Finite Size Effects In Correlated Electron Models: Exact Results

Finite Size Effects In Correlated Electron Models: Exact Results PDF Author: Andrei Zvyagin
Publisher: World Scientific
ISBN: 1783260475
Category : Science
Languages : en
Pages : 380

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Book Description
The book presents exact results for one-dimensional models (including quantum spin models) of strongly correlated electrons in a comprehensive and concise manner. It incorporates important results related to magnetic and hybridization impurities in electron hosts and contains exact original results for disordered ensembles of impurities in interacting systems. These models describe a number of real low-dimensional electron systems that are widely used in nanophysics and microelectronics.An important method of modern theoretical and mathematical physics — the Bethe's Ansatz (BA) — is introduced to readers. This book presents different forms of the BA for periodic and open quantum chains. Other forms dealt with are the co-ordinate BA, thermodynamic BA, nested BA, algebraic BA, and thermal BA. The book also contains a compact description of other theoretical methods such as scaling, conformal field theory, Abelian and non-Abelian bosonizations.The book is suitable for use as a textbook by graduate students in non-perturbative methods of low-dimensional quantum many-body theory. It will also be a useful source of reference for qualified physicists, as well as non-experts in low-dimensional physics, as it explores material necessary for further studies in the fields of exactly solvable quantum models and low-dimensional correlated electron systems.

Finite Size Effects in Correlated Electron Models

Finite Size Effects in Correlated Electron Models PDF Author: Andrei A. Zvyagin
Publisher: World Scientific
ISBN: 1860945031
Category : Science
Languages : en
Pages : 380

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Book Description
The book presents exact results for one-dimensional models (including quantum spin models) of strongly correlated electrons in a comprehensive and concise manner. It incorporates important results related to magnetic and hybridization impurities in electron hosts and contains exact original results for disordered ensembles of impurities in interacting systems. These models describe a number of real low-dimensional electron systems that are widely used in nanophysics and microelectronics.An important method of modern theoretical and mathematical physics — the Bethe's Ansatz (BA) — is introduced to readers. This book presents different forms of the BA for periodic and open quantum chains. Other forms dealt with are the co-ordinate BA, thermodynamic BA, nested BA, algebraic BA, and thermal BA. The book also contains a compact description of other theoretical methods such as scaling, conformal field theory, Abelian and non-Abelian bosonizations.The book is suitable for use as a textbook by graduate students in non-perturbative methods of low-dimensional quantum many-body theory. It will also be a useful source of reference for qualified physicists, as well as non-experts in low-dimensional physics, as it explores material necessary for further studies in the fields of exactly solvable quantum models and low-dimensional correlated electron systems.

Strongly Correlated Electron Systems Ii - Proceedings Of The Adriatico Conference And Miniworkshop

Strongly Correlated Electron Systems Ii - Proceedings Of The Adriatico Conference And Miniworkshop PDF Author: G Baskaran
Publisher: World Scientific
ISBN: 9814569348
Category : Science
Languages : en
Pages : 444

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Book Description
This is the second in a series of miniworkshops and Adriatico conferences devoted to the exciting field of strongly correlated electron systems including quantum Hall effect, metal insulator transition, heavy fermions and high Tc superconductivity. In spite of enormous efforts made by physicists worldwide to solve these difficult problems, many important issues are still widely open and this topic remains the most active field in condensed matter physics. The review talks and reports on original research given by the experts in the field represent a state-of-the-art summary of this fast-moving field.

Single-Ion Solvation

Single-Ion Solvation PDF Author: Philippe Hunenberger
Publisher: Royal Society of Chemistry
ISBN: 1782624961
Category : Science
Languages : en
Pages : 614

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Book Description
Ions are ubiquitous in chemical, technological, ecological and biological processes. Characterizing their role in these processes in the first place requires the evaluation of the thermodynamic parameters associated with the solvation of a given ion. However, due to the constraint of electroneutrality, the involvement of surface effects and the ambiguous connection between microscopic and macroscopic descriptions, the determination of single-ion solvation properties via both experimental and theoretical approaches has turned out to be a very difficult and highly controversial problem. This unique book provides an up-to-date, compact and consistent account of the research field of single-ion solvation thermodynamics that has over one hundred years of history and still remains largely unsolved. By reviewing the various approaches employed to date, establishing the relevant connections between single-ion thermodynamics and electrochemistry, resolving conceptual ambiguities, and giving an exhaustive data compilation (in the context of alkali and halide hydration), this book provides a consistent synthesis, in depth understanding and clarification of a large and sometimes very confusing research field. The book is primarily aimed at researchers (professors, postgraduates, graduates, and industrial researchers) concerned with processes involving ionic solvation properties (these are ubiquitous, eg. in physical/organic/analytical chemistry, electrochemistry, biochemistry, pharmacology, geology, and ecology). Because of the concept definitions and data compilations it contains, it is also a useful reference book to have in a university library. Finally, it may be of general interest to anyone wanting to learn more about ions and solvation. Key features: - discusses both experimental and theoretical approaches, and establishes the connection between them - provides both an account of the past research (covering over one hundred years) and a discussion of current directions (in particular on the theoretical side) - involves a comprehensive reference list of over 2000 citations - employs a very consistent notation (including table of symbols and unambiguous definitions of all introduced quantities) - provides a discussion and clarification of ambiguous concepts (ie. concepts that have not been defined clearly, or have been defined differently by different authors, leading to confusion in past literature) - encompasses an exhaustive data compilation (in the restricted context of alkali and halide hydration), along with recommended values (after critical analysis of this literature data) - is illustrated by a number of synoptic colour figures, that will help the reader to grasp the connections between different concepts in one single picture

Nuclear Science Abstracts

Nuclear Science Abstracts PDF Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 1174

