Atomic-scale electronic structure of the cuprate pair density wave state coexisting with superconductivity
Atomic-scale electronic structure of the cuprate pair density wave state coexisting with superconductivity
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DOI：
10.1073/pnas.2002429117
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发表时间：
2020-06-30
影响因子：
11.1
通讯作者：
Hirschfeld, P. J.
中科院分区：
文献类型：
--
作者：
Choubey, Peayush;Joo, Sang Hyun;Hirschfeld, P. J.
空穴掺杂铜酸盐的主要特征是d波高温超导电性。然而，现在的理论兴趣主要集中在一对密度波态(PDW)能否与铜酸盐超导电性共存[D.F.Agterberg等人，Annu。康登斯牧师。物质物理。11、231(2020)]。在这里，我们使用铜酸盐的强耦合平均场理论，模拟了与d波超导(DSC)共存的八单元周期、d对称形状因子、对密度波(PDW)态的原子级电子结构。根据PDW+DSC模型，预测了Bi2Sr2CaCu2O8生物端面Bogoliubov准粒子态NOR，ETHORN的原子分辨密度，并与利用光谱成像扫描隧道显微镜(STM)进行的高精度电子可视化实验进行了比较。PDW+DSC模型的预测包括N(r，E)的晶胞内结构和周期调制，相干峰值能量βp(R)的调制，以及Bogoliubov准粒子在散射波矢空间(Q空间)中的干涉特性。所有这些预测与相应的实验结果相一致，表明轻空穴掺杂的Bi2Sr2CaCu2O8确实存在PDW+DSC态。此外，在该模型中，在临界空穴密度p*处，PDW+DSC态变得不稳定为纯DSC态，实验中出现了经验上的等效现象。所有这些结果都与铜酸盐平移对称破缺态是一个PDW，观察到的电荷调制是它的结果，反节点赝隙是PDW态的结果是一致的，并且由于这个PDW的消失，出现了在p*接近19%的铜酸盐临界点。
The defining characteristic of hole-doped cuprates is d-wave high temperature superconductivity. However, intense theoretical interest is now focused on whether a pair density wave state (PDW) could coexist with cuprate superconductivity [D. F. Agterberg et al., Annu. Rev. Condens. Matter Phys. 11, 231 (2020)]. Here, we use a strongcoupling mean-field theory of cuprates, to model the atomic-scale electronic structure of an eight-unit-cell periodic, d-symmetry form factor, pair density wave (PDW) state coexisting with d-wave superconductivity (DSC). From this PDW + DSC model, the atomically resolved density of Bogoliubov quasiparticle states Nor, ETHORN is predicted at the terminal BiO surface of Bi2Sr2CaCu2O8 and compared with high-precision electronic visualization experiments using spectroscopic imaging scanning tunneling microscopy (STM). The PDW+ DSC model predictions include the intraunit-cell structure and periodic modulations of N(r, E), themodulations of the coherence peak energy Delta p(r), and the characteristics of Bogoliubov quasiparticle interference in scattering-wavevector space (q - space). Consistency between all these predictions and the corresponding experiments indicates that lightly hole-doped Bi2Sr2CaCu2O8 does contain a PDW + DSC state. Moreover, in the model the PDW + DSC state becomes unstable to a pure DSC state at a critical hole density p*, with empirically equivalent phenomena occurring in the experiments. All these results are consistent with a picture in which the cuprate translational symmetry-breaking state is a PDW, the observed charge modulations are its consequence, the antinodal pseudogap is that of the PDW state, and the cuprate critical point at p* approximate to 19% occurs due to disappearance of this PDW.