Lectures on the Physics of Highly Correlated Electron Systems VII

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).