Direct spectroscopic evidence for phase competition between the pseudogap and superconductivity in Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+{\delta}}$
Makoto Hashimoto, Elizabeth A. Nowadnick, Rui-Hua. He, Inna M. Vishik,, Brian Moritz, Yu He, Kiyohisa Tanaka, Robert G. Moore, Donghui Lu, Yoshiyuki, Yoshida, Motoyuki Ishikado, Takao Sasagawa, Kazuhiro Fujita, Shigeyuki, Ishida, Shinichi Uchida, Hiroshi Eisaki, Zahid Hussain

TL;DR
This study provides direct spectroscopic evidence of phase competition between the pseudogap and superconductivity in Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+{eta}}$, revealing a singularity at $T_c$ across various doping levels, advancing understanding of high-$T_c$ cuprates.
Contribution
It offers the first direct spectroscopic evidence linking the pseudogap and superconductivity phases through a singularity at $T_c$, confirming phase competition in cuprates.
Findings
Spectroscopic singularity at $T_c$ indicates phase competition.
Competition persists up to high doping levels (~0.22).
Comparison with theory confirms the antagonistic relationship.
Abstract
In the high-temperature () cuprate superconductors, increasing evidence suggests that the pseudogap, existing below the pseudogap temperature *, 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 in the spectral weight of BiSrCaCuO as a compelling evidence for phase competition, which persists up to a high hole concentration ~ 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…
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