Cuprate superconductors as viewed through a striped lens

Abstract

Understanding the electron pairing in hole-doped cuprate superconductors has been a challenge, in particular because the "normal" state from which it evolves is unprecedented. Now, after three and a half decades of research, involving a wide range of experimental characterizations, it is possible to delineate a clear and consistent cuprate story. It starts with doping holes into a charge-transfer insulator, resulting in in-gap states. These states exhibit a pseudogap resulting from the competition between antiferromagnetic superexchange $J$ between nearest-neighbor Cu atoms (a real-space interaction) and the kinetic energy of the doped holes, which, in the absence of interactions, would lead to extended Bloch-wave states whose occupancy is characterized in reciprocal space. To develop some degree of coherence on cooling, the spin and charge correlations must self-organize in a cooperative fashion. A specific example of resulting emergent order is that of spin and charge stripes, as observed in La${}_{2-x}$Ba${}_x$CuO${}_4$. While stripe order frustrates bulk superconductivity, it nevertheless develops pairing and superconducting order of an unusual character. The antiphase order of the spin stripes decouples them from the charge stripes, which can be viewed as hole-doped, two-leg, spin-$\frac{1}{2}$ ladders. To achieve superconducting order, the pair correlations in neighboring ladders must develop phase order. In the presence of spin stripe order, antiphase Josephson coupling can lead to pair-density-wave superconductivity. Alternatively, in-phase superconductivity requires that the spin stripes have an energy gap, which empirically limits the coherent superconducting gap. Hence, superconducting order in the cuprates involves a compromise between the pairing scale, which is maximized at $x\sim \frac{1}{8}$, and phase coherence, which is optimized at $x\sim 0.2$.

arXiv comment74 pages, 24 figures; This article has been accepted for publication in Advances in Physics, published by Taylor & Francis; includes significant revisions and additions

