Introduction to the Theory of the Integer Quantum Hall Effect

摘要: Part 1 Introduction - Basic Facts: The Integer Quantum Hall Effect Classical Dynamics Quantizing Magnetic Fields Eigenvalue Problem Landau Model Models of Confinement Bloch Representation Disorder Broadening. 2 for Pedestrians High Field Model: Confined Cylinder Spectral Conditions the Systems with Contacts Robustness Effect. 3 Linear Response Isothermal Susceptibilities: Dynamic Susceptibilities Conductivity Tensor Decomposition Conductivitie in Terms Center Coordinates Multi-Probe Conductance and Geometry Problems Magnetotransport Calculations. Phenomenology Global Conductivities Langevin Equation: Mori Theory Localization Criteria Plateaus Mobility Edges Finite Temperatures. 4 Bands Corrections to Conductivity: Wires Weak Regime Tails Bands. 5 Averaging Green Functions Gaussian Path Integrals: Supersymmetry Method Replica Tyick Instanton Free Energy. 6 Lowest Band Density States: Improved Perturbation Methods Inverse Participation Number States Tails.