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
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
1. Dieter Vollhardt: Understanding Correlated Materials with Lattice Fermions in Infinite Dimensions, 2. Robert Jones: Density Functional Theory for the Sceptical, 3. Eva Pavarini: Dynamical Mean-Field Theory for Materials, 4. Luca de' Medici: Hund's Metal Physics in the Iron-Based Superconductors, 5. Tim Wehling: DMFT for Moiré Systems, 6. Claude Ederer: Effect of Charge Self-Consistency in Calculations for Transition-Metal Oxides, 7. Jan Tomczak: A Perspective on Screened Coulomb Interactions from the constrained Random Phase Approximation, 8. Krzysztof Byczuk: Dynamical Mean-Field Theory for Correlated Electrons with Disorder, 9. Xavier Waintal: Learning Feynman Diagrams with Tensor Trains, 10. Philipp Werner: QMC for Nonequilibrium Systems, 11. Erik Koch: Analytic Continuation of Quantum Monte Carlo Data, 12. Walter Metzner: Functional Renormalization of Strongly Correlated Electrons: DMFT as a Booster Rocket, 13. Alexander Lichtenstein: Path Integrals and Reference Systems, 14. Karsten Held: Unconventional Superconductivity in the Dynamical Vertex Approximation, 15. Thomas Ayral: Dynamical Mean-Field Theory with Quantum Computing
Lecture notes of the Autumn School on Correlated Electrons 2018:Dieter Vollhardt: From Infinite Dimensions to Real Materials; Ole Andersen: From Materials to Models: Deriving Insight from Bands; Ferdi Aryasetiawan: Effective Electron-Electron Interaction in Many-Electron Systems; Marcus Kollar: The Foundations of Dynamical Mean-Field Theory; Michael Potthoff: Cluster Extensions of Dynamical Mean-Field Theory; Frank Lechermann: Charge Self-Consistency in Correlated Electronic Structure Calculations; Eva Pavarini: LDA+DMFT: Multi-Orbital Hubbard Models; Hao Tjeng: Determining Orbital Wavefunctions using Core-Level Non-Resonant Inelastic X-Ray Scattering; Hans Gerd Evertz: DMRG for Multiband Impurity Solvers; Fakher Assaad: Quantum Monte Carlo Methods for Fermion-Boson Problems; Erik Koch: Analytic Continuation of Quantum Monte Carlo Data; Hartmut Hafermann: Introduction to Diagrammatic Approaches; Thomas Maier: Dynamical Mean-Field and Dynamical Cluster Approximation Based Theory of Superconductivity; Karsten Held: Quantum Criticality and Superconductivity in Diagrammatic Extensions of DMFT; Martin Eckstein: Correlated Electrons out of Equilibrium: Non-Equilibrium 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).
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 Quantum Transfer Matrix and Its Application to Quantum Spin Chains (K Kubo) Transfer Matrices in Quantum Many-Body Systems (T Koma) Monte Carlo Calculations of Elementary Excitation (M Takahashi) The Decoupled Cell Method of Quantum Monte Carlo Calculation (S Homma) Decoupled Cell Monte Carlo Study of the Critical Properties of the Spin-1/2 Ferromagnetic Heisenberg Model in Three Dimensions (R J Creswick & C J Sisson) Variational Monte Carlo Studies of Correlated Electrons (H Shiba) Quantum Monte Carlo Simulation of Multiband Fermion Systems and Its Application to Superconductivity (K Kuroki & H Aoki) Quantum Monte Carlo in the Infinite Dimensional Limit (M Jarrell et al) Aspects of the Sign Problem (J H Samson) Ground-State Projection Using Auxiliary Fields (S Fahy) Fermion Simulations of Correlated Systems (M Imada) Dirty Bosons in 2D: Phases and Phase Transitions (N Trivedi & M Makivi'c). (Part Contents).
The development of numerical methods capable of simulating realistic materials with strongly correlated electrons, with controllable errors, is a central challenge in quantum many-body physics. Here we describe a framework for a general multiscale method based on embedding a self-energy of a strongly correlated subsystem into a self-energy generated by a method able to treat large weakly correlated systems approximately. As an example, we present the embedding of an exact diagonalization self-energy into a self-energy generated from self-consistent second-order perturbation theory. Using a quantum impurity model, generated from a cluster dynamical mean field approximation to the two-dimensional Hubbard model, as a benchmark, we illustrate that our method allows us to obtain accurate results at a fraction of the cost of typical Monte Carlo calculations. We test the method in multiple regimes of interaction strengths and dopings of the model. The general embedding framework we present avoids difficulties such as double counting corrections, frequency-dependent interactions, or vertex functions. As it is solely formulated at the level of the single-particle Green's function, it provides a promising route for the simulation of realistic materials that are currently difficult to study with other methods.