several models are considered in the applications, after which the representation of the random matrix model by the nonlinear sigma-model, the determination of the density of states and the level correlation are derived. Eventually, the mobility edge behavior is discussed and a short account of the ten symmetry classes of disorder, two-dimensional disordered models, and superbosonization is given.

This innovative and modular textbook combines classical topics in thermodynamics, statistical mechanics and many-body theory with the latest developments in condensed matter physics research. Written by internationally renowned experts and logically structured to cater for undergraduate and postgraduate students and researchers, it covers the underlying theoretical principles and includes numerous problems and worked examples to put this knowledge into practice. Three main streams provide a framework for the book; beginning with thermodynamics and classical statistical mechanics, including mean field approximation, fluctuations and the renormalization group approach to critical phenomena. The authors then examine quantum statistical mechanics, covering key topics such as normal Fermi and Luttinger liquids, superfluidity and superconductivity. Finally, they explore classical and quantum kinetics, Anderson localization and quantum interference, and disordered Fermi liquids. Unique in providing a bridge between thermodynamics and advanced topics in condensed matter, this textbook is an invaluable resource to all students of physics.

The physics of non-equilibrium many-body systems is a rapidly expanding area of theoretical physics. Traditionally employed in laser physics and superconducting kinetics, these techniques have more recently found applications in the dynamics of cold atomic gases, mesoscopic and nano-mechanical systems, and quantum computation. This book provides a detailed presentation of modern non-equilibrium field-theoretical methods, applied to examples ranging from biophysics to the kinetics of superfluids and superconductors. A highly pedagogical and self-contained approach is adopted within the text, making it ideal as a reference for graduate students and researchers in condensed matter physics. In this Second Edition, the text has been substantially updated to include recent developments in the field such as driven-dissipative quantum systems, kinetics of fermions with Berry curvature, and Floquet kinetics of periodically driven systems, among many other important new topics. Problems have been added throughout, structured as compact guided research projects that encourage independent exploration.

The book summarizes the current state of the know-how in the field of perovskite materials: synthesis, characterization, properties, and applications. Most chapters include a review on the actual knowledge and cutting-edge research results. Thus, this book is an essential source of reference for scientists with research fields in energy, physics, chemistry and materials. It is also a suitable reading material for graduate students.