Spectral function of a Luttinger liquid coupled to phonons and angle-resolved photoemission measurements in the cuprate superconductors

dc.creatorBindloss, Ian P.
dc.creatorKivelson, Steven A.
dc.date2004-02-18
dc.date2005-01-25
dc.date.accessioned2026-07-07T02:56:32Z
dc.date.available2026-07-07T02:56:32Z
dc.descriptionWe compute the finite-temperature single-particle spectral function of a one-dimensional Luttinger liquid coupled to an optical phonon band. The calculation is performed exactly for the case in which electron-phonon coupling is purely forward scattering. We extend the results to include backward scattering with a renormalization group treatment. The dispersion contains a change in velocity at the phonon energy, qualitatively similar to the case of electron-phonon coupling in a Fermi liquid. If the backward scattering part of the the electron-phonon interaction is not too strong compared to the forward scattering part, coupling to phonons also produces a pronounced peak in the spectral function at low energies. The calculated spectral function is remarkably similar to the angle-resolved photoemission spectra of the high-temperature superconductors, including the apparent presence of "nodal quasiparticles," the presence of a "kink" in the dispersion, and the non-Fermi-liquid frequency and temperature dependencies. Although a microscopic justification has not been established for treating the electronic dynamics of the cuprates as quasi-one-dimensional, at the very least we take the quality of the comparison as evidence of the non-Fermi-liquid character of the measured spectra.
dc.description13 pages, 15 figures. Phys. Rev. B (in press)
dc.identifierhttps://arxiv.org/abs/cond-mat/0402457
dc.identifierhttp://arxiv.org/abs/cond-mat/0402457
dc.identifierPhys. Rev. B 71, 014524 (2005)
dc.identifierdoi:10.1103/PhysRevB.71.014524
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23358
dc.subjectStrongly Correlated Electrons
dc.subjectSuperconductivity
dc.titleSpectral function of a Luttinger liquid coupled to phonons and angle-resolved photoemission measurements in the cuprate superconductors
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