Doping Dependencies of Onset Temperatures for the Pseudogap and Superconductive Fluctuation in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$, Studied from both In-Plane and Out-of-Plane Magnetoresistance Measurements

Abstract

To investigate the relationship between the pseudogap and superconductivity, we measured both the in-plane (${\rho }_{ab}$) and out-of-plane (${\rho }_c$) resistivity for oxygen-controlled Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ single crystals subject to magnetic fields (parallel to the $c$ axis) of up to 17.5 T. The onset temperature for the superconductive fluctuation, $T_{scf}$, is determined by the large positive in-plane magnetoresistance (MR) and negative out-of-plane MR observed near $T_c$, whereas the pseudogap opening temperature $T^{\ast }$ is determined by the semiconductive upturn of the zero-field ${\rho }_c$. $T_{scf}$ was found to scale roughly as $T_c$, with a decreasing temperature interval between them upon doping. On the other hand, $T^{\ast }$ starts out much higher than $T_{scf}$ but decreases monotonically upon doping; finally, at a heavily overdoped state, it is not observed above $T_{scf}$. These results imply that the pseudogap is not a simple precursor of superconductivity, but that further study is needed to determine whether or not $T^{\ast }$ exists below $T_{scf}$ in the heavily overdoped state.

arXiv comment17 pages, 7 figures, to appear in JPSJ

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• Absence of a BCS-BEC crossover in the cuprate superconductors
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• Unscaling Superconducting Parameters with $T_c$ for Bi-2212 and Bi-2223: A Magnetotransport Study in the Superconductive Fluctuation Regime
• Universal relationship between the energy scales of the pseudogap phase, the superconducting state and the charge density wave order in copper oxide superconductors
• A quantitative description of Nernst effect in high-temperature superconductors
• Revised phase diagram of the high-$T_c$ cuprate superconductor Pb-doped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ revealed by anisotropic transport measurements
• Electronic phase diagram of Fe${}_{1+y}$Te${}_{1-x}$Se${}_x$ revealed by magnetotransport measurements
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