Open Problems in Strongly Correlated Electron Systems

Open Problems in Strongly Correlated Electron Systems

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In the last decade it has become increasingly evident that strong correla- tions between electrons are an essential and unifying factor in such diverse phenomena within solid state physics as high-temperature superconductivity, colossal magnetoresistance, the quantum Hall effect, heavy-fermion metals and Coulomb blockade in single-electron transistors. A new paradigmofnon- FermiLiquidbehaviourisalsoemergingand, inanumberofsystems, replacing the Fermi liquid, which has been the cornerstone ofthe physics of metals and superconductors for the pastdecades. In spite of major achievements, the theoretical studies and understanding of strongly-correlated electrons seems to be still in its infancy. Anomalous electron properties have been studied in some generic models of correlated electrons, such as the Hubbard and t-J models, the Anderson and Kondo impurity models, and their lattice equivalents. New insights into the behaviour of these, and related models is emerging from the introduction of powerful numerical methods to study such many-body models, including approximate techniquesofmany-body theory and exactresults inlow-andhigh-dimensional systems.
Theseall showconvincingevidenceforbreakdownoftheFermiliquid concept. The Bled workshop focused on several major open questions in the theory of anomalous metals with correlated electrons. These theoretical advances were complemented by the latest experimental results in related materials, presented by leading experimentalists in the field. The main emphasis was on the following topics: - physics ofcuprates 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, - quantum Hall effect.
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Product details

  • Paperback | 461 pages
  • 160 x 233.7 x 27.9mm | 703.08g
  • Dordrecht, Netherlands
  • English
  • Softcover reprint of the original 1st ed. 2001
  • 26 Illustrations, black and white; XVI, 461 p. 26 illus.
  • 0792368967
  • 9780792368960

Table of contents

Preface. Part I: Cuprates: Fermi Surface and Spectral Functions. Summary of ARPES Results on the Pseudogap in Bi2Sr2CaCu2O8+delta; J.C. Campuzano, M. Randeria. On the Breakdown of Landau-Fermi Liquid Theory in the Cuprates; C. Honerkamp, et al. Metal-Insulator Transition and Many-body Band Structure of the Hubbard Model; R. Eder, et al. Spectral Properties of Underdoped Cuprates; A. Ramsak, et al. High Resolution Fermi Surface Mapping of Pb-doped Bi-2212; S.V. Borisenko, et al. Single Particle Excitations in the t-J Model; M. Brunner, et al. Part II: Cuprates: Spin and Charge Fluctuations. Magnetic Resonance Peak and Nonmagnetic Impurities; Y. Sidis, et al. Pseudogap and Kinetic Pairing Under Critical Differentiation of Electrons in Cuprate Superconductors; M. Imada, S. Onoda. Density Response of Cuprates and Renormalization of Breathing Phonons; P. Horsch, G. Khaliullin. Phase Diagram of Spin Ladder Models and the Topology of Short Range Valence Bonds; J. Solyom. Diagrammatic Theory of Anderson Impurity Models: Fermi and Non-Fermi Liquid Behavior; J. Kroha, P. Woelfle. s+d Mixing in Cuprates: Strong electron correlations and superconducting gap symmetry; N.M. Plakida, V.S. Oudovenko. Part III: Cuprates: Stripe and Charge Ordering. Fermi Surface, Pseudogaps and Dynamical Stripes in LA2-xSRxCUO4; A. Fujimori, et al. Stripes and Nodal Fermions as Two Sides of the Same Coin; J. Zaanen, Z. Nussinov. DMRG Studies of Stripes and Pairing in the t-J Model; S.R. White, D.J. Scalapino. Coexistence of Charge and Spin-Peierls Orders in the 1/4-filled Ladder NaV2O5; D. Poilblanc, J. Riera.Part IV: Cuprates: Numerical Methods and Quantum Hall Effect. Normal State Properties of Cuprates: t-J Model vs. Experiment; P. Prelovsek. Stability of d-wave Superconductivity in the t-J Model; F. Becca, et al. A New Simulation Method for Infinite Size Lattices; H.G. Evertz, W. von der Linden. Universality in 2-D Quantum Heisenberg Antiferromagnets; M. Troyer. Stripes and Pairing in the = 5/2 Quantum Hall Effect; F.D.M. Haldane. Part V: Manganites, Orbital Degeneracy. Theory of Manganites: The Key Role of Phase Segregation; E. Dagotto, et al. Magnetic and Orbital Ordering in Manganites; A.M. Ole , L.F. Feiner. Orbital Dynamics: The Origin of Anomalous Magnon Softening in Ferromagnetic Manganites; G. Khaliullin, R. Kilian. Field Induced Metal-Insulator Transition in (Pr:Ca:Sr)MnO3; J. Hemberger, et al. Triplet Pairing via Local Exchange in Correlated Systems; J. Spa ek. Part VI: Low Dimensional Systems and Transport. Dimensional Crossover, Electronic Confinement and Charge Localization in Organic Metals; G. Mihaly, et al. Drude Weight, Integrable Systems and the Reactive Hall Constant; X. Zotos, et al. Inhomogeneous Luttinger Liquids: Power-Laws and Energy Scales; V. Meden, et al. Nodal Liquids and Duality; N.E. Mavromatos, S. Sarkar. Spin-Charge Separation in the Sr2 CuO3 and SrCuO2 Chain Materials; K. Penc, W. Stephan. Frustrated Quantum Ising Model and Charged Kinks; M.V. Mostovoy, et al. Ergodic Properties of Quantum Spin Chains: Kicked Transverse Ising Model; T. Prosen. Part VII: Mott-Hubbard Transition,
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