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Book Description


International Assessment of Research and Development in Catalysis by Nanostructured Materials

International Assessment of Research and Development in Catalysis by Nanostructured Materials PDF Author: Robert Davis
Publisher: World Scientific
ISBN: 1848166893
Category : Science
Languages : en
Pages : 329

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Book Description
Catalyst technologies account for over $1 trillion of revenue in the U.S. economy alone. The applications range from medicines and alternative energy fuel cell technologies to the development of new and innovative clothing fibers. In this book, a World Technology Evaluation Center (WTEC) panel of eight experts in the field assesses the current state of research and development in catalysis by nanostructured materials, its sources of funding, and discusses the state of the field with respect to productivity and leadership in various nations around the world. In addition to showing the numerous and highly advantageous practical applications of the field, the panel concludes that Western Europe is currently the most productive region, followed closely by the United States. Still, the research and development output of the People's Republic of China has recently surpassed that of Japan and is now poised to surpass that of the U.S. as well. As such, this assessment is a timely review of the field's progress, taking into account the increasing contributions from Asia, and will be essential reading for professionals, whether they are seeking an in-depth summary of the state of the art or a broad view of trends affecting the discipline.

Conjugated Conducting Polymers

Conjugated Conducting Polymers PDF Author: Helmut Kiess
Publisher: Springer Science & Business Media
ISBN: 3642467296
Category : Science
Languages : en
Pages : 320

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Book Description
This book reviews the current understanding of electronic, optical and magnetic properties of conjugated polymers in both the semiconducting and metallic states. It introduces in particular novel phenomena and concepts in these quasi one-dimensional materials that differ from the well-established concepts valid for crystalline semiconductors. After a brief introductory chapter, the second chapter presents basic theore tical concepts and treats in detail the various models for n-conjugated polymers and the computational methods required to derive observable quantities. Specific spatially localized structures, often referred to as solitons, polarons and bipolarons, result naturally from the interaction between n-electrons and lattice displacements. For a semi-quantitative understanding of the various measure ments, electron-electron interactions have to be incorporated in the models; this in turn makes the calculations rather complicated. The third chapter is devoted to the electrical properties of these materials. The high metallic conductivity achieved by doping gave rise to the expression conducting polymers, which is often used for such materials even when they are in their semiconducting or insulating state. Although conductivity is one of the most important features, the reader will learn how difficult it is to draw definite conclusions about the nature of the charge carriers and the microscopic transport mechanism solely from electrical measurements. Optical properties are discussed in the fourth chapter.

The Mott Metal-Insulator Transition

The Mott Metal-Insulator Transition PDF Author: Florian Gebhard
Publisher: Springer
ISBN: 3540148582
Category : Technology & Engineering
Languages : en
Pages : 338

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Book Description
Little do we reliably know about the Mott transition, and we are far from a complete understanding of the metal --insulator transition due to electr- electron interactions. Mott summarized his basic ideas on the subject in his wonderful book Metal--Insulator nansitions that first appeared in 1974 11. 1). In his view, a Motk insulator displays a gap for charge-carrying excitations due to electron cowelations, whose importance is expressed by the presence of local magnetic moments regardless of whether or not they are ordered. Since the subject is far from being settled, different opinions on specific aspects of the Mott transition still persist. This book naturally embodies my own understanding of the phenomenon, inspired by the work of the late Sir Kevill Mott. The purpose of this book is twofold: first, to give a detailed presen- tion of the basic theoretical concopts for Mott insulators and, second, to test these ideas against the results from model calculations. For this purpose the Hubbard model and some of its derivatives are best suited. The Hubbard model describes a Mott transition with a mere minimum of tunable par- eters, and various exact statements and even exact solutions exist in certain limiting cases. Exact solutions not only allow us to test our basic ideas, but also help to assess the quality of approxin~ate theories for correlated electron systems.

Physics of High-Temperature Superconductors

Physics of High-Temperature Superconductors PDF Author: Sadamichi Maekawa
Publisher: Springer Science & Business Media
ISBN: 3642847188
Category : Technology & Engineering
Languages : en
Pages : 427

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Book Description
Advances through carefully conducted quantitative work on well designed, high quality materials characterize the present state of high-temperature superconductivity research. The contributions to this volume present a theoretical and experimental overview of electronic structure and physical properties, including anisotropic features, of high-temperative materials, with a focus on cuprates. In order to enhance the understanding of the mechanisms of superconductivity at high temperatures, this volume is divided into theoretical and experimental parts. The contributions to the two parts correspond to each other, giving readers involved in either area of research activity a reference to findingsof the other. On the other hand, this book gives young physicists high-level information on the present state of research, enhanced by tutorial contributions of leading physicists in the field.

High-Temperature Cuprate Superconductors

High-Temperature Cuprate Superconductors PDF Author: Nikolay Plakida
Publisher: Springer Science & Business Media
ISBN: 3642126332
Category : Technology & Engineering
Languages : en
Pages : 570

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Book Description
High-Temperature Cuprate Superconductors provides an up-to-date and comprehensive review of the properties of these fascinating materials. The essential properties of high-temperature cuprate superconductors are reviewed on the background of their theoretical interpretation. The experimental results for structural, magnetic, thermal, electric, optical and lattice properties of various cuprate superconductors are presented with respect to relevant theoretical models. A critical comparison of various theoretical models involving strong electron correlations, antiferromagnetic spin fluctuations, phonons and excitons provides a background for understanding of the mechanism of high-temperature superconductivity. Recent achievements in their applications are also reviewed. A large number of illustrations and tables gives valuable information for specialists. A text-book level presentation with formulation of a general theory of strong-coupling superconductivity will help students and researches to consolidate their knowledge of this remarkable class of materials.