Lectures On The Physics Of Strongly Correlated Systems Xv

The volume contains the lectures delivered at the “XV Training Course in the Physics of Strongly Correlated Systems”, held in Vietri sul Mare (Salerno) Italy, in October 2010. The project of the meeting was to promote the formation of young scientists by means of training through research. These features are reflected in the book: the lectures are up-to-date monographies of relevant subjects in the field of Condensed Matter Physics. Contributions include: The Density Matrix Renormalization Group and its Time-Dependent Variants (Model Hamiltonians, Exact Diagonalization, Truncated Diagonalization: the Numerical, Renormalization Group idea, The Density Matrix Truncation: the kernel of the DMRG, The DMRG algorithm, When and why does the DMRG work?, The time-dependent DMRG, Alps DMRG). Strong Correlations in Solids: A Survey of Experimental Facts (Electrons in metals, Superconductivity, Low-dimensional physical systems). Static and Dynamic Variational Principles for Strongly Correlated Electron Systems (Models and variational methods, Static variational principle, Using the Ritz principle to construct approximations; Dynamical quantities; Self-energy-functional theory; Consistency, symmetry and systematics; Bath sites and dynamical mean-field theory).

The volume contains the lectures delivered at the XII Training Course in the Physics of Strongly Correlated Systems, held in Vietri sul Mare (Salerno) Italy, in October 2007. The focus of the meeting was to promote the formation of young scientists by means of training through research. These features are reflected in the book: the lectures are up-to-date monographies of relevant subjects in the field of Condensed Matter Physics. Contributions include: Quantum Magnetism (Independent spins and Weiss meanfield theory; Finite Heisenberg clusters; Linear spin-wave theory; Classical and quantum Monte Carlo; Entanglement in quantum spin systems); Nanomagnets and Entanglement (The Dynamical Mean Field and Cluster Approximations; Quantum Monte Carlo Algorithms for the Quantum Cluster Problem; Analytic Continuation of Quantum Monte Carlo Data); The Dynamical Cluster Approximation with Quantum Monte Carlo Cluster Solvers (Fermi liquids; Fermi-liquid instabilities at quantum phase transitions: theory; Fermi-liquid instabilities at quantum phase transitions: experiment; Metal-insulator transition in heavily doped semiconductors); Quantum phase transitions; Correlated thermoelectric (Phenomenological equations; Physical interpretation; Solution of transport equations; Linear response theory; Current operators; Mahan-Jonson theorem; Microscopic solution for transport coefficients).

The volume contains the lectures delivered at the XIII Training Course in the Physics of Strongly Correlated Systems, held in Vietri sul Mare (Salerno) Italy, in October 2008. The project of the meeting was to promote the formation of young scientists by means of training through research. These features are reflected in the book: the lectures are up-to-date monographies of relevant subjects in the field of Condensed Matter Physics. Contributions include: Quantum Magnetism in insulators (Single impurities in semiconductors and insulators; One- Two- and Three-dimensional magnets and quantum phase transitions; Undoped and doped Kondo insulators); Novel quantum condensates in excitonic matter (The physical systems: excitonic insulators, the Dicke model, exciton and polariton BEC; Second quantization, coherent states and path integral; exciton and polariton condensates in mean field theory; Open systems and Keldysh formulation; Phase-breaking and open system dynamics); Introduction to unconventional superconductivity (Generalized BCS theory; Phenomenological approach and symmetry aspects; Generalized Ginzburg-Landau theory; Josephson and tunneling effects); Quantum Monte-Carlo simulations (Classical and quantum cluster algorithms; The worm algorithm; Optimized ensembles for classical and quantum Monte-Carlo simulations; Continuous time QMC solvers for quantum impurity problems and DMFT).

The volume contains the lectures delivered at the XIV Training Course in the Physics of Strongly Correlated Systems, held in Vietri sul Mare (Salerno) Italy, in October 2009. The project of the meeting was to promote the formation of young scientists by means of training through research. These features are reflected in the book: the lectures are up-to-date monographs of relevant subjects in the field of Condensed Matter Physics. Contributions include: Electronic Structure of Strongly Correlated Materials (Electronic structure calculations in one-electron approximation; Hubbard model in Dynamical Mean-Field Theory (DMFT); Electronic structure calculations for real materials by LDA+DMFT method); Computational Studies of Quantum Spin Systems (Quantum spin models, their ground states and quantum phase transitions; Classical phase transitions, Monte Carlo simulations, and finite-size scaling; Exact diagonalization methods; Quantum Monte Carlo simulations and the Stochastic Series Expansion method; Survey of related computational methods); Dynamical Mean-Field Theory of Electronic Correlations in Models and Materials (Mean-field theories for many-body systems; Lattice fermions in the limit of high dimensions; Dynamical mean-field theory for correlated lattice fermions; The Mott-Hubbard Metal-Insulator Transition; Electronic correlations and disorder; Theory of electronic correlations in materials; Kinks in the dispersion of strongly correlated electron systems).

Anyone with an interest in the physics of strongly correlated systems will find this an essential text. This volume contains the lectures delivered at the 11th Trainign Course in the subject, held in Vietri sul Mare Italy, in October 2006. The aim of the course was to promote the training of young researchers in this particular field of condensed matter physics and the lectures were delivered by world-class senior researchers and include up-to-the-minute treatments of key topics.

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.