Open Problems in Strongly Correlated Electron Systems

This book focuses on several major, open questions in the theory of anomalous metals with correlated electrons, complementing theoretical advances with the latest experimental results on related materials, all presented by leaders in the field. The main emphasis is on the physics of cuprates and high temperature superconductors, charge- and spin-ordering and fluctuations, manganites and colossal magnetoresistance, low-dimensional systems and transport, Mott-Hubbard transition and infinite dimensional systems, and the quantum Hall effect.

Summary of ARPES Results on the Pseudogap in Bi2Sr2CaCu2O8+?.- On the Breakdown of Landau-Fermi Liquid Theory in the Cuprates.- Metal-Insulator Transition and Many-body Band Structure of the Hubbard Model.- Spectral Properties of Underdoped Cuprates.- High Resolution Fermi Surface Mapping of Pb-doped Bi-2212.- Single Particle Excitations in the t-J Model.- Magnetic Resonance Peak and Nonmagnetic Impurities.- Pseudogap and Kinetic Pairing Under Critical Differentiation of Electrons in Cuprate Superconductors.- Density Response of Cuprates and Renormalization of Breathing Phonons.- Phase Diagram of Spin Ladder Models and the Topology of Short Range Valence Bonds.- Diagrammatic Theory Of Anderson Impurity Models: Fermi and Non-Fermi Liquid Behavior.- s+d Mixing in Cuprates: Strong electron correlations*and superconducting gap symmetry.- Fermi Surface, Pseudogaps and Dynamical Stripes in*LA2xSRxCUO4.- Stripes and Nodal Fermions as Two Sides of the Same Coin.- DMRG Studies of Stripes and Pairing in the t-J Model.- Coexistence of Charge and Spin-Peierls Orders in the 1/4-filled*Ladder NaV2O5.- Normal State Properties of Cuprates: t-J Model vs.*Experiment.- Stability of d-wave Superconductivity in the t-J Model.- A New Simulation Method for Infinite Size Lattices.- Universality in 2-D Quantum Heisenberg Antiferromagnets.- Stripes and Pairing in the v = 5/2 Quantum Hall Effect.- Theory of Manganites: The Key Role of Phase Segregation.- Magnetic and Orbital Ordering in Manganites.- Orbital Dynamics: The Origin of Anomalous Magnon*Softemng in Ferromagnetic Manganites.- Field Induced Metal-Insulator Transition in (Pr:Ca:Sr)MnO3.- Triplet Pairing via Local Exchange in Correlated Systems.- Dimensional Crossover, Electronic Confinement and Charge*Localization in Organic Metals.-Drude Weight, Integrable Systems and the Reactive Hall*Constant.- Inhomogeneous Luttinger Liquids: Power-Laws and Energy*Scales.- Nodal Liquids and Duality.- Spin-Charge Separation in the Sr2CuO3 and SrCuO2 Chain*Materials.- Frustrated Quantum Ising Model and Charged Kinks.- Ergodic Properties of Quantum Spin Chains: Kicked*Transverse Ising Model.- Strongly Correlated Electrons: A Dynamical Mean Field*Perspective.- d-wave Pairing in the Strong-coupling 2D Hubbard Model.- Studies of the Mott-Hubbard Transition in One and Infinite*Dimensions.- Quantum Critical Behavior of Correlated Electrons: Resonant*States.- Theory of Valence Transitions in Ytterbium-based Compounds.- Strong Electronic Correlations and Low Energy Scales.- Non-magnetic Mott Insulator Phase and Anomalous*Conducting States in Barium Vanadium Trisulphide.- Low-Energy Excitations in Anisotropie Spin-Orbital Model.- Dynamical Mean-Field Selfconsistency Relation for Multiband*Systems.- Superfluidity in Fermi-Systems with Repulsion.- Dynamic Jahn-Teller Effect and Distortional Disorder in*Manganites.- Diagrammatic Theory of the Anderson Impurity Model with*Finite Coulomb Interaction.- Magnetotransport of the Cuprates in the Quantum Critical*Point Scenario.- Interplay Between Electron Correlations and Electron-Phonon*Interaction in the Cuprates.- Superconductivity in Disordered Sr2RuO4.- Fine Electronic Structure and Magnetism of LaMnO3 and*LaCoO3.- Anomalies in the Conduction Edge of Quantum Wires.- Underdoped Region of the 2D t-J Model.- Lattice Fermions with Optimized Wave Functions:*Exact Results.- Entropy Saturation and the Brinkmann-Rice Transition in a*Random-Tiling Model.- Diamagnetic Properties of Doped Antiferromagnets.- Group Photo.