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Physical review. B, Condensed matter

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

Hayoung Kim, Peter S. Riseborough

Published Nov 1, 1990• 15 citations
Publisher

Abstract

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.

DOI
10.1103/physrevb.42.7975

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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-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.
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t−Jt-Jt−J model one-electron renormalizations: high energy features in photoemission experiments of high-TcT_cTc​ cuprates
Recent angle-resolved photoemission experiments in hole doped cuprates reported new and interesting high energy features which may be useful for understanding the electronic properties of these materials. Using a perturbative approach, which allows the calculation of dynamical properties in the t−Jt-Jt−J model, one-electron spectral properties were calculated. A strongly renormalized quasiparticle band near the Fermi surface and incoherent spectra at high energy were obtained. Among different current experimental interpretations, the obtained results are closer to the interpretation given by Pan {\it et al.}\cite{pan}. The self-energy shows large high energy contributions which are responsible for the incoherent structures showed by the spectral functions and the reduction of the quasiparticle weight and bandwidth. According to the calculation, collective charge fluctuations are the main source for the self-energy renormalizations. For testing if the obtained self-energy is compatible with transport measurement the resistivity versus temperature was estimated.
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.
Despite the intense theoretical and experimental effort, an understanding of the superconducting pairing mechanism of the high-temperature superconductors, leading to an unprecedented high transition temperature TcT_cTc​, is still lacking. Starting from the ttt-JJJ model, we present a microscopic approach to the physical properties of the superconducting phase at moderate hole-doping in the framework of a novel renormalization scheme, called PRM. Our microscopic approach allows us to explain the experimental findings in the underdoped as well as in the optimal hole doping regime. In good agreement with experiments, we find no superconducting solutions for very small hole doping. In the superconducting phase, the order parameter turns out to have d-wave symmetry with a coherence length of a few lattice constants. The spectral function, obtained from angle-resolved photoemission spectroscopy (ARPES) along the Fermi surface, is also in good agreement with experiment: The spectra display peak-like structures which are caused alone by coherent excitations in a small range around the Fermi energy.