BOERI LILIA
(programma)
Interacting Electrons:
Hartree Approximation; Hartree–Fock Approximation; Koopmans’ Theorem; Hartree–Fock Approximation for the 3D Electron Gas; Total Exchange Energy of the 3DEG in the Hartree–Fock Approximation; Density Functional Theory; Kohn–Sham Single-Particle Equations; Local-Density Approximation; Density–Density Response Function and Static Screening; Thomas–Fermi Approximation; Lindhard Approximation); DFT for inhomogeneous classical liquids.
Magnetism:
Basics; Classical Theory of Magnetism; Quantum Theory of Magnetism of Individual Atoms; Quantum Diamagnetism; Quantum Paramagnetism; Quantum Spin;The Hubbard Model and Mott Insulators; Magnetically Ordered States and Spin-Wave Excitations; Ferromagnets; Antiferromagnets; Magnetism in one dimension.
Integer Quantum Hall Effect – Hall-Effect Transport in High Magnetic Fields; Why 2D Is Important; Why Disorder and Localization Are Important; Classical and Semiclassical Dynamics; Classical Dynamics; Semiclassical Approximation; Quantum Dynamics in Strong B Fields; IQHE Edge States; Semiclassical Percolation Picture of the IQHE; Anomalous Integer Quantum Hall Sequence in Graphene; Magnetic Translation Invariance and Magnetic Bloch Bands; Simple Landau Gauge Example; Quantization of the Hall Conductance in Magnetic Bloch Bands.
Anderson Localization and Disorder: Basic Concepts.
Ashcroft and Mermin, Solid State Physics, Addison Wesley.
Girvin Yang, Modern Condensed Matter Physics, Cambridge University Press (consigliato ma non necessario).
Materiale e appunti addizionali saranno disponibili sulla pagina elearning del corso.
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