Properties of Interacting Low-Dimensional Systems

Godfrey Gumbs is Professor for Physics at the Hunter College of the City University of New York, and holds a faculty fellowship with USAF. His research on low-dimensional electron and hole systems and on quantum mechanical properties of the charge carriers in nanoscale semiconductor structures and devices has earned him numerous scholar- and fellowships awards, among them a Fulbright Senior Scholarship to Israel. Danhong Huang is Senior Physicist with the Space Based Advanced Sensing and Protection Branch of the US Air Force Research Lab, with prior assignments e.g. at the University of Texas and with the MIT. His research centers on development of theoretical understanding of solid state and heterostructure physics and developing tools for computational modeling

1 Introduction
2 The Kubo-Greenwood Linear Response Theory
3 Feynman Diagrammatic Expansion
4 Plasmon Excitations in Mesoscopic Structures
5 The Surface Response Function, Energy Loss and Plasma Instability
6 Optical Response and the Absorption Coefficient
7 Surface Correlation Energy for a Bounded Plasma
8 The Rashba Spin-Orbit Interaction in 2DEG
9 Quantized Acoustoelectric Current and Applications
10 Electrical Conductivity: The Kubo, Boltzmann and Landauer-Buettiker Formulas
11 Conductance Fluctuations
12 Integer Quantum Hall Effect
13 Fractional Quantum Hall Effect
14 Theory of Magnetism
Appendices
A Boson and Fermion Statistics for Noninteracting Systems
B Spectral Structure of the Green's Function
C The Renormalization Group and Critical Phenomena
D Charge and Spin density Waves
E Effect of Two-Body and Three-Body Forces
F Superconductivity
G Greens' Functions and Spectral Structure