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• Self Duality and a possible Hall-insulator phase near the superconductor-to-insulator transition in two-dimensional indium-oxide films
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• Spin correlations among the charge carriers in an ordered stripe phase
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• New insights into the phase diagram of the copper oxide superconductors from electronic Raman scattering
• Doping evolution of spin and charge excitations in the Hubbard model
• Magnetic Excitations of Stripes Near a Quantum Critical Point
• High-energy magnetic excitations from dynamic stripes in LBCO (x=1/8)
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• Detection of electronic nematicity using scanning tunneling microscopy
• Electron-phonon interaction in Strongly Correlated Systems
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• Low-energy antiferromagnetic spin fluctuations limit the coherent superconducting gap in cuprates
• A hydrodynamical description for magneto-transport in the strange metal phase of Bi-2201
• Disappearance of Superconductivity Due to Vanishing Coupling in the Overdoped Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Fragile superconductivity in the presence of weakly disordered charge density waves
• Fermi Arcs in the Superconducting Clustered State for Underdoped Cuprates
• The Hall number across a van Hove singularity
• Doping dependent optical properties of Bi2201
• Neutron Scattering Evidence for a Periodically-Modulated Superconducting Phase in the Underdoped Cuprate La${}_{1.905}$Ba${}_{0.095}$CuO${}_4$
• Probing the connections between superconductivity, stripe order, and structure in La1.905Ba0.095Cu1-yZnyO4
• Topological Origin of the Fermion Sign Problem
• Evidence of a critical hole concentration in underdoped YBa${}_2$Cu${}_3$O${}_y$ single crystals revealed by ${}^{63}$Cu NMR
• Charge-screening role of $c$-axis atomic displacements in YBa${}_2$Cu${}_3$O${}_{6+x}$ and related superconductors
• Fermi surface reconstruction by a charge-density-wave with finite correlation length
• Higgs Mode and Magnon Interactions in 2D Quantum Antiferromagnets from Raman Scattering
• Signatures of a pair density wave at high magnetic fields in cuprates with charge and spin orders
• Quantum fluctuations in the spiral phase of the Hubbard model
• Observation of cyclotron resonance and measurement of the hole mass in optimally-doped La${}_{2-x}$Sr${}_x$CuO${}_4$
• A Field Theory for Fermionic Ladder with Generic Intrachain Interactions
• Evolution of superconducting correlations within magnetic-field-decoupled CuO(2) layers of La(1.905)Ba(0.095)CuO(4)
• DC Hall coefficient of the strongly correlated Hubbard model
• Spatially Inhomogeneous Competition between Superconductivity and the Charge Density Wave in YBa${}_2$Cu${}_3$O${}_{6.67}$
• The cuprate phase diagram and the influence of nanoscale inhomogeneities
• The n_s - T_c correlations in granular superconductors
• Continuous doping of a cuprate surface: new insights from in-situ ARPES
• Non-Gaussian Noise in the In-Plane Transport of Lightly Doped La_{2-x}Sr_{x}CuO_4: Evidence for a Collective State of Charge Clusters
• Decrease of d-wave pairing strength in spite of the persistence of magnetic excitations in the overdoped Hubbard model
• Emergent granularity and pseudogap near the superconductor-insulator transition
• Finite wave vector pairing in doped two-leg ladders
• Thermal Phase Transition in Two-Dimensional Disordered Superconductors: Kosterlitz-Thouless vs Percolation
• Spin-wave thermodynamics of square-lattice antiferromagnets revisited
• Magnetic excitations and amplitude fluctuations in insulating cuprates
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• Coincident onset of charge density wave order at a quantum critical point in underdoped YBCO
• Microscopic Inhomogeneity and Superconducting Properties of a Two-dimensional Hubbard Model for High-$T_c$ Cuprate
• Planar CuO_2 hole density estimation in multilayered high-T_c cuprates
• The nature of the phase transition in the cuprates as revealed by a magnetic field free stiffness meter
• Pseudogap and Competing States in Underdoped Cuprates
• Effects of charge inhomogeneities on elementary excitations in La_{2-x}Sr_xCuO_4
• Neutron Scattering and Its Application to Strongly Correlated Systems
• Nature and impact of stripe freezing in La${}_{1.67}$Sr${}_{0.33}$NiO${}_4$
• Modelling Magnetic Fluctuations in the Stripe Ordered State
• Evidence for magnetic-field-induced decoupling of superconducting bilayers in La${}_{2-x}$Ca${}_{1+x}$Cu${}_2$O${}_6$
• Modeling a striped pseudogap state
• iPEPS study of spin symmetry in the doped $t$-$J$ model
• Multilayered cuprate superconductor Ba${}_2$Ca${}_5$Cu${}_6$O${}_{12}$(O${}_{1-x}$,F${}_x$)${}_2$ studied by temperature-dependent scanning tunneling microscopy and spectroscopy
• Signatures of nematic quantum critical fluctuations in the Raman spectra of lightly doped cuprates
• On the Dichotomy between the Nodal and Antinodal Excitations in High-temperature Superconductors
• Coexistence of Two Components in Magnetic Excitations of La${}_{2-x}$Sr${}_x$CuO${}_4$ ($x$ = 0.10 and 0.16)
• Hard antinodal gap revealed by quantum oscillations in the pseudogap regime of underdoped high-$T_{\mathrm{c}}$ superconductors
• Magnetization of underdoped YBa${}_2$Cu${}_3$O${}_y$ above the irreversibility field
• Evidence for site-centered stripes from magnetic excitations in CuO superconductors
• Detection of Striped Superconductors Using Magnetic Field Modulated Josephson Effect
• How magnetic field can transform a superconductor into a Bose metal
• Magnetic fluctuations in pair density wave superconductors
• Reply to "Comment on `No evidence for orbital loop currents in charge-ordered YBa${}_2$Cu${}_3$O${}_{6+x}$ from polarized neutron diffraction' "
• Quantum oscillations from a pair-density wave
• Dependence of $T_c$ on the $q-\omega$ structure of the spin-fluctuation spectrum
• Spin Dynamics in the t-t'-J Model: Dynamical Density-Matrix Renormalization Group Study
• Gapless spin excitations in superconducting La${}_{2-x}$Ca${}_{1+x}$Cu${}_2$O${}_6$ with $T_c$ up to 55 K

Cited by in corpus (47)

