Modulation of superconducting properties by the charge density wave at the surface of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>H</mml:mi> <mml:mtext>−</mml:mtext> <mml:msub> <mml:mi>NbSe</mml:mi>

To investigate the interplay between charge density wave (CDW) and superconductivity, we performed ultralow-temperature spectroscopic-imaging scanning tunneling microscopy on the cleaved surface of the layered superconductor <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"> <a:mrow> <a:mn>2</a:mn> <a:mi>H</a:mi> <a:mtext>−</a:mtext> <a:msub> <a:mi>NbSe</a:mi> <a:mn>2</a:mn> </a:msub> </a:mrow> </a:math> . We found that the superconducting-gap spectrum exhibits intricate structures reflecting the anisotropic gaps opening on multiple Fermi surfaces. Notably, none of the characteristic energy scales apparent in the spectral gap show appreciable spatial variations, suggesting that the finite-momentum pairing is negligible. Instead, the spectral weight near the coherence peak is modulated with the same periodicity as the CDW. The maximum position of the coherence-peak-weight modulation coincides with neither the peak nor the bottom of the CDW modulation; rather, it aligns with the center of one of the two inequivalent triangular plaquettes that comprise the CDW unit cell. This distribution pattern of Bogoliubov quasiparticles directly results from the broken in-plane inversion symmetry at the surface of <b:math xmlns:b="http://www.w3.org/1998/Math/MathML"> <b:mrow> <b:mn>2</b:mn> <b:mi>H</b:mi> <b:mtext>−</b:mtext> <b:msub> <b:mi>NbSe</b:mi> <b:mn>2</b:mn> </b:msub> </b:mrow> </b:math> , which may activate Ising spin-orbit coupling.