Feedback of superconducting fluctuations on charge order in the underdoped cuprates

Abstract

Metals interacting via short-range antiferromagnetic fluctuations are unstable to sign-changing superconductivity at low temperatures. For the cuprates, this leading instability leads to the well known $d-$wave superconducting state. However, there is also a secondary instability to an incommensurate charge density wave, with a predominantly $d-$wave form factor, arising from the same antiferromagnetic fluctuations. Recent experiments in the pseudogap regime of the hole-doped cuprates have found strong evidence for such a charge density wave order and, in particular, the predicted $d-$wave form factor. However, the observed wavevector of the charge order differs from the leading instability in Hartree-Fock theory, and is that of a subleading instability. In this paper, we examine the feedback of superconducting fluctuations on these different charge-density wave states, and find that over at least a small temperature window, they prefer the experimentally observed wavevector.

34 pages, 9 figures; (v2) made some textual changes for increased clarity and added references

References in corpus (13)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• A Phenomenological Theory of The Pseudogap State
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa${}_2$Cu${}_3$O${}_{6+\delta }$ Superconductors Identified by Resonant Elastic X-ray Scattering
• Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
• Bond order instabilities in a correlated two-dimensional metal
• Kerr effect as evidence of gyrotropic order in the cuprates
• Fermi surface reconstruction in hole-doped t-J models without long-range antiferromagnetic order
• Resonant X-Ray Scattering Measurements of a Spatial Modulation of the Cu 3d and O 2p Energies in Stripe-Ordered Cuprate Superconductors
• Composite charge order in the pseudogap region of the cuprates
• Auxiliary-boson and DMFT studies of bond ordering instabilities of t-J-V models on the square lattice

Cited by in corpus (17)

• Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates
• Quantum Oscillations in Hole-Doped Cuprates
• Charge Order in the Pseudogap Phase of Cuprate Superconductors
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Connecting high-field quantum oscillations to zero-field electron spectral functions in the underdoped cuprates
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Pseudogap, charge order, and pairing density wave at the hot spots in cuprate superconductors
• Density-wave instabilities of fractionalized Fermi liquids
• Nonequilibrium enhancement of high-temperature superconductivity in a 3D model of cuprates
• Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal
• The special role of the first Matsubara frequency for superconductivity near a quantum-critical point -- the non-linear gap equation below $T_c$ and spectral properties in real frequencies
• Effective SU(2) theory for the pseudogap state
• Superconductivity above a quantum critical point in a metal -- gap closing vs gap filling, Fermi arcs, and pseudogap behavior
• Superconducting and charge-density-wave orders in the spin-fermion model: a comparative analysis
• Nematic fluctuations and their wave vector in two-dimensional metals
• The Effect of Pointlike Impurities on d_{x^2-y^2} Charge Density Waves in Cuprate Superconductors
• Atomic scale imaging of sign-changing order parameter in superconducting FeSe with Tunneling Andreev Reflection