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DOE OSTI · 2004913

Pair Density Wave Order from Electron Repulsion

Wu, Yi-Ming·Nosov, Pavel A.·Patel, Aavishkar A.·Raghu, S.
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Abstract

A pair density wave (PDW) is a superconductor whose order parameter is a periodic function of space, without an accompanying spatially uniform component. Since PDWs are not the outcome of a weak-coupling instability of a Fermi liquid, a generic pairing mechanism for PDW order has remained elusive. Here, we describe and solve models having robust PDW phases. To access the intermediate coupling limit, we invoke large-$N$ limits of Fermi liquids with repulsive BCS interactions that admit saddle point solutions. We show that the requirements for long-range PDW order are that the repulsive BCS couplings must be nonmonotonic in space and that their strength must exceed a threshold value. We obtain a phase diagram with both finite temperature transitions to PDW order and a $T = 0$ quantum critical point, where non-Fermi liquid behavior occurs.

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2-dimensional systems75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITYFFLOSachdev-Ye-Kitaev modelcritical phenomenalarge-N expansion in field theorynon-Fermi-liquid theoryquantum many-body systemsquantum phase transitionssuperconducting fluctuationssuperconducting order parametersuperconducting phase transitionunconventional superconductors

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Wu, Yi-Ming, Nosov, Pavel A., Patel, Aavishkar A., Raghu, S.. 2023-01-13. Pair Density Wave Order from Electron Repulsion. https://doi.org/10.1103/physrevlett.130.026001

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