Discovery of a Cooper-Pair Density Wave State in a Transition-Metal Dichalcogenide
Xiaolong Liu, Yi Xue Chong, Rahul Sharma, J.C. S\'eamus Davis

TL;DR
This study uncovers a spatially modulating pair density wave state in a transition-metal dichalcogenide, revealing complex interactions between superconductivity and charge density waves using advanced microscopy techniques.
Contribution
It reports the first direct detection of a PDW state in a TMD, showing its coupling with CDW and superconductivity, and highlights the potential ubiquity of PDW physics in similar materials.
Findings
Detection of a PDW state modulating at CDW wavevectors
Observation of a global phase difference of approximately ±2π/3 between PDW and CDW
Identification of domain structures with discommensuration phase-slips
Abstract
Pair density wave (PDW) states are defined by a spatially modulating superconductive order-parameter. To search for such states in transition metal dichalcogenides (TMD) we use high-speed atomic-resolution scanned Josephson-tunneling microscopy (SJTM). We detect a PDW state whose electron-pair density and energy-gap modulate spatially at the wavevectors of the preexisting charge density wave (CDW) state. The PDW couples linearly to both the s-wave superconductor and to the CDW, and exhibits commensurate domains with discommensuration phase-slips at the boundaries, conforming to those of the lattice-locked commensurate CDW. Nevertheless, we find a global phase difference between the PDW and CDW states, possibly owing to the Cooper-pair wavefunction orbital content. Our findings presage pervasive PDW physics in the many other TMDs that sustain both CDW and…
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