Abstract
Effects of long-range Coulomb interaction in one-dimensional electron systems are studied. With use of a quantum Monte Carlo method, we find that the zero-frequency wave-number dependent charge susceptibility around quarter-filling clearly exhibits both 2 k F and 4 k F singularities, k F being the Fermi wave-number, in contrast with the extended-Hubbard model with on-site and nearest-neighbor interactions. The results are in accord with the X-ray diffuse scattering experiments in ( NMP) x ( phen) 1 − x (TCNQ). The power-law exponent α in the spectral function ϱ(ω) ~ ¦ω¦ α and the single-particle excitation spectrum A( k, ω) are calculated in the exact diagonalization method and compared with the observed value of α in the high-resolution photoemission experiments.
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