Imaging the energy gap modulations of the cuprate pair-density-wave state
| العنوان: | Imaging the energy gap modulations of the cuprate pair-density-wave state |
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| المؤلفون: | Sang Hyun Joo, Hui Li, Peter D. Johnson, Jinho Lee, Zengyi Du, Genda Gu, Kazuhiro Fujita, J. C. Davis, Elizabeth P. Donoway |
| المصدر: | Nature |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Superconductivity, Physics, Multidisciplinary, Strongly Correlated Electrons (cond-mat.str-el), Condensed matter physics, Condensed Matter - Superconductivity, FOS: Physical sciences, 02 engineering and technology, 021001 nanoscience & nanotechnology, 01 natural sciences, Density wave theory, Topological defect, Magnetic field, Superconductivity (cond-mat.supr-con), Momentum, Condensed Matter - Strongly Correlated Electrons, Condensed Matter::Superconductivity, 0103 physical sciences, Cuprate, Cooper pair, 010306 general physics, 0210 nano-technology, Quantum tunnelling |
| الوصف: | When Cooper pairs are formed with finite center-of-mass momentum, the defining characteristic is a spatially modulating superconducting energy gap $\Delta(r)$. Recently, this concept has been generalized to the pair density wave (PDW) state predicted to exist in a variety of strongly correlated electronic materials such as the cuprates. Although the signature of a cuprate PDW has been detected in Cooper-pair tunnelling, the distinctive signature in single-electron tunneling of a periodic $\Delta(r)$ modulation has never been observed. Here, using a new approach, we discover strong $\Delta(r)$ modulations in Bi$_2$Sr$_2$CaCu$_2$O$_8$+$\delta$ that have eight-unit-cell periodicity or wavevectors $Q=2{\pi}/a_0(1/8,0)$; $2{\pi}/a_0(0,1/8)$. This constitutes the first energy-resolved spectroscopic evidence for the cuprate PDW state. An analysis of spatial arrangements of $\Delta(r)$ modulations then reveals that this PDW is predominantly unidirectional, but with an arrangement of nanoscale domains indicative of a vestigial PDW. Simultaneous imaging of the local-density-of-states $N(r,E)$ reveals electronic modulations with wavevectors $Q$ and $2Q$, as anticipated when the PDW coexists with superconductivity. Finally, by visualizing the topological defects in these $N(r,E)$ density waves at $2Q$, we discover them to be concentrated in areas where the PDW spatial phase changes by $\pi$, as predicted by the theory of half-vortices in a PDW state. Overall, this is a compelling demonstration, from multiple single-electron signatures, of a PDW state coexisting with superconductivity at zero magnetic field, in the canonical cuprate Bi$_2$Sr$_2$CaCu$_2$O$_8$+$\delta$. Comment: Final submitted version. arXiv admin note: text overlap with arXiv:2109.14031 |
| تدمد: | 1476-4687 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0aa362bf3c9ce590ba23ed2f01055715 https://pubmed.ncbi.nlm.nih.gov/32238945 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....0aa362bf3c9ce590ba23ed2f01055715 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14764687 |
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