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Strongly Correlated Systems
This volume presents, for the very first time, an exhaustive collection of those modern numerical methods specifically tailored for the analysis of Strongly Correlated Systems. Many novel materials, with functional properties emerging from macroscopic quantum behaviors at the frontier of modern research in physics, chemistry and material science, belong to this class of systems. Any technique is presented in great detail by its own inventor or by one of the world-wide recognized main contributors. The exposition has a clear pedagogical cut and fully reports on the most relevant case study where the specific technique showed to be very successful in describing and enlightening the puzzling physics of a particular strongly correlated system. The book is intended for advanced graduate students and post-docs in the field as textbook and/or main reference, but also for other researchers in the field who appreciate consulting a single, but comprehensive, source or wishes to get acquainted, in a as painless as possible way, with the working details of a specific technique.
Models and Phenomenology for Conventional and High-temperature Superconductivity
The search for microscopic models to explain the many superconducting substances has introduced seminal concepts and techniques in many-body physics and in statistical mechanics. The complexity of the high-temperature superconductors has required a remarkable refinement of experimental techniques in order to allow a reliable characterization of the samples, and is partly the reason why so many different microscopic models have so far been proposed. This Enrico Fermi Course on Superconductivity was provided an up-to date presentation of selected experimental and theoretical theories on the (so called) conventional superconductivity and on the high temperature superconductivity. The attention ...
Spectral Approach to Transport Problems in Two-Dimensional Disordered Lattices
This book introduces the spectral approach to transport problems in infinite disordered systems characterized by Anderson-type Hamiltonians. The spectral approach determines (with probability one) the existence of extended states for nonzero disorder in infinite lattices of any dimension and geometry. Here, the author focuses on the critical 2D case, where previous numerical and experimental results have shown disagreement with theory. Not being based on scaling theory, the proposed method avoids issues related to boundary conditions and provides an alternative approach to transport problems where interaction with various types of disorder is considered. Beginning with a general overview of ...
High Performance Computing in Science and Engineering '10
This book presents the state-of-the-art in simulation on supercomputers. Leading researchers present results achieved on systems of the High Performance Computing Center Stuttgart (HLRS) for the year 2010. The reports cover all fields of computational science and engineering, ranging from CFD to computational physics and chemistry to computer science, with a special emphasis on industrially relevant applications. Presenting results for both vector systems and microprocessor-based systems, the book makes it possible to compare the performance levels and usability of various architectures. As HLRS operates the largest NEC SX-8 vector system in the world, this book gives an excellent insight into the potential of vector systems, covering the main methods in high performance computing. Its outstanding results in achieving the highest performance for production codes are of particular interest for both scientists and engineers. The book includes a wealth of color illustrations and tables.
Models and Methods of High-Tc Superconductivity
The articles in this exceptional book contain regular papers, extended papers and reviews, and thus vary in length and are useful for all kinds of audience. They describe, as the book's name suggests, HTSC models and methodologies. Physical models (like extended BCS model, bipolaron model, spin bag model, RVB (resonating valence bond) model, preformed Cooper pairs and antiferromagnetic spin fluctuation (AFSF) based models, stripe phase, paired cluster (spin glass (SG) frustration based) model, Kamimura-Suwa (Hund's coupling mechanism based) model, electron- plasmon interaction, electron- phonon interaction, etc.), theoretical methods (methodologies) (like generalised BCS-Migdal-Eliashberg theory, Hubbard model, t-J model, t-t'-U model, Hubbard-Holstein model, Fermi-, non Fermi- and marginal Fermi- liquid concepts, generalised Hartree-Fock formalism, etc.) and, experimental status and methodologies are all described there. For comparison with cuprates, fullerenes, ruthenates, organic-, non Cu-containing oxide-and conventional (elemental, A15)- superconductors, molecular crystals, nickelates, manganites, borides etc. are also discussed.
Topics and Methods in Condensed Matter Theory
This book provides course material in theoretical physics intended for undergraduate and graduate students specializing in condensed matter. The book derives from teaching activity, offering readable and mathematical treatments explained in sufficient detail to be followed easily. The main emphasis is always on the physical meaning and applicability of the results. Many examples are provided for illustration; these also serve as worked problems. Discussion extends to atomic physics, relativistic quantum mechanics, elementary QED, electron spectroscopy, nonlinear optics, and various aspects of the many-body problem. Methods such as group representation theory, Green’s functions, the Keldysh formalism and recursion techniques were also imparted.
Lectures on the Physics of Highly Correlated Electron Systems X
This book contains lectures on strongly correlated electron systems presented by eminent physicists. These lectures are up-to-date summaries of relevant subjects in the field of condensed matter physics intended to train students. Contributions include: Strongly correlated electron behaviors and heavy Fermions in anomalous rare-earth and actinide systems; strong correlations in low dimensional systems; functional renormalization group approach to correlated electron systems; and numerical approaches to coupled quantum systems.
Lectures on the Physics of Highly Correlated Electron Systems X
This book contains lectures on strongly correlated electron systems presented by eminent physicists. These lectures are up-to-date summaries of relevant subjects in the field of condensed matter physics intended to train students. Contributions include: Strongly correlated electron behaviors and heavy Fermions in anomalous rare-earth and actinide systems; strong correlations in low dimensional systems; functional renormalization group approach to correlated electron systems; and numerical approaches to coupled quantum systems.
Lectures on the Physics of Highly Correlated Electron Systems IX
This book contains lectures on strongly correlated electron systems presented by eminent physicists. These lectures are up-to-date summaries of relevant subjects in the field of condensed matter physics. Contributions include: BCS theory of nodal superconductors; strongly correlated particle systems and composite operator methods; diagonalization- and numerical renormalization-group-based methods for interacting quantum systems; as well as phenomenological aspects of unconventional superconductivity.
Lectures on the Physics of Highly Correlated Electron Systems VIII
The papers were peer reviewed by a local panel. The objective of the meeting was to promote the progress of young scientists by means of training through research. The lectures are up-to-date monographs of relevant subjects in the field of condensed matter physics. Contributions include the following lectures: Electron-Phonon Interaction and Strong Correlations in High-Temperature Superconductors: One cannot avoid the unavoidable (The properties of the normal state and pairing mechanism in high-Tc superconductors, Forward scattering peak in the EPI, The FSP theory, The ARPES non-shift puzzle, Interesting predictions of the FSP theory); Strongly Correlated Electron Materials: Dynamical Mean-F...
