Quasiparticle spectrum of the cuprate BiSrCaCuO: Possible connection to the phase diagram

Abstract

We previously introduced [T. Cren et al., Europhys. Lett. 52, 203 (2000)] an energy-dependant gap function, $\Delta (E)$, that fits the unusual shape of the quasiparticle (QP) spectrum for both BiSrCaCuO and YBaCuO. A simple anti-resonance in $\Delta (E)$ accounts for the pronounced QP peaks in the density of states, at an energy ${\Delta }_p$, and the dip feature at a higher energy, $E_{dip}$. Here we go a step further : our gap function is consistent with the ($T,p$) phase diagram, where $p$ is the carrier density. For large QP energies ($E>>{\Delta }_p$), the total spectral gap is $\Delta (E)\simeq {\Delta }_p+{\Delta }_{\varphi }$, where ${\Delta }_{\varphi }$ is tied to the condensation energy. From the available data, a simple $p$-dependance of ${\Delta }_p$ and ${\Delta }_{\varphi }$ is found, in particular ${\Delta }_{\varphi }(p)\simeq 2.3k_B{T}_c(p)$. These two distinct energy scales of the superconducting state are interpreted by comparing with the normal and pseudogap states. The various forms of the QP density of states, as well as the spectral function $A(k,E)$, are discussed.

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• Scanning tunneling spectroscopy of superconducting LiFeAs single crystals: Evidence for two nodeless energy gaps and coupling to a bosonic mode
• Relation between the one-particle spectral function and dynamic spin susceptibility in superconducting Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8-\delta }$
• Strong-coupling analysis of scanning tunneling spectra in Bi${}_2$Sr${}_2$Ca${}_2$Cu${}_3$O${}_{10+\delta }$
• Pair-pair interactions as a mechanism for high-T${}_c$ superconductivity
• Unconventional temperature dependence of the cuprate excitation spectrum
• Nature of c-axis coupling in underdoped Bi2Sr2CaCu2O8 with varying degrees of disorder
• Condensation mechanism of high-$T_c$ cuprates: the key role of pairon excitations