Theory Of Critical Phenomena In Finite-size Systems: Scaling And Quantum Effects

Theory Of Critical Phenomena In Finite-size Systems: Scaling And Quantum Effects

Author: Jordan G Brankov

Publisher: World Scientific

Published: 2000-08-21

Total Pages: 459

ISBN-13: 9814494569

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The aim of this book is to familiarise the reader with the rich collection of ideas, methods and results available in the theory of critical phenomena in systems with confined geometry. The existence of universal features of the finite-size effects arising due to highly correlated classical or quantum fluctuations is explained by the finite-size scaling theory. This theory (1) offers an interpretation of experimental results on finite-size effects in real systems; (2) gives the most reliable tool for extrapolation to the thermodynamic limit of data obtained by computer simulations; (3) reveals the intimate mechanism of how the critical singularities build up in the thermodynamic limit; and (4) can be fruitfully used to explain the low-temperature behaviour of quantum critical systems.The exposition is given in a self-contained form which presumes the reader's knowledge only in the framework of standard courses on the theory of phase transitions and critical phenomena. The instructive role of simple models, both classical and quantum, is demonstrated by putting the accent on the derivation of rigorous and exact analytical results.


Solid State Physics of Finite Systems

Solid State Physics of Finite Systems

Author: R.A. Broglia

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 238

ISBN-13: 3662099381

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Quantum mechanics is the set of laws of physics which, to the best of our knowledge, provides a complete account of the microworld. One of its chap ters, quantum electrodynamics (QED), is able to account for the quantal phenomena of relevance to daily life (electricity, light, liquids and solids, etc.) with great accuracy. The language of QED, field theory, has proved to be uni versal providing the theoretical basis to describe the behaviour of many-body systems. In particular finite many-body systems (FMBS) like atomic nuclei, metal clusters, fullerenes, atomic wires, etc. That is, systems made out of a small number of components. The properties of FMBS are expected to be quite different from those of bulk matter, being strongly conditioned by quantal size effects and by the dynamical properties of the surface of these systems. The study of the elec tronic and of the collective behaviour (plasmons and phonons) of FMBS and of their interweaving, making use of well established first principle quantum (field theoretical) techniques, is the main subject of the present monograph. The interest for the study of FMBS was clearly stated by Feynman in his address to the American Physical Society with the title "There is plenty of room at the bottom". On this occasion he said among other things: "When we get to the very, very small world - say circuits of seven atoms - we have a lot of new things that would happen that represent completely new opportunities for design" [1].


Solid State Physics

Solid State Physics

Author: Giuseppe Grosso

Publisher: Academic Press

Published: 2013-10-17

Total Pages: 873

ISBN-13: 0123850312

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Solid State Physics is a textbook for students of physics, material science, chemistry, and engineering. It is the state-of-the-art presentation of the theoretical foundations and application of the quantum structure of matter and materials. This second edition provides timely coverage of the most important scientific breakthroughs of the last decade (especially in low-dimensional systems and quantum transport). It helps build readers' understanding of the newest advances in condensed matter physics with rigorous yet clear mathematics. Examples are an integral part of the text, carefully designed to apply the fundamental principles illustrated in the text to currently active topics of research. Basic concepts and recent advances in the field are explained in tutorial style and organized in an intuitive manner. The book is a basic reference work for students, researchers, and lecturers in any area of solid-state physics. - Features additional material on nanostructures, giving students and lecturers the most significant features of low-dimensional systems, with focus on carbon allotropes - Offers detailed explanation of dissipative and nondissipative transport, and explains the essential aspects in a field, which is commonly overlooked in textbooks - Additional material in the classical and quantum Hall effect offers further aspects on magnetotransport, with particular emphasis on the current profiles - Gives a broad overview of the band structure of solids, as well as presenting the foundations of the electronic band structure. Also features reported with new and revised material, which leads to the latest research


