Strongly correlated quasi-one-dimensional bands: Ground states, optical absorption, and phonons
Using the Lanczos method for exact diagonalization on systems up to 14 sites, combined with a novel phase randomization'' technique for extracting more information from these small systems, we investigate several aspects of the one-dimensional Peierls-Hubbard Hamiltonian, in the context of trans-polyacetylene: the dependence of the ground state dimerization on the strength of the electron-electron interactions, including the effects of off-diagonal'' Coulomb terms generally ignored in the Hubbard model; the phonon vibrational frequencies and dispersion relations, and the optical absorption properties, including the spectrum of absorptions as a function of photon energy. These three different observables provide considerable insight into the effects of electron-electron interactions on the properties of real materials and thus into the nature of strongly correlated electron systems. 29 refs., 11 figs.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- DOE/MA
- DOE Contract Number:
- W-7405-ENG-36
- OSTI ID:
- 5331543
- Report Number(s):
- LA-UR-89-3334; CONF-8907163-1; ON: DE90002439; TRN: 89-029684
- Resource Relation:
- Journal Volume: 03; Journal Issue: 12; Conference: Anniversary Adriatico research conference on strongly correlated electrons, Trieste (Italy), 18-21 Jul 1989
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ELECTRON-ELECTRON COUPLING
PHASE STUDIES
ABSORPTION SPECTRA
DIMERIZATION
DISPERSION RELATIONS
ELECTRON CORRELATION
ELECTRON-PHONON COUPLING
GROUND STATES
HAMILTONIANS
OPTICAL PROPERTIES
PERTURBATION THEORY
PHASE DIAGRAMS
PHONONS
CHEMICAL REACTIONS
CORRELATIONS
DIAGRAMS
ENERGY LEVELS
MATHEMATICAL OPERATORS
PHYSICAL PROPERTIES
POLYMERIZATION
QUANTUM OPERATORS
QUASI PARTICLES
SPECTRA
656002* - Condensed Matter Physics- General Techniques in Condensed Matter- (1987-)