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Spin glasses exhibit random magnetic ordering as a result of competing interactions such as exchange or anisotropy. While they are easily prepared, and many of their general properties have been described, a detailed understanding of their behaviour is still lacking after more than 30 years of study. This book reviews the progress that has been made over the last five years on several aspects of the spin glass problem. Unlike several recent books, the authors concentrate here on experimental results, limiting the theoretical discussion to efforts most directly related to such work. The field of spin glasses, or more generally random magnets, continues to attract the interest of researchers worldwide, and the contributions in this book clearly show that this will be the case for many years to come.
Magnetism encompasses a wide range of systems and physical phenomena, and its study has posed and exposed both important fundamental problems and many practical applications. Recently, several entirely new phenomena have thus been discovered, generated through cooperative behaviour which could not have been predicted from a knowledge of `one-spin' states. At the same time, advances in sample preparation, experimental technique, apparatus and radiation sources, have led to increasing precision in the investigation and exposure of greater subtleties in magnetic thin films, multilayers and other systems. Examples of unexpected and conceptually new phenomena occur in strongly correlated and fluctuating quantum systems, producing effects such as Haldane and spin-Peierls gaps, solitons, quantum spin glasses and spin liquids. The discovery and elucidation of these `emerging properties' is a central theme in modern condensed matter physics. The present book comprises a series of chapters by world experts, covering both theoretical and experimental aspects. The approach is pedagogical and tutorial, but fully up to date, covering the latest research. The level is appropriate to graduate researchers who may either be just moving into the field or who are already active in condensed matter physics.
The 9 papers of this volume were presented at the March 1995 Symposium honoring Raymond L Orbach on his 60th birthday. The range of topics reflects the breadth of Dr Orbach's own research. It includes magnetism and transport in nanostructures, crystal fields in superconducting cuprates, fractons and scaling in disordered systems, glassy relaxation, inelastic atom-crystal scattering, bosonization in d > 1, and microwave effects in superconductors.
In the past 30 years, magnetic research has been dominated by the question of how surfaces and interfaces influence the magnetic and transport properties of nanostructures, thin films and multilayers. The research has been particularly important in the magnetic recording industry where the giant magnetoresistance effect led to a new generation of storage devices including hand-held memories such as those found in the ipod. More recently, transfer of spin angular momentum across interfaces has opened a new field for high frequency applications.This book gives a comprehensive view of research at the forefront of these fields. The frontier is expanding through dynamic exchange between theory and experiment. Contributions have been chosen to reflect this, giving the reader a unified overview of the topic. - Addresses both theory and experiment that are vital for gaining an essential understanding of topics at the interface between magnetism and materials science - Chapters written by experts provide great insights into complex material - Discusses fundamental background material and state-of-the-art applications, serving as an indispensable guide for students and professionals at all levels of expertise - Stresses interdisciplinary aspects of the field, including physics, chemistry, nanocharacterization, and materials science - Combines basic materials with applications, thus widening the scope of the book and its readership
This book is intended for postgraduate students as well as researchers in various areas of physics such as statistical physics, magnetism and materials sciences. The content of the book covers mainly frustrated spin systems with possible applications in domains where physical systems can be mapped into the spin language. Pedagogical effort has been made to make each chapter to be self-contained, comprehensible for researchers who are not really involved in the field. Basic methods are given in detail.
Simple random walks - or equivalently, sums of independent random vari ables - have long been a standard topic of probability theory and mathemat ical physics. In the 1950s, non-Markovian random-walk models, such as the self-avoiding walk,were introduced into theoretical polymer physics, and gradu ally came to serve as a paradigm for the general theory of critical phenomena. In the past decade, random-walk expansions have evolved into an important tool for the rigorous analysis of critical phenomena in classical spin systems and of the continuum limit in quantum field theory. Among the results obtained by random-walk methods are the proof of triviality of the cp4 quantum field theo ryin space-time dimension d (::::) 4, and the proof of mean-field critical behavior for cp4 and Ising models in space dimension d (::::) 4. The principal goal of the present monograph is to present a detailed review of these developments. It is supplemented by a brief excursion to the theory of random surfaces and various applications thereof. This book has grown out of research carried out by the authors mainly from 1982 until the middle of 1985. Our original intention was to write a research paper. However, the writing of such a paper turned out to be a very slow process, partly because of our geographical separation, partly because each of us was involved in other projects that may have appeared more urgent.
This solid introduction uses the principles of physics and the tools of mathematics to approach fundamental questions of neuroscience.
The aim of the workshop was to bring together specialists in various fields where non-exponential relaxation is observed in order to compare models and experimental results and to examine the general physical principles governing this type of behaviour. Non-exponential relaxation is found in extremely diverse physical systems all of which can be classified as complex. The form of the relaxation is generally parametrized using logarithmic, algebraic or stretched exponential decay forms. The conceptually simplest mechanism for the non-exponential decay is a spectrum of relaxation rates due to non-interacting units each of which relaxes with a different intrinsic time constant. Clear experimental examples can be given where for instance the relaxation of a collection of isolated polymer molecules leads to an overall stretched exponential decay. Non-exponential relaxation is observed in all strongly interacting complex systems (structural glasses, spin glasses, etc ... ) where each elementary unit is in interaction with many other units.
This volume comprises the proceedings of a NATO Advanced Study In stitute held at Geilo, Norway, April 6 -16 1999. The ASI was the fifteenth in a series held biannually on topics related to cooperative phenomena and phase transitions, in this case applied to soft condensed matter and its configurations, dynamics and functionality. It addressed the current experimental and theoretical knowledge of the physical properties of soft condensed matter such as polymers, gels, complex fluids, colloids, granular materials and biomaterials. The main purpose of the lectures was to obtain basic understanding of important aspects in relating molecular configurations and dynamics to macroscopic properties and biological functionality. To our knowledge, the term Soft Condensed Matter was actually coined and used for the first time in 1989 at Geilo and some selected topics of soft matter were also given at Geilo in 1991, 1993 and 1995. A return to this subject 10 years after its instigation thus allowed a fresh look and a possibility for defining new directions for research.