Pair density wave order from electron repulsion

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. 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 non-monotonic 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.

10 pages including supplementary materials + 4 figs

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• Weak-Coupling Theory of Pair Density-Wave Instabilities in Transition Metal Dichalcogenides
• Microscopic mechanism for fluctuating pair density wave
• Triplet Pair-Density Wave Superconductivity on the $\pi$-flux Square Lattice
• "Quantum Geometric Nesting" and Solvable Model Flat-Band Systems
• Singlet, Triplet and Pair Density Wave Superconductivity in the Doped Triangular-Lattice Moiré System
• Sublattice modulated superconductivity in the Kagome Hubbard model
• Exact solution for finite center-of-mass momentum Cooper pairing
• Self-consistent theory of $2\times 2$ pair density waves in kagome superconductors
• Pair-density-wave and $s\pm \mathrm{i}d$ superconductivity in a strongly coupled, lightly doped Kondo insulator
• Nodal pair density waves from a quarter-metal in crystalline graphene multilayers
• Pair-density-wave superconductivity: a microscopic model on 2D honeycomb lattice
• Superconductivity and pair density waves from nearest-neighbor interactions in frustrated lattice geometries
• Pair density wave characterized by a hidden string order parameter
• Density matrix renormalization group study of quantum-geometry-facilitated pair density wave order
• Strong pair-density-wave fluctuations in an exactly solvable doped Mott insulator
• Vestigial $d$-wave charge-$4e$ Superconductivity from Bidirectional Pair Density Waves
• Nematic single-component superconductivity and loop-current order from pair-density wave instability
• Finite-momentum and field-induced pairings in orbital-singlet spin-triplet superconductors
• Infinite critical boson induced non-Fermi liquid in $d=3-\epsilon$ dimensions
• Pair-density-wave phase of strongly interacting electrons on the triangular lattice: A variational Monte Carlo study
• Spin pumping effect in non-Fermi liquid metals
• Spin-triplet pair density wave superconductors
• Order by projection in single-band Hubbard model: a DMRG study