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Hybridization of Bogoliubov quasiparticles (BQPs) between the CuO$_2$ layersin the triple-layer cuprate high-temperature superconductorBi$_2$Sr$_2$Ca$_2$Cu$_3$O$_{10+\delta}$ is studied by angle-resolvedphotoemission spectroscopy (ARPES). In the superconducting state, ananti-crossing gap opens between the outer- and inner-BQP bands, which weattribute primarily to interlayer single-particle hopping with possiblecontributions from interlayer Cooper pairing. We find that the $d$-wavesuperconducting gap of both BQP bands smoothly develops with momentum withoutabrupt jump in contrast to a previous ARPES study. Hybridization between theBQPs also gradually increases in going from the off-nodal to the anti-nodalregion, which is explained by the momentum-dependence of the interlayersingle-particle hopping. As possible mechanisms for the enhancement of thesuperconducting transition temperature, the hybridization between the BQPs, aswell as the combination of phonon modes of the triple CuO$_2$ layers and spinfluctuations are discussed.

physical review letters (print)

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