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.

arXiv comment34 pages, 9 figures; (v2) made some textual changes for increased clarity and added references

References in corpus (40)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• 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
• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• Magnetic-field-induced charge-stripe order in the high temperature superconductor YBa2Cu3Oy
• Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
• Ubiquitous Interplay between Charge Ordering and High-Temperature Superconductivity in Cuprates
• Charge order driven by Fermi-arc instability in Bi2201
• Local Ordering in the Pseudogap State of the High-T${}_c$ Superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• From Fermi Arcs to the Nodal Metal: Scaling of the Pseudogap with Doping and Temperature
• Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order
• A Phenomenological Theory of The Pseudogap State
• Diamagnetism and Cooper pairing above $T_c$ in cuprates
• 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
• Pseudogap state from quantum criticality
• Direct phase-sensitive identification of a d-form factor density wave in underdoped cuprates
• Emergence of charge order from the vortex state of a high temperature superconductor
• Thermodynamic phase diagram of static charge order in underdoped YBCO
• Charge-density-wave order with momentum $(2Q,0)$ and $(0,2Q)$ within the spin-fermion model: continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates
• Bond order in two-dimensional metals with antiferromagnetic exchange interactions
• Concepts relating magnetic interactions, intertwined electronic orders and strongly correlated superconductivity
• Neutron scattering study of the magnetic phase diagram of underdoped YBa(2)Cu(3)O(6+x)
• Topological Defects Coupling Smectic Modulations to Intra-unit-cell Nematicity in Cuprate
• Angular fluctuations of a multi-component order describe the pseudogap regime of the cuprate superconductors
• Collapse of the Fermi surface and fingerprints of order in the pseudogap state of cuprate superconductors
• Bond order instabilities in a correlated two-dimensional metal
• Cascade of phase transitions in the vicinity of a quantum critical point
• Kerr effect as evidence of gyrotropic order in the cuprates
• Mean field theory of competing orders in metals with antiferromagnetic exchange interactions
• Luttinger-volume violating Fermi liquid in the pseudogap phase of the cuprate superconductors
• 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
• Diamagnetism of YBa${}_2$Cu${}_3$O${}_{6+x}$ crystals above $T_c$~: evidence for Gaussian fluctuations
• Evidence of a short-range incommensurate $d$-wave charge order from a fermionic two-loop renormalization group calculation of a 2D model with hot spots
• Symmetry of the charge density wave in cuprates
• Universal inhomogeneous magnetic-field response in the normal state of cuprate high-Tc superconductors
• Auxiliary-boson and DMFT studies of bond ordering instabilities of t-J-V models on the square lattice

Cited by in corpus (45)

• 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
• Superconductivity near a quantum-critical point: The special role of the first Matsubara frequency
• 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
• Density-wave instabilities of fractionalized Fermi liquids
• Pseudogap, charge order, and pairing density wave at the hot spots in cuprate superconductors
• Nonequilibrium enhancement of high-temperature superconductivity in a 3D model of cuprates
• Interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal. I: The $\gamma$-model and its phase diagram at $T=0$. The case $0<\gamma <1$
• Orbital symmetry of charge density wave order in La1.875Ba0.125CuO4 and YBa2Cu3O6.67
• Light induced enhancement of superconductivity via melting of competing bond-density wave order in underdoped cuprates
• Fractionalized pair density wave in the pseudo-gap phase of cuprate superconductors
• Renormalization group analysis of the pair-density-wave and charge order within the fermionic hot-spot model for cuprate superconductors
• Enhancement of superconductivity at the onset of charge-density-wave order in a metal
• The nature of effective interaction in cuprate superconductors: a sign-problem-free quantum Monte-Carlo study
• 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
• The interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal
• Effective SU(2) theory for the pseudogap state
• $p$-orbital density wave with $d$ symmetry in high-$T_c$ cuprate superconductors predicted by the renormalization-group + constrained RPA theory
• Fluctuating orders and quenched randomness in the cuprates
• The enigma of the pseudogap phase of the cuprate superconductors
• Is charge order induced near an antiferromagnetic quantum critical point?
• Superconductivity above a quantum critical point in a metal -- gap closing vs gap filling, Fermi arcs, and pseudogap behavior
• Strong competition between ${\Theta }_{II}$-loop-current order and $d$-wave charge order along the diagonal direction in a two-dimensional hot spot model
• Instability towards Staggered Loop Currents in the Three-Orbital Model for Cuprate Superconductors
• Superconducting and charge-density-wave orders in the spin-fermion model: a comparative analysis
• Angle Resolved Photo-Emission Spectroscopy signature of the Resonant Excitonic State
• Hybridization of Higgs modes in a bond-density-wave state in cuprates
• Nematic fluctuations and their wave vector in two-dimensional metals
• The Hubbard model on a triangular lattice -- pseudogap due to spin-density-wave fluctuations
• Local particle-hole pair excitations by SU(2) symmetry fluctuations
• Interplay between uni-directional and bi-directional charge-density-wave orders in underdoped cuprates
• Anomalous softening of phonon-dispersion in cuprate superconductors
• Emergence of charge order in a staggered loop-current phase of cuprate high-temperature superconductors
• Structure of the Charge-Density Wave in Cuprate Superconductors: Lessons from NMR
• Real space Eliashberg approach to charge order of electrons coupled to dynamic antiferromagnetic fluctuations
• Competition between spin-induced charge instabilities in underdoped cuprates
• Incipient loop current order in the under-doped cuprate superconductors
• The Effect of Pointlike Impurities on d_{x^2-y^2} Charge Density Waves in Cuprate Superconductors
• $d$-Density Wave (DDW) Scenario Description of the New Hidden Charge Order in Cuprates
• Atomic scale imaging of sign-changing order parameter in superconducting FeSe with Tunneling Andreev Reflection
• Fluctuating charge order in the cuprates: spatial anisotropy and feedback from superconductivity