Interacting Electrons in Reduced DimensionsDionys Baeriswyl, David K. Campbell 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. |
Contents
1 | |
11 | |
A Variation on the Hubbard Model | 17 |
Dimer Ground State | 27 |
Superconductivity of Itinerant Electrons Coupled to Spin Chains | 35 |
Ground States and Excitations | 43 |
Numerical Simulations of the TwoDimensional Hubbard Model | 61 |
Exact ValenceBond Approach to Quantum Cell Models | 78 |
Phonons and Quantum Fluctuations in a Dimerized ElectronPhonon | 219 |
Scaling Approach to Electronic Correlations in Organic Conductors | 227 |
Peierls Instability in Weakly NonIdeal OneDimensional Systems | 240 |
Use of the Spin Hamiltonian to Study the SpinPeierls Instability | 253 |
A Two Band Model for HalogenBridged Transition Metal Linear | 267 |
Superconductor | 275 |
1n Expansion for Quantum Heisenberg Antiferromagnets | 285 |
A Unified Theoretical Approach to Superconductors with Strong | 315 |
Lanczos Diagonalizations of the 1D PeierlsHubbard Model | 91 |
Variational and Perturbation Theoretic Methods | 107 |
The Hubbard Model in Infinite Dimensions | 129 |
Correlation Functions for the TwoDimensional Hubbard Model | 135 |
Dimensionality Effects in transCH C | 151 |
QUASIONE DIMENSIONAL MODELS AND MATERIALS | 165 |
Electron Correlation and Peierls Instability | 179 |
B Organic Conductors and Conjugated Polymers | 189 |
Quantum Monte Carlo Study of NeutralIonic Transition | 201 |
Spin Fluctuations and Quasiparticles in CuO Planes | 330 |
Electronic Properties and SpinCorrelations of CuO2Planes in High | 341 |
Numerical Approach to Magnetic Mechanism of Superconductivity | 355 |
Composite vs Constituent Particle Aspects of Hole Motion in | 367 |
S Pairing by Double Excitation of Triplet in Two Band System | 377 |
Fermi Liquid Theory for High Temperature Superconductors | 383 |
395 | |
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Interacting Electrons in Reduced Dimensions Dionys Baeriswyl,David K. Campbell No preview available - 2011 |
Common terms and phrases
absorption antiferromagnetic approximation atoms Baeriswyl and D.K. bipolaron bond boson calculations Campbell Plenum Press chain charge coefficients correlation function corresponding Coulomb interaction coupling D.K. Campbell Plenum density dependence described diagonal dimensional dimerization discussed doping double occupancy e-e interactions effects electron interaction electron-electron electron-phonon electronic correlations Electrons in Reduced exact excitations expectation values extended Hubbard model Fermi liquid Fermi surface fermions ferromagnetic finite fluctuations ground state energy half-filled band Hamiltonian Heisenberg holes hopping Hubbard model Interacting Electrons interchain ionic Landau level lattice Lett limit magnetic matrix elements nearest neighbor obtained on-site optical orbitals oxygen pair parameters particle Peierls perturbation phonon Phys physical polaron polyacetylene quantum quasiparticle Reduced Dimensions Edited repulsion singlet soliton spectra spectrum spin Hamiltonian structure superconductivity symmetry temperature Theorem theory transition valence VWFs wave function wavefunction zero