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AIP eBooks

Lectures on the physics of strongly correlated systems XIII : thirteenth training course in the physics of strongly correlated systems, Salerno, Italy, 6-17 October 2008

Adolfo Avella, Ferdinando Mancini

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

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).

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Lectures on the physics of strongly correlated systems XIV : fourteenth training course in the physics of strongly correlated systems, Vietri sul Mare (Salerno), Italy, 5-16 October 2009

Adolfo Avella, Ferdinando Mancini

This 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); and, 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; and, Survey of related computational methods). Contributions also include: 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; and, Kinks in the dispersion of strongly correlated electron systems).

AIP eBooks•Jan 1, 2010•1 citation

Lectures on the Physics of Strongly Correlated Systems XIII

G. Aeppli

The volume contains the lectures delivered at the XIII Training Course in the Physics ofStrongly Correlated Systems, held in Vietri sul Mare (Salerno) Italy, ...

•Jun 30, 2009•0 citations

Lectures on the physics of highly correlated electron systems IX : Ninth Training Course in the Physics of Correlated Electron Systems and High-Tc Superconductors, Salerno, Italy, 4-15 October 2004

High-Tc Superconductors, Adolfo Avella, Ferdinando Mancini

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.

AIP eBooks•Jan 1, 2005•2 citations

Correlated Materials: Methods and Applications

Eva Pavarini, Erik Koch

1. Eva Pavarini: Dynamical Mean-Field Theory for Materials, 2. Xavier Gonze: Constrained Density-Functional Theory: Formalism, Algorithms and Applications, 3. Robert Eder: Green Functions and Self-Energy Functionals, 4. Erik Koch: Exact Diagonalization and Lanczos Method, 5. Ulrich Schollwöck: DMRG as Impurity Solver, 6. Riccardo Rossi: Diagrammatic Monte Carlo for the Hubbard Model, 7. Walter Metzner: Mean-Field Theory of Spin and Charge Order in the Two-Dimensional Hubbard Model, 8. Cécile Repellin: Introduction to Topological Phases in Condensed Matter, 9. Carsten Timm: Ginzburg-Landau Theory of Superconductivity, 10. Anna Böhmer: Experimental Characterization of Phase Transitions, 11. Markus Grüninger: From Mott to Cluster Mott: Probing Correlations with RIXS, 12. Matteo Mitrano: Light Control of Many-Body Phases, 13. Luca Tocchio: Variational Monte Carlo for the Hubbard Model, 14. Annabelle Bohrdt: Neural Quantum States for Strongly Correlated Systems, 15. Benedikt Fauseweh: Quantum Many-Body Simulations on Digital Quantum Computers

arXiv:2609.38015•Jan 1, 2026•0 citations

Quantum Monte Carlo Approaches for Correlated Systems

Federico Becca, Sandro Sorella

Over the past several decades, computational approaches to studying strongly-interacting systems have become increasingly varied and sophisticated. This book provides a comprehensive introduction to state-of-the-art quantum Monte Carlo techniques relevant for applications in correlated systems. Providing a clear overview of variational wave functions, and featuring a detailed presentation of stochastic samplings including Markov chains and Langevin dynamics, which are developed into a discussion of Monte Carlo methods. The variational technique is described, from foundations to a detailed description of its algorithms. Further topics discussed include optimisation techniques, real-time dynamics and projection methods, including Green's function, reptation and auxiliary-field Monte Carlo, from basic definitions to advanced algorithms for efficient codes, and the book concludes with recent developments on the continuum space. Quantum Monte Carlo Approaches for Correlated Systems provides an extensive reference for students and researchers working in condensed matter theory or those interested in advanced numerical methods for electronic simulation.

Cambridge University Press eBooks•Nov 17, 2017•510 citations

Quantum Field Theory in Condensed Matter Physics

Alexei M. Tsvelik

This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau–Fermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics.

•Dec 1, 2003•85 citations
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).
This 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); and, 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; and, Survey of related computational methods). Contributions also include: 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; and, Kinks in the dispersion of strongly correlated electron systems).
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.
1. Eva Pavarini: Dynamical Mean-Field Theory for Materials, 2. Xavier Gonze: Constrained Density-Functional Theory: Formalism, Algorithms and Applications, 3. Robert Eder: Green Functions and Self-Energy Functionals, 4. Erik Koch: Exact Diagonalization and Lanczos Method, 5. Ulrich Schollwöck: DMRG as Impurity Solver, 6. Riccardo Rossi: Diagrammatic Monte Carlo for the Hubbard Model, 7. Walter Metzner: Mean-Field Theory of Spin and Charge Order in the Two-Dimensional Hubbard Model, 8. Cécile Repellin: Introduction to Topological Phases in Condensed Matter, 9. Carsten Timm: Ginzburg-Landau Theory of Superconductivity, 10. Anna Böhmer: Experimental Characterization of Phase Transitions, 11. Markus Grüninger: From Mott to Cluster Mott: Probing Correlations with RIXS, 12. Matteo Mitrano: Light Control of Many-Body Phases, 13. Luca Tocchio: Variational Monte Carlo for the Hubbard Model, 14. Annabelle Bohrdt: Neural Quantum States for Strongly Correlated Systems, 15. Benedikt Fauseweh: Quantum Many-Body Simulations on Digital Quantum Computers
Over the past several decades, computational approaches to studying strongly-interacting systems have become increasingly varied and sophisticated. This book provides a comprehensive introduction to state-of-the-art quantum Monte Carlo techniques relevant for applications in correlated systems. Providing a clear overview of variational wave functions, and featuring a detailed presentation of stochastic samplings including Markov chains and Langevin dynamics, which are developed into a discussion of Monte Carlo methods. The variational technique is described, from foundations to a detailed description of its algorithms. Further topics discussed include optimisation techniques, real-time dynamics and projection methods, including Green's function, reptation and auxiliary-field Monte Carlo, from basic definitions to advanced algorithms for efficient codes, and the book concludes with recent developments on the continuum space. Quantum Monte Carlo Approaches for Correlated Systems provides an extensive reference for students and researchers working in condensed matter theory or those interested in advanced numerical methods for electronic simulation.
This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau–Fermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics.