Correlation Effects in Low-Dimensional Electron Systems

Instructive reviews written by leading experts in theoretical condensed-matter physics on correlation effects in low-dimensional electron systems are collected in this volume. With special emphasis placed on the exact treatment of one-dimensional systems and applications of numerical results to two-dimensional systems, the reader learns about recent progress in theory and numerical calculation techniques.

I Quantum 1/r2 Models.- Physics of the Ideal Semion Gas: Spinons and Quantum Symmetries of the Integrable Haldane-Shastry Spin Chain.- The l/r2 Integrable System: The Universal Hamiltonian for Quantum Chaos.- Role of Supersymmetry in Exactly Soluble Multi-Component Fermion Models.- Hierarchical Extension of Quantum Models with Inverse-Square Interaction.- Confined System with I /r2 Exchange Interaction and Its Application to Resonances in Narrow Channels.- II Symmetries and Excitations for Integrable Models.- The Role of Symmetries in Systems of Strongly Correlated Electrons.- Symmetry Approach to Solvable Lattice Models.- Conformal-Field-Theory Approach to Quantum-Impurity Problems.- Elementary Excitations for Impurity Models.- III Phase Diagram for 1D Correlated Electron Systems.- Phase Diagram of the One-Dimensional Kondo-Lattice Model.- Fermi Volume of the Kondo-Lattice Model.- Variational Wave Functions in the One-Dimensional t-J Model for Strongly Correlated Regimes.- Strong Correlation and Strong Electron-Phonon Interaction - Peierls Transition with Mott Transition.- IV Edge States of the Quantum Hall Effect.- Edge Excitations in Abelian and Non-Abelian FQH States.- Field Theory of Fermions in the Lowest Landau Level.- Matrix-Model Approach to Electron Correlations in a Strong Magnetic Field.- Narrow-Channel Fractional Quantum Hall States and Their Projection into One Dimension - Non-Tomonaga-Luttinger-Liquid Behavior.- Chem-Simons Ginzburg-Landau Theory of the Fractional Quantum Hall System with Edges.- V 2D Correlated Electrons.- Srn-1Cun+1O2n: From One Dimension to Two Dimensions via Trellis Lattices.- Spin-Charge Decoupling and the One-Hole Green's Function in a Quantum Antiferromagnet.- Charge-Spin Separation and Pairing by Chiral Spin Fluctuations.-Transitions to Incompressible States.- Mass Anomaly in the Hubbard Model Near Half-Filling.- Index of Contributors.