• Discovery of charge density wave in a correlated kagome lattice antiferromagnet
• Coexistence of superconductivity with partially filled stripes in the Hubbard model
• Stripes and spin-density waves in the doped two-dimensional Hubbard model: ground state phase diagram
• Intertwined spin, charge and pair correlations in the two-dimensional Hubbard model in the thermodynamic limit
• Temperature Dependence of Spin and Charge Orders in the Doped Two-Dimensional Hubbard Model
• Pair density wave in doped three-band Hubbard model on two-leg square cylinders
• Unconventional density waves and superconductivities in Fe-based superconductors and other strongly correlated electron systems
• Striped electronic phases in an incommensurately modulated van der Waals superlattice
• Strongly-overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$: Evidence for Josephson-coupled grains of strongly-correlated superconductor
• Identification of a Nematic Pair Density Wave State in Bi2Sr2CaCu2O8+x
• Stripe correlations in the two-dimensional Hubbard-Holstein model
• An electronic origin of charge order in infinite-layer nickelates
• Formation of stripes in a mixed-dimensional cold-atom Fermi-Hubbard system
• Ubiquitous Charge Order Correlations in High-Temperature Superconducting Cuprates
• Superconductivity from charge order in cuprates
• Interplay of finite-energy and finite-momentum superconducting pairing
• Testing for pair-density-wave order in La${}_{1.875}$Ba${}_{0.125}$CuO${}_4$
• Reinvestigation of crystal symmetry and fluctuations in La${}_2$CuO${}_4$
• Competition between spin ordering and superconductivity near the pseudogap boundary in La2-xSrxCuO4: insights from NMR
• From non-metal to strange metal at the stripe-percolation transition in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Designing the stripe-ordered cuprate phase diagram through uniaxial-stress
• Signatures of two gaps in the spin susceptibility of a cuprate superconductor
• Spin and charge density waves in the quasi-one-dimensional KMn6Bi5
• Comparative study of charge order in undoped infinite-layer nickelate superconductors
• Relaxed hydrodynamic theory of electrically driven non-equilibrium steady states
• Topological Doping and Superconductivity in Cuprates: An Experimental Perspective
• Structural origins of the infamous "Low Temperature Orthorhombic" to "Low Temperature Tetragonal" phase transition in high-Tc cuprates
• Vacancy-induced suppression of CDW order and its impact on magnetic order in kagome antiferromagnet FeGe
• Light-induced coherent interlayer transport in stripe-ordered ${\mathrm{La}}_{1.6-x}{\mathrm{Nd}}_{0.4}{\mathrm{Sr}}_x{\mathrm{CuO}}_4$
• Beyond-Hubbard pairing in a cuprate ladder
• Exploring High-Temperature Superconductivity in the Extended Hubbard Model with Antiferromagnetic Tendencies
• Fluctuating charge-density-wave correlations in the three-band Hubbard model
• Evolution of magnetic stripes under uniaxial stress in La${}_{1.885}$Ba${}_{0.115}$CuO${}_4$ studied by neutron scattering
• Magnetic Field Tuning of Parallel Spin Stripe Order and Fluctuations near the Pseudogap Quantum Critical Point in La${}_{1.36}$Nd${}_{0.4}$Sr${}_{0.24}$CuO${}_4$
• Optically-induced Umklapp shift currents in striped cuprates
• Spin-stripe order tied to the pseudogap phase in La1.8-xEu0.2SrxCuO4
• Tilted stripes origin in ${\mathrm{La}}_{1.88}{\mathrm{Sr}}_{0.12}{\mathrm{CuO}}_4$ revealed by anisotropic next-nearest neighbor hopping
• Gradual emergence of superconductivity in underdoped LSCO
• Searching for superconductivity in doped triangular lattice Kitaev magnets
• Spin-stripes in the Hubbard model: a combined DMFT and Bethe-Salpeter analysis
• The doping evolution of the charge density wave and charge density fluctuations in La${}_{2-x}$Sr${}_x$CuO${}_4$
• La${}_{2-x}$Ba${}_x$CuO${}_4$ as a superconducting Rosetta Stone
• Thermodynamic phase diagram of the competition between superconductivity and charge order in cuprates
• Pseudogap in electron-doped cuprates: thermal precursor to magnetism
• "Half-Bogoliubons" as the intermediate states for the phase coherence in underdoped cuprates
• Phase coexistence in a half-filled extended Hubbard model
• Photodynamic melting of phase-reversed charge stripes and enhanced condensation