Theoretical Tools For Spin Models In Magnetic Systems

Author : Antonio Sergio Teixeira Pires
Publisher : IOP Publishing Limited
Page : 167 pages
File Size : 46,6 Mb
Release : 2021-04-08
Category : Science
ISBN : 0750338776

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Theoretical Tools for Spin Models in Magnetic Systems by Antonio Sergio Teixeira Pires Pdf

The book is dedicated to the study of theoretical tools in spin models in magnetism. The book presents the basic tools to treat spin models in magnetic systems such as: spin waves, Schwinger bosons formalism, Self-consistent harmonic approximation, Kubo theory, Perturbation theory using Green's function. Several examples where the theory is applied in modern research, are discussed. Some important areas of interest in magnetism today are spin liquids and magnon topological insulators. Both of these subjects are discussed in the book. The book has been written to help graduate students working in the area of spin models in magnetic systems. There are a lot of books that lead with Green's function, but a student has to study almost the whole book to grasp some idea of the theme. The same is true for the linear response theory and spin liquids. The author believes this book will enable students to start doing research in spin models without the need for extensive reading of the literature. Key Features Presents several kinds of spin wave theories. Extensively discusses Schwinger bosons. Includes studies of linear response theory, the Kubo formalism and several kinds of Green's function. Provides an introduction to spin liquids and the magnon quantum Hall effect. Provides worked examples of how the theories are applied to spin models.

Author : PIRES
Publisher : Unknown
Page : 128 pages
File Size : 46,7 Mb
Release : 2021-04-08
Category : Electronic
ISBN : 0750338806

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Theoretical Tools Spin Models Magnetic by PIRES Pdf

Author : H. T. Diep
Publisher : World Scientific
Page : 351 pages
File Size : 44,9 Mb
Release : 1994
Category : Science
ISBN : 9789810217150

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Magnetic Systems with Competing Interactions by H. T. Diep Pdf

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.

Author : H. T. Diep
Publisher : World Scientific
Page : 644 pages
File Size : 50,8 Mb
Release : 2013
Category : Science
ISBN : 9789814440745

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Frustrated Spin Systems by H. T. Diep Pdf

This book covers all principal aspects of currently investigated frustrated systems, from exactly solved frustrated models to real experimental frustrated systems, going through renormalization group treatment, Monte Carlo investigation of frustrated classical Ising and vector spin models, low-dimensional systems, spin ice and quantum spin glass. The reader can OCo within a single book OCo obtain a global view of the current research development in the field of frustrated systems.This new edition is updated with recent theoretical, numerical and experimental developments in the field of frustrated spin systems. The first edition of the book appeared in 2005. In this edition, more recent works until 2012 are reviewed. It contains nine chapters written by researchers who have actively contributed to the field. Many results are from recent works of the authors.The book is intended for postgraduate students as well as researchers in statistical physics, magnetism, materials science and various domains where real systems can be described with the spin language. Explicit demonstrations of formulas and full arguments leading to important results are given where it is possible to do so."

Author : Hung-the Diep
Publisher : World Scientific Publishing Company
Page : 440 pages
File Size : 43,7 Mb
Release : 2013-12-24
Category : Science
ISBN : 9789814569965

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Theory Of Magnetism: Application To Surface Physics by Hung-the Diep Pdf

The book is intended for graduate students and researchers who wish to master the main properties of magnetic materials in the bulk state and at the nanometric scale such as for thin films and multilayers. This textbook provides the theories and methods of simulation to study and to understand these properties in an explicit manner.In the first part of the book, the quantum theory of magnetism is presented while the second part of the book is devoted to the application of the theory of magnetism to surface physics. Numerous examples covering typical cases in ferromagnets, antiferromagnets, ferrimagnets, helimagnets, and frustrated spin systems are all illustrated. Fundamental surface effects are shown and discussed. Lastly, the spin transport is described — in which the basic formulation of the Boltzmann's equation is recalled — and the recent methods of Monte Carlo simulation to deal with the spin resistivity are explained.This book contains a large number of detailed solutions for the problems given in each chapter to help readers discover new related phenomena and applications, as well as an appendix on elements of statistical physics included at the end to make the book self-contained.

