Lectures On The Physics Of Highly Correlated Electron Systems V

Author : V J Emery
Publisher : World Scientific
ISBN 13 : 9814553697
Total Pages : 364 pages
Book Rating : 4.8/5 (145 download)

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Download or read book Correlated Electron Systems written by V J Emery and published by World Scientific. This book was released on 1993-08-30 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the correlated motion of electrons in solids is of increasing importance in condensed matter physics. In the past few years, the discovery of high-temperature superconductors has stimulated an enormous theoretical effort in this area, building on earlier theories of heavy-fermion and organic superconductors, and magnetic insulators. In a separate development the discovery of the fractional quantum Hall effect stimulated research into the behavior of the two-dimensional electron gas in a strong transverse magnetic field. The lectures at this school gave a systematic presentation of the current status of the theory in these areas. They covered the fractional quantum Hall effect and the many-body physics of the Hubbard model and its extensions, paying particular attention to the properties of doped insulators which are relevant for high-temperature superconductivity. There were detailed discussions of situations for which controlled calculations may be carried out — specifically infinite dimensions, one dimension, and generalized models in which the fermions have N components and N → •. Contents:Charge Fluctuation Models of Superconductivity (P B Littlewood)Investigation of Correlated Electron Systems Using the Limit of High Dimensions (D Vollhardt)The Large N Expansion in the Strong Correlation Problem (G Kotliar)The Semiclassical Expansion of the T-J Model (A Auerbach)The Many-Body Problem in One Dimension (V J Emery)Interacting Fermions in One Dimension: From Weak to Strong Correlation (H J Schulz)The Quantum Hall Effect: The Article (A Karlhede et al) Readership: Condensed matter, theoretical and experimental physicists. keywords: “These articles not only cover a wide range of well-established mathematical techniques which are employed in dealing with (strongly) correlated systems, but also consider the physics of some problems of current interest, in particular — but not exclusively — those that are inaugurated by the three successive discoveries in the last decade (in order): those of the integer and fractional quantum Hall effects and that of superconductivity at relatively high temperatures — Tc>23K (1980, 1982, 1986). Specific features of materials which upon doping are transformed into high-Tc superconductors have given rise to a surge of interest in the quantum anti-ferromagnetism, and as a consequence models (such as the Hubbard or the t-J model) which address this phenomenon form the testing ground for many of the techniques presented in this collection … All articles in the present volume are self-contained, and the authors keep the readers well-informed of the connections between their work and those discussed by others in the book. Each article begins with a non-technical introduction which gives a clear overview of the subject matters dealt within it and ends with some remarks which not only summarize the work but also suggest some future directions of research. This, along with the clear presentation of the subjects, makes this book an ideal source of information for those who wish to enter into the areas of research dealt within this book. This collection can also be used as the basis for an advanced course in theoretical physics or as a supplement to an already existing course dealing with the (field-) theoretical methods in condensed-matter physics, or the theory of critical phenomena and phase transitions … Students may find it rewarding to organize a series of seminars on the subjects dealt with in the present collection. Presence of a senior physicst at these seminars will undoubtedly contribute to a deeper understanding of the contents of the book.” B Farid