We performed scanning tunneling microscopy/spectroscopy measurements in the superconducting state of underdoped ${\mathrm{Bi}}_2{\mathrm{Sr}}_2\mathrm{Ca}{\mathrm{Cu}}_2{\mathrm{O}}_{8+x}$, and demonstrated that the checkerboard (CB) and Bogoliubov quasiparticle interference (QPI) modulations, which are considered to be characteristic features for the low-energy states around the antinodal and nodal regions of the Fermi surface, respectively, coexist in identical regions of the Cu-O plane. In the present work, these electronic superstructures are successfully separated from each other, and the local amplitude and phase are evaluated for the CB modulation and the ${\mathit{q}}_1$ component of QPI, which are characterized by similar wave vectors. The ${\mathit{q}}_1$-QPI component tends to be in-phase and antiphase with the CB modulation for positive and negative bias voltages, respectively. The significant spatial phase relationship is confirmed in regions where the local amplitude of CB modulation is comparatively large. This finding implies an interplay between the QPI and CB modulations.

中文翻译：

---

通过扫描隧道显微镜/光谱研究Bi2Sr2CaCu2O8 + x中棋盘格和准粒子干扰调制的共存

我们在掺杂不足的超导状态下进行了扫描隧道显微镜/光谱学测量 ${双}_2{r}_2钙{铜}_2{\mathrm{Ø}}_{8+X}$，并证明了棋盘（CB）和Bogoliubov准粒子干扰（QPI）调制，分别被认为是费米表面反节点和节点区域周围低能态的特征，并同时存在于费米表面的相同区域中。铜-O平面。在目前的工作中，这些电子上层结构已成功地彼此分离，并针对CB调制和${\mathit{q}}_{\mathrm{1个}}$QPI的分量，其特征是相似的波矢。的${\mathit{q}}_{\mathrm{1个}}$对于正和负偏置电压，-CPI分量倾向于与CB调制同相和反相。在CB调制的局部幅度相对较大的区域中确认了明显的空间相位关系。该发现暗示了QPI和CB调制之间的相互作用。