Author : Assa Auerbach
Publisher : Springer Science & Business Media
Page : 249 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461208693

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Interacting Electrons and Quantum Magnetism by Assa Auerbach Pdf

In the excitement and rapid pace of developments, writing pedagogical texts has low priority for most researchers. However, in transforming my lecture l notes into this book, I found a personal benefit: the organization of what I understand in a (hopefully simple) logical sequence. Very little in this text is my original contribution. Most of the knowledge was collected from the research literature. Some was acquired by conversations with colleagues; a kind of physics oral tradition passed between disciples of a similar faith. For many years, diagramatic perturbation theory has been the major theoretical tool for treating interactions in metals, semiconductors, itiner ant magnets, and superconductors. It is in essence a weak coupling expan sion about free quasiparticles. Many experimental discoveries during the last decade, including heavy fermions, fractional quantum Hall effect, high temperature superconductivity, and quantum spin chains, are not readily accessible from the weak coupling point of view. Therefore, recent years have seen vigorous development of alternative, nonperturbative tools for handling strong electron-electron interactions. I concentrate on two basic paradigms of strongly interacting (or con strained) quantum systems: the Hubbard model and the Heisenberg model. These models are vehicles for fundamental concepts, such as effective Ha miltonians, variational ground states, spontaneous symmetry breaking, and quantum disorder. In addition, they are used as test grounds for various nonperturbative approximation schemes that have found applications in diverse areas of theoretical physics.

Author : Anonim
Publisher : Elsevier
Page : 512 pages
File Size : 43,6 Mb
Release : 2012-12-02
Category : Science
ISBN : 9780444598264

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Spin Waves and Magnetic Excitations by Anonim Pdf

Modern Problems in Condensed Matter Sciences, Volume 22.2: Spin Waves and Magnetic Excitations focuses on the processes, methodologies, reactions, principles, and approaches involved in spin waves and magnetic excitations, including magnetic systems, fluctuations, resonance, and spin dynamics. The selection first elaborates on spin-wave resonance in metals, excitations in low-dimensional magnetic systems, and the theory of magnetic excitations in disordered systems. Topics include spin waves in ferromagnets with weak fluctuations of the exchange interaction; dynamics of propagating excitations; models of two-dimensional magnetic systems; spin-wave resonance in bulk metals; and standing spin-wave resonance in thin films. The manuscript then ponders on spin dynamics of amorphous magnets and magnetic excitations in spin glasses, including dynamics in reentrant spin glasses, dynamics of classical spin glasses, spin dynamical theory, spin dynamics of locally isotropic materials, and effects of dilution. The book takes a look at nuclear spin and magnetoelastic excitations and magnetic impuritons in antiferromagnetic dielectric crystals. Discussions focus on coherent and incoherent impurity excitations, equations of motion and the energy of a magnetoelastic medium, magnetoelastic excitations near magnetic orientational phase transitions, and the effect of frequency pulling on the behavior of nuclear spin echo signals. The selection is a vital source of data for researchers interested in spin waves and magnetic excitations.

Author : Cirano De Dominicis,Irene Giardina
Publisher : Cambridge University Press
Page : 5 pages
File Size : 48,8 Mb
Release : 2006-10-26
Category : Science
ISBN : 9781139459914

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Random Fields and Spin Glasses by Cirano De Dominicis,Irene Giardina Pdf

Disordered magnetic systems enjoy non-trivial properties which are different and richer than those observed in their pure, non-disordered counterparts. These properties dramatically affect the thermodynamic behaviour and require specific theoretical treatment. This book deals with the theory of magnetic systems in the presence of frozen disorder, in particular paradigmatic and well-known spin models such as the Random Field Ising Model and the Ising Spin Glass. This is a unified presentation using a field theory language which covers mean field theory, dynamics and perturbation expansion within the same theoretical framework. Particular emphasis is given to the connections between different approaches such as statics vs. dynamics, microscopic vs. phenomenological models. The book introduces some useful and little-known techniques in statistical mechanics and field theory. This book will be of great interest to graduate students and researchers in statistical physics and basic field theory.

Author : H. T. Diep
Publisher : World Scientific Publishing Company Incorporated
Page : 617 pages
File Size : 54,5 Mb
Release : 2013
Category : Science
ISBN : 9814440736

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Frustrated Spin Systems by H. T. Diep Pdf

This book covers all principal aspects of currently investigated frustrated systems, from exactly solved frustrated models to real experimental frustrated systems, going through renormalization group treatment, Monte Carlo investigation of frustrated classical Ising and vector spin models, low-dimensional systems, spin ice and quantum spin glass. The reader can within a single book obtain a global view of the current research development in the field of frustrated systems. This new edition is updated with recent theoretical, numerical and experimental developments in the field of frustrated spin systems. The first edition of the book appeared in 2005. In this edition, more recent works until 2012 are reviewed. It contains nine chapters written by researchers who have actively contributed to the field. Many results are from recent works of the authors. The book is intended for postgraduate students as well as researchers in statistical physics, magnetism, materials science and various domains where real systems can be described with the spin language. Explicit demonstrations of formulas and full arguments leading to important results are given where it is possible to do so.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 41,8 Mb
Release : 2024-06-26
Category : Electronic
ISBN : 9789814590921

