Lectures on the Physics of Highly Correlated Electron Systems: Seventh Training Course in the Physics of Correlated Electron Systems and High-tc Superconductors

The objective 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 pedagogical lectures are up-to-date monographs of relevant subjects in the field of condensed matter physics. Contributions include: polarons (the polaron concept, optical properties and internal structure of polarons, many-polaron systems, magnetoabsorption of polarons, optical properties of quantum dots: role of the polaron interaction, interacting polarons in a quantum dot, small polarons); multielectron bubbles in liquid helium: a spherical two-dimensional electron system (oscillation modes, bubble stability and fissioning, the spherical two-dimensional electron gas, the Wigner solid of electrons in the bubble); the numerical approach to the correlated electron problem: quantum Monte Carlo methods (the world line approach for the XXZ model and relation to the 6-vertex model, auxiliary field Quantum Monte Carlo algorithms, application of the auxiliary field QMC to specific Hamiltonians, the Hirsch-Fye impurity algorithm); basic models in the quantum theory of magnetism (the Heisenberg model, the Hubbard model, and the sd-model).