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This book gathers a collection of reprints on the Hubbard Model. The major contributions to the subject since its origin are included, with the aim of providing all scientists working on the model and its applications with easy access to the relevant literature.The book is divided into five parts. The introductory part is concerned with the physical origin and motivations of the model, and contains a collection of mainly historical papers. The remaining four sections are intended to present a coherent scenario of the different approaches to the model solution: exact and rigorous statistical mechanics results; variational methods; perturbative approaches; numerical Quantum Monte Carlo and exact diagonalization studies. Among the applications special emphasis is given to high-Tc superconductivity. Each section is preceded by commentary notes from the editor.
This book contains lectures given at the Institute for Scientific Interchange (I.S.I., Turin) in 1983 - 1984 on the exact solution of the 8-vertex and related models and extensions of the Baxter model to 3 dimensions.
Quantum phase transitions (QPTs) offer wonderful examples of the radical macroscopic effects inherent in quantum physics: phase changes between different forms of matter driven by quantum rather than thermal fluctuations, typically at very low temperatures. QPTs provide new insight into outstanding problems such as high-temperature superconductivit
[Italiano]: Negli ultimi decenni, profonde trasformazioni hanno ridisegnato il mondo accademico e l’ambiente della ricerca. Le riforme delle strutture di finanziamento, della valutazione della ricerca e delle procedure di responsabilità stanno ancora ridisegnando le pratiche del lavoro accademico, ridefinendo i programmi di ricerca e determinando effetti rilevanti sui percorsi di carriera scientifica. Nonostante gli sforzi delle politiche europee verso lo sviluppo di una ricerca più responsabile ed inclusiva, i processi che emergono da queste trasformazioni dei contesti accademici stanno producendo nuove disuguaglianze e rafforzando quelle vecchie. Le nuove regole nel reclutamento e nell...
As its name suggests, the 1988 workshop on "Interacting Electrons in Reduced Dimen the wide variety of physical effects that are associated with (possibly sions" focused on strongly) correlated electrons interacting in quasi-one- and quasi-two-dimensional mate rials. Among the phenomena discussed were superconductivity, magnetic ordering, the metal-insulator transition, localization, the fractional Quantum Hall effect (QHE), Peierls and spin-Peierls transitions, conductance fluctuations and sliding charge-density (CDW) and spin-density (SDW) waves. That these effects appear most pronounced in systems of reduced dimensionality was amply demonstrated at the meeting. Indeed, when concrete illus...
This book offers an in-depth study of two well-known models of “avalanche” dynamics, modified minimally by the inclusion of relaxation. Many complex systems respond to continuous inputs of energy by accumulation of stress over time, interrupted by sudden energy releases called avalanches. The first model studied is the viscoelastic interface driven over disorder, which is shown to display the fundamental features of friction. In the mean-field limit, the friction force derived semi-analytically is compatible with laboratory experiments (displaying both velocity weakening and contact aging). In two dimensions, large-scale numerical simulations are in good agreement with the basic features of real earthquakes (Gutenberg-Richter Law, aftershock migration). The second model is a non-Markovian variant of Directed Percolation, in which we observe that the universality class is only partly modified by relaxation, a promising finding with respect to our first model.
This collection of articles provides authoritative and up-to-date reviews on the Hubbard Model. It will be useful to graduate students and researchers in the field.
Computer Simulation Studies in Condensed-Matter Physics X is devoted to Prof. Masuo Suzuki's ideas, which have made novel, new simulations possible. These proceedings, of the 1997 workshop, comprise three parts that deal with new algorithms, methods of analysis, and conceptual developments. The first part contains invited papers that deal with simulational studies of classical systems. The second of the proceedings is devoted to invited papers on quantum systems, including new results for strongly correlated electron and quantum spin models. The final part contains a large number of contributed presentations.
Proceedings of a NATO ARW held in Florence, Italy, June 7--13, 1990
The aim of the Workshop was to bring together scientists involved in approaching topical problems in mathematical physics by probabilistic methods. Main topics included: Kinetic Theory, Random Systems and Stochastic Mechanics, Nonequilibrium Statistical Mechanics, and Quantum Theory. The book will be an important source for researchers and graduate students in mathematical physics looking for an up to date survey of the subject.