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Smectic pair-density-wave order in EuRbFe4As4

He Zhao, Raymond Blackwell, Morgan Thinel, Taketo Handa, Shigeyuki Ishida, Xiaoyang Zhu, Akira Iyo, Hiroshi Eisaki, Abhay N. Pasupathy () and Kazuhiro Fujita ()
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He Zhao: Brookhaven National Laboratory
Raymond Blackwell: Brookhaven National Laboratory
Morgan Thinel: Columbia University
Taketo Handa: Columbia University
Shigeyuki Ishida: National Institute of Advanced Industrial Science and Technology
Xiaoyang Zhu: Columbia University
Akira Iyo: National Institute of Advanced Industrial Science and Technology
Hiroshi Eisaki: National Institute of Advanced Industrial Science and Technology
Abhay N. Pasupathy: Brookhaven National Laboratory
Kazuhiro Fujita: Brookhaven National Laboratory

Nature, 2023, vol. 618, issue 7967, 940-945

Abstract: Abstract The pair density wave (PDW) is a superconducting state in which Cooper pairs carry centre-of-mass momentum in equilibrium, leading to the breaking of translational symmetry1–4. Experimental evidence for such a state exists in high magnetic field5–8 and in some materials that feature density-wave orders that explicitly break translational symmetry9–13. However, evidence for a zero-field PDW state that exists independent of other spatially ordered states has so far been elusive. Here we show that such a state exists in the iron pnictide superconductor EuRbFe4As4, a material that features co-existing superconductivity (superconducting transition temperature (Tc) ≈ 37 kelvin) and magnetism (magnetic transition temperature (Tm) ≈ 15 kelvin)14,15. Using spectroscopic imaging scanning tunnelling microscopy (SI-STM) measurements, we show that the superconducting gap at low temperature has long-range, unidirectional spatial modulations with an incommensurate period of about eight unit cells. Upon increasing the temperature above Tm, the modulated superconductor disappears, but a uniform superconducting gap survives to Tc. When an external magnetic field is applied, gap modulations disappear inside the vortex halo. The SI-STM and bulk measurements show the absence of other density-wave orders, indicating that the PDW state is a primary, zero-field superconducting state in this compound. Both four-fold rotational symmetry and translation symmetry are recovered above Tm, indicating that the PDW is a smectic order.

Date: 2023
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DOI: 10.1038/s41586-023-06103-7

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