Ebook: Interacting Electrons in Reduced Dimensions

As its name suggests, the 1988 workshop on "Interacting Electrons in Reduced Dimen­ the wide variety of physical effects that are associated with (possibly sions" focused on strongly) correlated electrons interacting in quasi-one- and quasi-two-dimensional mate­ rials. Among the phenomena discussed were superconductivity, magnetic ordering, the metal-insulator transition, localization, the fractional Quantum Hall effect (QHE), Peierls and spin-Peierls transitions, conductance fluctuations and sliding charge-density (CDW) and spin-density (SDW) waves. That these effects appear most pronounced in systems of reduced dimensionality was amply demonstrated at the meeting. Indeed, when concrete illustrations were presented, they typically involved chain-like materials such as conjugated polymers, inorganic CDW systems and organie conductors, or layered materials such as high-temperature copper-oxide superconductors, certain of the organic superconductors, and the QHE samples, or devices where the electrons are confined to a restricted region of sample, e. g. , the depletion layer of a MOSFET. To enable this broad subject to be covered in thirty-five lectures (and ab out half as many posters), the workshop was deliberately focused on theoretical models for these phenomena and on methods for describing as faithfully as possible the "true" behav­ ior of these models. This latter emphasis was especially important, since the inherently many-body nature of problems involving interacting electrons renders conventional effec­ tive single-particle/mean-field methods (e. g. , Hartree-Fock or the local-density approxi­ mation in density-functional theory) highly suspect. Again, this is particularly true in reduced dimensions, where strong quantum fluctuations can invalidate mean-field results.

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Content:
Front Matter....Pages i-xi
Brief History of a One-Dimensional Ground State Wave Function....Pages 1-9
Two Theorems on the Hubbard Model....Pages 11-16
A Model of Crystallization: A Variation on the Hubbard Model....Pages 17-26
The Fermi-Linearized Hubbard Model: Dimer Ground State....Pages 27-34
Superconductivity of Itinerant Electrons Coupled to Spin Chains....Pages 35-41
Valence Bond Spin Models: Ground States and Excitations....Pages 43-46
Numerical Simulation of the Two Dimensional Hubbard Model....Pages 47-54
Stable Matrix-Multiplication Algorithms for Low-Temperature Numerical Simulations of Fermions....Pages 55-60
Numerical Simulations of the Two-Dimensional Hubbard Model....Pages 61-68
Monte Carlo Simulation of a Three-Band Model for High-Tc Superconductors....Pages 69-77
Exact Valence-Bond Approach to Quantum Cell Models....Pages 79-90
Lanczos Diagonalizations of the 1-D Peierls-Hubbard Model....Pages 91-105
Variational Wave Functions for Correlated Lattice Fermions....Pages 107-121
Variational Approach to Correlation Functions and to the Periodic Anderson Model in Infinite Dimensions....Pages 123-128
The Hubbard Model in Infinite Dimensions....Pages 129-134
Correlation Functions for the Two-Dimensional Hubbard Model....Pages 135-138
Density Functional Calculations for Strongly Correlated Systems....Pages 139-150
The Hubbard Model for One-Dimensional Solids....Pages 151-164
Off-Diagonal Coulomb Interactions in the Extended Peierls-Hubbard Model: Exact Diagonalization Results....Pages 165-170
Electron Correlation and Peierls Instability....Pages 171-177
Instabilities in Half-Filled One-Dimensional Systems: Valence Bond Analysis....Pages 179-188
Quantum Monte Carlo Study of Neutral-Ionic Transition....Pages 189-200
Diagonal and Off-Diagonal Electronic Interactions and Phonon Dynamics in an Extended Model of Polyacetylene....Pages 201-205
Phonons and Quantum Fluctuations in a Dimerized Electron-Phonon Chain....Pages 207-218
Scaling Approach to Electronic Correlations in Organic Conductors....Pages 219-225
Peierls Instability in Weakly Non-Ideal One-Dimensional Systems....Pages 227-239
Use of the Spin Hamiltonian to Study the Spin-Peierls Instability and Magnetism in Conjugated Polymers....Pages 241-252
A Two Band Model for Halogen-Bridged Transition Metal Linear Chain Complexes....Pages 253-266
Numerical Simulation of a One Dimensional Two Band Model....Pages 267-272
Disordered Quantum Spin Chain and its Relevance to the Disordered Superconductor....Pages 273-274
1/n Expansion for Quantum Heisenberg Antiferromagnets....Pages 275-283
Fractional Quantum Hall Effect: Recent Developments....Pages 285-289
Fr?hlich Conduction of Spin Density Waves in Quasi-Two Dimensional Systems....Pages 291-301
Spin Fluctuations and Quasiparticles in Cu-O Planes....Pages 303-314
Numerical Approach to Magnetic Mechanism of Superconductivity....Pages 315-329
Parastatistics for Highly Correlated Two Dimensional Fermi Systems....Pages 331-340
Composite vs Constituent Particle Aspects of Hole Motion in the CuO2 Plane....Pages 341-354
S Pairing by Double Excitation of Triplet in Two Band System with Intermediate Electron Correlations....Pages 355-356
Fermi Liquid Theory for High Temperature Superconductors....Pages 357-366
Back Matter....Pages 367-375
....Pages 377-382