Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    UID:
    almahu_9949199410402882
    Format: XII, 407 p. , online resource.
    Edition: 1st ed. 1995.
    ISBN: 9781489910424
    Series Statement: Nato Science Series B:, Physics, 343
    Content: In the slightly more than thirty years since its formulation, the Hubbard model has become a central component of modern many-body physics. It provides a paradigm for strongly correlated, interacting electronic systems and offers insights not only into the general underlying mathematical structure of many-body systems but also into the experimental behavior of many novel electronic materials. In condensed matter physics, the Hubbard model represents the simplest theoret­ ical framework for describing interacting electrons in a crystal lattice. Containing only two explicit parameters - the ratio ("Ujt") between the Coulomb repulsion and the kinetic energy of the electrons, and the filling (p) of the available electronic band - and one implicit parameter - the structure of the underlying lattice - it appears nonetheless capable of capturing behavior ranging from metallic to insulating and from magnetism to superconductivity. Introduced originally as a model of magnetism of transition met­ als, the Hubbard model has seen a spectacular recent renaissance in connection with possible applications to high-Tc superconductivity, for which particular emphasis has been placed on the phase diagram of the two-dimensional variant of the model. In mathematical physics, the Hubbard model has also had an essential role. The solution by Lieb and Wu of the one-dimensional Hubbard model by Bethe Ansatz provided the stimulus for a broad and continuing effort to study "solvable" many-body models. In higher dimensions, there have been important but isolated exact results (e. g. , N agoaka's Theorem).
    Note: Solvable Models, Rigorous Results, and Advances in Formalism -- The Hubbard Model: Some Rigorous Results and Open Problems -- On the Bethe Ansatz Soluble Degenerate Hubbard Model -- Thermodynamical Properties of the Exactly Solvable 1/r-Hubbard and 1/r-tJ Model -- Hierarchy of 1-D Electron Models with Long-Range Interaction -- One-Dimensional Luttinger Liquid of Particles for a Class of Infinitely Repulsive Interactions: Exact Solutions -- Exact Results for Spin and Charge Dynamics of Electrons with Supersymmetry -- Hidden Symmetry of Strongly Correlated Fermions -- Symmetries of Strongly Correlated Electrons -- Exact Results on a Supersymmetric Extended Hubbard Model -- Functional Integrals for Correlated Electrons -- Charge-Spin Separation and Pairing in a Generalized Hubbard Model -- A Renormalization Procedure for the Hubbard Model -- New Operator Algebra for the Hubbard Chain -- Exact Results and Conjectures on the Adiabatic Holstein-Hubbard Model at Large Electron-Phonon Coupling -- Ferromagnetism in Correlated Electron Systems: A New Class of Rigorous Criteria -- Infinite in All Directions: Large Coupling, High Dimensions, and Many Components -- The Mott Transition in Infinite Dimensions: Old Ideas and Some Surprises -- The Hubbard Model with Local Disorder in d = Infinity -- The Hubbard Model with Infinite Interaction: Magnetic Properties -- The Extended Hubbard Model at Large Interaction -- Drude Weight and f-Sum Rule of the Hubbard Model at Strong Coupling -- The Gutzwiller Projector in the Large U-Hubbard Model -- Revising the 1/N Expansion for the Slave-Boson Approach within the Functional Integral -- Fermi Liquid versus Luttinger Liquid -- "Infarared Catastrophe:" When Does It Trash Fermi Liquid Theory? -- Two-Particle Scattering and Orthogonality Catastrophe in the Hubbard Model -- Failure of Fermi Liquid Theory in 2-Dimensions: How to Infer it from Peturbation Theory -- Conservation Laws in Normal Metals: Luttinger Liquid vs. Fermi Liquid -- Charge-Spin Separation and the Spectral Properties of Luttinger Liquids -- Non-Fermi Behavior in the Kondo and Heisenberg Models -- Luttinger-Liquid Behavior in 2-D: The Variational Approach -- Non-Fermi Liquid Behavior of Electrons in the 2-D Honeycomb Lattice: A Renormalization Group Analysis -- Search for Deviations from Fermi Liquid Behavior in 2-D Repulsive and Attractive Hubbard Models -- Perturbative, Mean Field, Variational, and Numerical Studies -- Hartree-Fock and RPA Studies of the Hubbard Model -- From One- to Two-Dimensions in the Weak Coupling Limit -- Metal-Insulator Transition in the 2-D Hubbard Model: A Fermionic Linearization Approach -- The Phase Diagram of the One-Dimensional Extended Hubbard Model -- Quantum-Monte-Carlo Simulations of Correlation Functions for the One-Dimensional Hubbard Model -- Quantum-Monte-Carlo Studies of One- and Two-Dimensional Hubbard Models -- Effect of Disorder on Several Properties of the One-Band Hubbard Model in 2-D -- The Wavefunction Renormalization Constant for the One- and Two-Band Hubbard Hamiltonians in Two-Dimensions -- Experiments and Physical Applications -- Electron Spectroscopy and Hubbard: Issues and Opportunities -- On Electrical Properties of Chalcogenide Glassy Semiconductors in the Framework of Hubbard Model with Negative Correlation Energy -- The Metal Insulator Transition in the Hubbard Model -- Metal to Insulator Transition in the 2-D Hubbard Model: A Slave-Boson Approach -- The Hubbard Model and Its Application to Conjugated ?-Electron Systems.
    In: Springer Nature eBook
    Additional Edition: Printed edition: ISBN 9781489910448
    Additional Edition: Printed edition: ISBN 9780306450037
    Additional Edition: Printed edition: ISBN 9781489910431
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
Close ⊗
This website uses cookies and the analysis tool Matomo. Further information can be found on the KOBV privacy pages