Direct spectroscopic evidence for phase competition between the pseudogap and superconductivity in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$

Abstract

In the high-temperature ($T_c$) cuprate superconductors, increasing evidence suggests that the pseudogap, existing below the pseudogap temperature $T$*, has a distinct broken electronic symmetry from that of superconductivity. Particularly, recent scattering experiments on the underdoped cuprates have suggested that a charge ordering competes with superconductivity. However, no direct link of this physics and the important low-energy excitations has been identified. Here we report an antagonistic singularity at $T_c$ in the spectral weight of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ as a compelling evidence for phase competition, which persists up to a high hole concentration $p$ ~ 0.22. Comparison with a theoretical calculation confirms that the singularity is a signature of competition between the order parameters for the pseudogap and superconductivity. The observation of the spectroscopic singularity at finite temperatures over a wide doping range provides new insights into the nature of the competitive interplay between the two intertwined phases and the complex phase diagram near the pseudogap critical point.

17 pages with 4 figures and supplementary information with 18 pages with 1 table and 4 figures

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