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Spin Systems by Anonim Pdf

Author : Hans C. Fogedby
Publisher : Springer
Page : 184 pages
File Size : 43,6 Mb
Release : 1980
Category : Science
ISBN : UOM:39015017253165

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Theoretical Aspects of Mainly Low Dimensional Magnetic Systems by Hans C. Fogedby Pdf

Author : Daniel C. Mattis
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 44,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642832383

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The Theory of Magnetism I by Daniel C. Mattis Pdf

Starting with a historical introduction to the study of magnetism - one of the oldest sciences known to man - before considering the most modern theories and observations (magnetic bubbles and soap films, effects of magnetic impurities in metals and spin glasses), this book develops the concepts and the mathematical expertise necessary to understand contemporary research in this field. Magnetic systems are important in technology and applied science, but they are also prototypes of more complex mathematical structures of great importance to theoretical physics. These connections are made repeatedly in this volume. After development of the necessary quantum theory of angular momentum and of interacting electron systems, a number of models which have been successful in the interpretation of experimental results are introduced: the Ising model, the Heisenberg model, the Stoner theory, the Kondo phenomenon, and so on. In the second edition the thorough approach and the main features which made the first edition a popular text have been retained. All important theories are worked out in detail using methods and notation that are uniform throughout. Footnotes and an extensive bibliography provide a guide to the original literature. A number of problems test the reader's skill.

Author : Dionys Baeriswyl,Alan R. Bishop,J. Camelo
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 40,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468457636

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Applications of Statistical and Field Theory Methods to Condensed Matter by Dionys Baeriswyl,Alan R. Bishop,J. Camelo Pdf

There is no doubt that we have, during the last decade, moved into a "golden age" of condensed matter science. The sequence of discoveries of novel new states of matter and their rapid assimilation into experimental and theoretical research, as well as devices, has been remarkable. To name but a few: spin glasses; incommensurate, fractal, quasicrystal structures; synthetic metals; quantum well fabrication; fractional quantum Hall effect: solid state chaos; heavy fermions; and most spectacularly high-temperature superconductivity. This rapid evolution has been marked by the need to address the reality of materials in "extreme" conditions - - disordered, nonlinear systems in reduced dimensions, restricted geometries and at mesoscopic scales, often with striking competitions between several length and frequency scales, and between strong electron-phonon and electron-electron interactions. In such new territory it is not surprising that very interdisciplinary approaches are being explored and traditional boundaries between subjects and disciplines re-defined. In theory, this is evident, for instance, in attempts: (1) to advance the state of the art for elec tronic structure calculations so as to handle strongly interacting many-body systems and delicate competitions for collective ground states (spin models or many-electron Hamiltoni ans, field theory, band structure, quantum chemistry and numerical approaches); or (2) to understand pattern formation and complex (including chaotic) dynamics in extended sys tems. This demands close involvement with applied mathematics, numerical simulations and statistical mechanics techniques.

Author : Norberto Majlis
Publisher : World Scientific Publishing Company
Page : 392 pages
File Size : 43,7 Mb
Release : 2007-09-06
Category : Science
ISBN : 9789813106697

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The Quantum Theory of Magnetism by Norberto Majlis Pdf

This advanced level textbook is devoted to the description of systems which show ordered magnetic phases. A wide selection of topics is covered, including a detailed treatment of the mean-field approximation as the main paradigm for the phenomenological description of phase transitions. The book discusses the properties of low-dimensional systems and uses Green's functions extensively after a useful mathematical introduction. A thorough presentation of the RKKY and related models of indirect exchange is also featured, and a chapter on surface magnetism, rarely found in other textbooks, adds to the uniqueness of this book. For the second edition, three new chapters have been added, namely on magnetic anisotropy, on coherent magnon states and on local moments. Additionally, the chapter on itinerant magnetism has been enlarged by including a section on paramagnons.

Author : John B. Parkinson,Damian J. J. Farnell
Publisher : Springer Science & Business Media
Page : 159 pages
File Size : 53,5 Mb
Release : 2010-09-20
Category : Science
ISBN : 9783642132896

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An Introduction to Quantum Spin Systems by John B. Parkinson,Damian J. J. Farnell Pdf

The topic of lattice quantum spin systems is a fascinating and by now well established branch of theoretical physics. Based on a set of lectures, this book has a level of detail missing from others, and guides the reader through the fundamentals of the field.