An energy scale directly related to superconductivity in the high-$T_c$ cuprate superconductors: Universality from the Fermi arc picture

Abstract

We have performed a temperature dependent angle-resolved photoemission spectroscopy (ARPES) study of the tri-layer high-$T_c$ cuprate superconductor (HTSC) Bi${}_2$Sr${}_2$Ca${}_2$Cu${}_3$O${}_{10+\delta }$ (Bi2223), and have shown that the \textquotedblleft effective\textquotedblright superconducting (SC) gap ${\Delta }_{\mathrm{sc}}$ defined at the end point of the Fermi arc and the $T_c$ (= 110 K) approximately satisfies the weak-coupling BCS-relationship 2${\Delta }_{\mathrm{sc}}$ = 4.3$k_{\mathrm{B}}{T}_c$. Combining this result with previous ARPES results on single- and double-layer cuprates, we show that the relationship between 2${\Delta }_{\mathrm{sc}}$ = 4.3$k_{\mathrm{B}}{T}_c$ holds for various HTSCs. Furthermore, at $T$ $\sim$ $T_c$, the quasi-patricle width at the end point of the Fermi arc is found to coincide with ${\Delta }_{\mathrm{sc}}$, consistent with the context of Planckian dissipation.

5 pages, 4 figures

References in corpus (11)

• Distinct Fermi-Momentum Dependent Energy Gaps in Deeply Underdoped Bi2212
• A Phenomenological Theory of The Pseudogap State
• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions
• From a single-band metal to a high-temperature superconductor via two thermal phase transitions (Supporting Material)
• Direct evidence for a competition between the pseudogap and high temperature superconductivity in the cuprates
• Electronic Origin of the Inhomogeneous Pairing Interaction in the High-Tc Superconductor Bi2Sr2CaCu2O8+d
• Extending Universal Nodal Excitations Optimizes Superconductivity in Bi2Sr2CaCu2O8+d
• Anomalous Fermi-Surface Dependent Pairing in a Self-Doped High-Tc Superconductor
• Electronic Raman Scattering in copper oxide Superconductors: Understanding the Phase Diagram
• Universal scaling of length, time, and energy for cuprate superconductors based on photoemission measurements of Bi2Sr2CaCu2O8+δ

Cited by in corpus (20)

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• Electronic Origin of High-Tc Maximization and Persistence in Trilayer Cuprate Superconductors
• Directly visualizing the sign change of d-wave superconducting gap in Bi2Sr2CaCu2O8+δ by phase-referenced quasiparticle interference
• New insights into the phase diagram of the copper oxide superconductors from electronic Raman scattering
• Charge order driven by Fermi-arc instability and its connection with pseudogap in cuprate superconductors
• Disparity of superconducting and pseudogap scales in low-Tc Bi-2201 cuprates
• Hybridization of Bogoliubov-quasiparticles between adjacent CuO${}_2$ layers in the triple-layer cuprate Bi${}_2$Sr${}_2$Ca${}_2$Cu${}_3$O${}_{10+\delta }$ studied by ARPES
• Robustness of the nodal d-wave spectrum to strongly fluctuating competing order
• Low anisotropy of the upper critical field in a strongly anisotropic layered cuprate: Evidence for paramagnetically limited superconductivity
• Superconducting condensate residing on small Fermi pockets in underdoped cuprates
• Anomalous doping evolution of superconductivity and quasiparticle interference in Bi2Sr2Ca2Cu3O10+δ trilayer cuprates
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• Origin of the Fermi arcs in cuprates: a dual role of quasiparticle and pair excitations
• Enhanced superconducting gap in the outer CuO${}_2$ plane of the trilayer cuprate (Hg,Re)Ba${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Features of Excess Conductivity Behavior in a Magnetic Superconductor Dy${}_{0.6}$Y${}_{0.4}$Rh${}_{3.85}$Ru${}_{0.15}$B${}_4$
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• Renormalization of electrons in bilayer cuprate superconductors
• Doping Evolution of Nodal Electron Dynamics in Trilayer Cuprate Superconductor Bi${}_2$Sr${}_2$Ca${}_2$Cu${}_3$O${}_{10+\delta }$ Revealed by Laser-Based Angle-Resolved Photoemission Spectroscopy