Influence of Hole Doping on Antiferromagnetic Real-Space Approaches for the High-Tc Cuprates

Abstract

Recently proposed scenarios for the cuprates make extensive use of a ``flat'' quasiparticle (q.p.) dispersion and short-range hole-hole interactions in real-space, both caused by antiferromagnetic (AF) correlations. The density of states (DOS) at half-filling has a robust peak which boosts the superconducting critical temperature $T_c$ to large values as holes are introduced into the (rigid) q.p. band. Here, the stability of such scenarios is studied after a $finite$ but small hole density is introduced. The overall conclusion is that the main features of real-space AF-based approaches remain qualitatively similar, namely a large $T_c$ is found and superconductivity (SC) appears in the ${\mathrm{d}}_{{\mathrm{x}}^2-{\mathrm{y}}^2}$ channel. As the hole density grows the chemical potential $\hat{I}¼$ crosses a broad peak in the DOS. We also observe that extended s-wave SC competes with d-wave in the overdoped regime.

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