Dynamic Effective Electron-Electron Interaction in the Vicinity of a Polarizable Molecule

Within a single-band Hubbard model, treated by means of a strong-coupling approach based on a cumulant expansion, we investigate the existence of critical charge fluctuations (CCF) that could give rise to a phase separation (PS) or a charge density wave, by means of a Bethe-Salpeter equation for the vertex function in the particle-hole channel. We discuss the relevance of the precursor effects of charge ordering on the self-energy of the electrons and the non-Fermi liquid behavior arising from an effective electron-electron interaction.

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Electron–Phonon Interaction as Effective Electron–Electron Interaction

physica status solidi (b) ◽

10.1002/pssb.2221280227 ◽

1985 ◽

Vol 128 (2) ◽

pp. 611-618 ◽

Cited By ~ 3

Author(s):

P. Enders

Keyword(s):

Electron Interaction ◽

Phonon Interaction ◽

Effective Electron ◽

Electron Phonon Interaction

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Density of states and effective electron interaction in hexagonal cobalt

Physics Letters A ◽

10.1016/0375-9601(69)90516-7 ◽

1969 ◽

Vol 29 (8) ◽

pp. 452-453 ◽

Cited By ~ 31

Author(s):

K.C. Wong ◽

E.P. Wohlfarth ◽

D.M. Hum

Keyword(s):

Density Of States ◽

Electron Interaction ◽

Effective Electron

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QUASIPARTICLE LIFETIME OF A TWO-DIMENSIONAL ELECTRON GAS

International Journal of Modern Physics B ◽

10.1142/s0217979210054014 ◽

2010 ◽

Vol 24 (09) ◽

pp. 1103-1110

Author(s):

A. ESMAILIAN ◽

M. R. ABOLHASSANI

Keyword(s):

Random Phase Approximation ◽

Random Phase ◽

Electron Gas ◽

Electron Interaction ◽

Two Dimensional ◽

Effective Electron ◽

2D Electron Gas ◽

Small Correction ◽

Electron Relaxation ◽

Dimensional Electron Gas

We calculate the inelastic scattering lifetime of an excited quasiparticle at low (or zero) temperature, due to electron-electron interaction for a clean two-dimensional (2D) electron gas within the random-phase approximation (RPA) and compare it with the lifetime measured from the tunnelling experiment. Our result obtained by direct numerical calculation increases the electron relaxation rate considerably, hence decreases the size of discrepancy (roughly by a factor of 4) between theory and experiment which exists in the literature. We also show that including local-field factors in the effective electron interaction yields small correction to the result calculated within the RPA for rs ~ 1, corresponding to electron density of the sample in the tunnelling experiment. This result suggests that the RPA is reasonably accurate for a 2D electron gas in weak coupling limit.

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