One-Particle Anomalous Excitations of Gutzwiller Projected BCS
  Superconductors and Bogoliubov Quasi-Particle Characteristics

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Abstract

Low-lying one-particle anomalous excitations are studied for Gutzwiller projected strongly correlated BCS states. It is found that the one-particle anomalous excitations are highly coherent, and the numerically calculated spectrum can be reproduced quantitatively by a renormalized BCS theory, thus strongly indicating that the nature of low-lying excitations described by the projected BCS states is essentially understood within a renormalized Bogoliubov quasi-particle picture. This finding resembles a well known fact that a Gutzwiller projected Fermi gas is a Fermi liquid. The present results are consistent with numerically exact calculations of the two-dimensional t-J model as well as recent photoemission experiments on high-T_{\rm C} cuprate superconductors.

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Correlated Electrons in High Temperature Superconductors

Elbio Dagotto (1993)

Theoretical ideas and experimental results concerning high temperature superconductors are reviewed. Special emphasis is given to calculations carried out with the help of computers applied to models of strongly correlated electrons proposed to describe the two dimensional \({\rm Cu O_2}\) planes. The review also includes results using several analytical techniques. The one and three band Hubbard models, and the \({\rm t-J}\) model are discussed, and their behavior compared against experiments when available. Among the conclusions of the review, we found that some experimentally observed unusual properties of the cuprates have a natural explanation through Hubbard-like models. In particular abnormal features like the mid-infrared band of the optical conductivity \(\sigma(\omega)\), the new states observed in the gap in photoemission experiments, the behavior of the spin correlations with doping, and the presence of phase separation in the copper oxide superconductors may be explained, at least in part, by these models. Finally, the existence of superconductivity in Hubbard-like models is analyzed. Some aspects of the recently proposed ideas to describe the cuprates as having a \(\dx2y2\) superconducting condensate at low temperatures are discussed. Numerical results favor this scenario over others....(continues).