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AIP conference proceedings

Angle resolved photoemission spectra of high-Tc superconductors: A Fermi-liquid based analysis

Hayoung Kim, Peter S. Riseborough

Published Jan 1, 1991• 1 citation
Publisher

Abstract

Recent high resolution angle resolved photoemission spectra for the high temperature superconductors are analyzed on the basis of a fermi‐liquid theory of highly correlated metals. Due to the presence of large many‐body effects, the region over which typical Landau fermi‐liquid properties holds is small. The spectrum is dominated by the self‐energy variation over an intermediate range of energies, and in this region the spectrum bears a close resemblance to that found in the phenomenological marginal fermi‐liquid theory of Varma et al.

DOI
10.1063/1.40255

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Recent high resolution angle resolved photoemission spectra for the high temperature superconductors are analyzed on the basis of a fermi‐liquid theory of highly correlated metals. Due to the presence of large many‐body effects, the region over which typical Landau fermi‐liquid properties holds is small. The spectrum is dominated by the self‐energy variation over an intermediate range of energies, and in this region the spectrum bears a close resemblance to that found in the phenomenological marginal fermi‐liquid theory of Varma et al.
Recent high-resolution angle-resolved photoemission spectra for the high-temperature superconductors are analyzed on the basis of a Fermi-liquid-based theory of a highly correlated metal. Due to the presence of large many-body effects, the energy range over which typical Landau Fermi-liquid properties hold is negligibly small. The theoretically calculated spectrum, near the Fermi energy, is dominated by the self-energy variation over an intermediate range of energies. The spectrum is compared and contrasted with other theories as well as with the experimental data.
In many cases the standard perturbation approach appears to be too simple to describe precisely the angle-resolved photoemission spectrum of a strongly correlated electron system. In particular, to describe the momentum asymmetry observed in the photoemission spectra of high-Tc{T}_{c}Tc​ cuprates, a phenomenological approach based on an extremely correlated Fermi-liquid model has been recently introduced. Here we analyze the general structure of the Green's function of quasiparticles in strongly correlated electron systems and stress that it is defined not only by the self-energy of Hubbard quasiparticles but also by a strength operator. The latter leads to an additional odd momentum contribution to the spectral function and alone can explain the observed asymmetry. So, the asymmetry of the angle-resolved photoemission spectra can be a measure of the strength of electron correlations in materials.
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We discuss spectra calculated for the two-dimensional Hubbard model in the intermediate coupling regime with the dynamical cluster approximation, which is a nonperturbative approach. We find a crossover from a normal Fermi liquid with a Fermi surface closed around the Brillouin-zone center at large doping to a non-Fermi liquid for small doping where the Fermi surface is holelike, closed around $M=(\ensuremath{\pi},\ensuremath{\pi}).$ The topology of the Fermi surface at low doping indicates a violation of Luttinger's theorem. We discuss different ways of presenting the spectral data to extract information about the Fermi surface. A comparison to recent experiments is presented.
We 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.
We calculate the photoemission/inverse photoemission spectrum for an N-fold degenerate Hubbard model, in the 1/N approximation. The spectra are broadened, and for sufficiently large Coulomb interaction strengths the spectra show satellites both in the photoemission and the brehmstrahlung isochromat spectroscopy portions of the spectra. The intensity of the spectra at the fermi level are equal to the noninteracting values, in accordance with Luttinger’s theorem. We show that this can result in a temperature-dependent peak at the Fermi level; the width of the peak is governed by the quasi-particle lifetime. We relate the temperature dependent peak to the Fermi-liquid properties.