Scattering Interference Signature of a Pair Density Wave State in the Cuprate Pseudogap Phase

Abstract

An unidentified quantum fluid designated as the pseudogap (PG) phase is produced by electron-density depletion in the CuO${}_2$ antiferromagnetic insulator. Current theories suggest that the PG phase may be a pair density wave (PDW) state characterized by a spatially modulating density of electron pairs. Such a state should exhibit a periodically modulating energy gap ${\Delta }_P(r)$ in real-space, and a characteristic quasiparticle scattering interference (QPI) signature ${\Lambda }_P(q)$ in wavevector space. By studying strongly underdoped Bi${}_2$Sr${}_2$CaDyCu${}_2$O${}_8$ at hole-density ~0.08 in the superconductive phase, we detect the $8a_0$-periodic ${\Delta }_P(r)$ modulations signifying a PDW coexisting with superconductivity. Then, by visualizing the temperature dependence of this electronic structure from the superconducting into the pseudogap phase, we find evolution of the scattering interference signature $\Lambda (q)$ that is predicted specifically for the temperature dependence of an $8a_0$-periodic PDW. These observations are consistent with theory for the transition from a PDW state coexisting with d-wave superconductivity to a pure PDW state in the Bi${}_2$Sr${}_2$CaDyCu${}_2$O${}_8$ pseudogap phase.

arXiv comment30 pages, 5 figures and Supplementary Information

References in corpus (50)

• Theory of Intertwined Orders in High Temperature Superconductors
• Destruction of the Fermi Surface in Underdoped High Tc Superconductors
• Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
• The pseudogap: friend or foe of high Tc?
• Vanishing of phase coherence in underdoped Bi_2Sr_2CaCu_2O_8+d
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Competing states in the t-J model: uniform d-wave state versus stripe state
• The Physics of Pair Density Waves
• Change of carrier density at the pseudogap critical point of a cuprate superconductor
• Resonant x-ray scattering studies of charge order in cuprates
• How Cooper pairs vanish approaching the Mott insulator in Bi2Sr2CaCu2O8+d
• The remarkable underlying ground states of cuprate superconductors
• Striped superconductors: How the cuprates intertwine spin, charge and superconducting orders
• Detection of a Cooper-Pair Density Wave in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$
• Dynamical layer decoupling in a stripe-ordered, high T_c superconductor
• Pseudogap state from quantum criticality
• Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking
• Thermodynamic evidence for nematic phase transition at the onset of pseudogap in YBa${}_2$Cu${}_3$O${}_y$
• 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
• Bounding the pseudogap with a line of phase transitions in YBCO cuprate superconductors
• Theory of the striped superconductor
• Evolution of the electronic excitation spectrum with strongly diminishing hole-density in superconducting Bi_{2}Sr_{2}CaCu_{2}O_{8+δ}
• Magnetic-field Induced Pair Density Wave State in the Cuprate Vortex Halo
• Atomic-scale Electronic Structure of the Cuprate d-Symmetry Form Factor Density Wave State
• Discovery of a Cooper-Pair Density Wave State in a Transition-Metal Dichalcogenide
• Visualizing the Energy-gap Modulations of the Cuprate Pair Density Wave State
• Unidirectional d-wave superconducting domains in the two-dimensional t-J model
• Commensurate $4a_0$ period Charge Density Modulations throughout the $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+x}$ Pseudogap Regime
• Interpretation of scanning tunneling quasiparticle interference and impurity states in cuprates
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Charge ordering in superconducting copper oxides
• Spectral signatures of modulated d-wave superconducting phases
• Visualization of atomic-scale phenomena in superconductors: application to FeSe
• Fractionalized pair density wave in the pseudo-gap phase of cuprate superconductors
• Atomic-scale Electronic Structure of the Cuprate Pair Density Wave State Coexisting with Superconductivity
• Evolution of Pairing Orders between Pseudogap and Superconducting Phases of Cuprate Superconductors
• Quantum oscillations in a biaxial pair density wave state
• Modeling the pseudogap metallic state in cuprates: quantum disordered pair density wave
• Two routes to magnetic order by disorder in underdoped cuprates
• Vanishing nematic order beyond the pseudogap phase in overdoped cuprate superconductors
• Effective SU(2) theory for the pseudogap state
• Incommensurate charge ordered states in the $t-t^{\prime }-J$ model
• Universality of scanning tunneling microscopy in cuprate superconductors
• Quantum Oscillations in a $\pi$-Striped Superconductor
• The pseudogap in YBa${}_2$Cu${}_3$O${}_{6+\delta }$ is not bounded by a line of phase transitions - thermodynamic evidence
• Unconventional quantum vortex matter state hosts quantum oscillations in the underdoped high-temperature cuprate superconductors
• Proposal to measure the pair field correlator of a fluctuating pair density wave
• Quantum oscillations from a pair-density wave
• Interplay between pair density waves and random field disorders in the pseudogap regime of cuprate superconductors

Cited by in corpus (5)

• Near-infrared light-induced superconducting-like state in underdoped YBa${}_2$Cu${}_3$O${}_y$ studied by $c$-axis terahertz third-harmonic generation
• Microscopic mechanism for fluctuating pair density wave
• Exact solution for finite center-of-mass momentum Cooper pairing
• Intertwined Orders and Electronic Structure in Superconducting Vortex Halos
• Effects of annealing on the fluctuation conductivity and pseudogap in slightly doped $HoB{a}_{2}C{u}_3{O}_{7-\delta }$ single crystals