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.

arXiv comment10 pages including supplementary materials + 4 figs

References in corpus (34)

• Theory of Intertwined Orders in High Temperature Superconductors
• Pairing and Phase Separation in a Polarized Fermi Gas
• Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
• Roton pair density wave and unconventional strong-coupling superconductivity in a topological kagome metal
• Fulde-Ferrell-Larkin-Ovchinnikov State in Heavy Fermion Superconductors
• The Physics of Pair Density Waves
• Dynamical layer decoupling in a stripe-ordered, high T_c superconductor
• Sublattice Interference in the Kagome Hubbard Model
• Imbalanced Feshbach-resonant Fermi gases
• Superconductivity of doped Weyl semimetals: finite-momentum pairing and electronic analogues of the 3He-A phase
• Magnetic-field Induced Pair Density Wave State in the Cuprate Vortex Halo
• Superconductivity in Weyl metals
• Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates
• Cooper pairing of incoherent electrons: an electron-phonon version of the Sachdev-Ye-Kitaev model
• Topological nodal Cooper pairing in doped Weyl metals
• Unidirectional d-wave superconducting domains in the two-dimensional t-J model
• Large $N$ theory of critical Fermi surfaces
• Pair Density Wave correlations in the Kondo-Heisenberg Model
• Solvable Strong-coupling Quantum Dot Model with a Non-Fermi-liquid Pairing Transition
• Thermodynamic evidence for the Fulde-Ferrell-Larkin-Ovchinnikov state in the KFe2As2 superconductor
• Nature of Stripes in the Generalized t-J Model Applied to The Cuprate Superconductors
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Pair Density Waves in Superconducting Vortex Halos
• Superconductivity with Finite-Momentum Pairing in Zero Magnetic Field
• Strong Coupling Limit of the Holstein-Hubbard Model
• A critical strange metal from fluctuating gauge fields in a solvable random model
• Stability of RVB hole stripes in high-temperature superconductors
• Pairing Theory of Striped Superconductivity
• Interplay between Pair Density Wave and a Nested Fermi Surface
• Topological density-wave states in a particle-hole symmetric Weyl metal
• Effective model for a supercurrent in a pair-density wave
• Pair density wave and reentrant superconducting tendencies originating from valley polarization
• Suppression of superfluid stiffness near Lifshitz-point instability to finite momentum superconductivity
• Majorana fermion arcs and the local density of states of UTe${}_2$

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• 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