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Journal of Applied Physics

Fermi liquid character in the photoemission/inverse photoemission spectra of highly correlated electron systems

Peter S. Riseborough

Published May 1, 1990• 1 citation
Publisher

Abstract

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.

DOI
10.1063/1.344658

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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.
The joint valence band photoemission spectrum and BIS of an N fold degenerate Hubbard model is calculated using a 1/N expansion, that retains the coherence of the lattice. The lowest order term in the expansion constitutes a Hartree-Fock mean field theory, and to next leading order one finds that the dynamics are dominated by boson like collective excitations. The one electron spectra are, generally, found to have long tails, however in the vicinity of the Fermi-level the spectra shows narrow features. The appearance of satellites and large mass enhancements are correlated with the softening of the boson modes.
We present a theoretical description of the one-particle excitation spectra in strongly correlated systems with nonlocal interactions. Using exact diagonalization techniques, photoemission and inverse photoemission spectra of an extended Hubbard model with an intersite Coulomb interaction are calculated. The single-particle and many-body aspects are treated on an equal footing. The hopping and interaction parameters are adjusted to simulate various Hubbard and charge-transfer systems. In contrast to normal expectations, the intersite interaction is found to suppress the spectral features driven by the on-site interaction, leading to a narrowing in the overall spectral distribution. It also produces qualitatively new behavior in the spin polarization of the spectra and in the doping dependence of the low-energy spectral weight. The degree of sensitivity of the spectra to the single-particle and interaction parameters is systematically investigated. General implications of the calculated results for strongly correlated systems are discussed.
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.
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.
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.
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.