Introduction To Solid State Physics

Introduction To Solid State Physics

Author: Amnon Aharony

Publisher: World Scientific

Published: 2018-08-03

Total Pages: 640

ISBN-13: 9813272260

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'Written by two professors emeriti with a long and distinguished career both in research and teaching, the book clearly shows the wide experience of its authors … This is a good book, carefully prepared, full of details and appropriate for its scope. Those who will profit the most from it are the students who are obliged (or prefer) to study independently. They will appreciate the clarity of exposition and will find the numerous problems both stimulating and rewarding. What sets the book apart are undoubtedly the detailed solutions to all of the problems.'Contemporary PhysicsThis is an introductory book on solid state physics. It is a translation of a Hebrew version, written for the Open University in Israel. Aimed mainly for self-study, the book contains appendices with the necessary background, explains each calculation in detail and contains many solved problems. The bulk of the book discusses the basic concepts of periodic crystals, including lattice structures, radiation scattering off crystals, crystal bonding, vibrations of crystals, and electronic properties. On the other hand, the book also presents brief reviews of advanced topics, e.g. quasicrystals, soft condensed matter, mesoscopic physics and the quantum Hall effect. There are also many specific examples drawn from modern research topics, e.g. perovskite oxides relevant for high temperature superconductivity, graphene, electrons in low dimensions and more.


Advanced Solid State Physics

Advanced Solid State Physics

Author: Philip Phillips

Publisher: Cambridge University Press

Published: 2012-03

Total Pages: 415

ISBN-13: 0521194903

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Introduces students to the key research topics within modern solid state physics with the minimum of mathematics.


Quantum Theory of Many-Particle Systems

Quantum Theory of Many-Particle Systems

Author: Alexander L. Fetter

Publisher: Courier Corporation

Published: 2012-03-08

Total Pages: 626

ISBN-13: 048613475X

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Self-contained treatment of nonrelativistic many-particle systems discusses both formalism and applications in terms of ground-state (zero-temperature) formalism, finite-temperature formalism, canonical transformations, and applications to physical systems. 1971 edition.


Introduction to Solid State Physics

Introduction to Solid State Physics

Author: Charles Kittel

Publisher: Wiley

Published: 2004-11-11

Total Pages: 704

ISBN-13: 9780471415268

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Since the publication of the first edition over 50 years ago, Introduction to Solid State Physics has been the standard solid state physics text for physics students. The author's goal from the beginning has been to write a book that is accessible to undergraduates and consistently teachable. The emphasis in the book has always been on physics rather than formal mathematics. With each new edition, the author has attempted to add important new developments in the field without sacrificing the book's accessibility and teachability. * A very important chapter on nanophysics has been written by an active worker in the field. This field is the liveliest addition to solid state science during the past ten years * The text uses the simplifications made possible by the wide availability of computer technology. Searches using keywords on a search engine (such as Google) easily generate many fresh and useful references


Many-Body Quantum Theory in Condensed Matter Physics

Many-Body Quantum Theory in Condensed Matter Physics

Author: Henrik Bruus

Publisher: Oxford University Press

Published: 2004-09-02

Total Pages: 458

ISBN-13: 0198566336

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The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.


Solid State Properties

Solid State Properties

Author: Mildred Dresselhaus

Publisher: Springer

Published: 2018-01-17

Total Pages: 521

ISBN-13: 3662559226

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This book fills a gap between many of the basic solid state physics and materials sciencebooks that are currently available. It is written for a mixed audience of electricalengineering and applied physics students who have some knowledge of elementaryundergraduate quantum mechanics and statistical mechanics. This book, based on asuccessful course taught at MIT, is divided pedagogically into three parts: (I) ElectronicStructure, (II) Transport Properties, and (III) Optical Properties. Each topic is explainedin the context of bulk materials and then extended to low-dimensional materials whereapplicable. Problem sets review the content of each chapter to help students to understandthe material described in each of the chapters more deeply and to prepare them to masterthe next chapters.