Angular fluctuations of a multi-component order describe the pseudogap regime of the cuprate superconductors

Abstract

The hole-doped cuprate high temperature superconductors enter the pseudogap regime as their superconducting critical temperature, $T_c$, falls with decreasing hole density. Experiments have probed this regime for over two decades, but we argue that decisive new information has emerged from recent X-ray scattering experiments (arXiv:1207.0915, arXiv:1206.4333, arXiv:1207.3667). The experiments observe incommensurate charge density wave fluctuations whose strength rises gradually over a wide temperature range above $T_c$, but then decreases as the temperature is lowered below $T_c$. We propose a theory in which the superconducting and charge-density wave orders exhibit angular fluctuations in a 6-dimensional space. The theory provides a natural quantitative fit to the X-ray data, and can be a basis for understanding other characteristics of the pseudogap.

10+9 pages, 8 figures

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Cited by in corpus (101)

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• Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy
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• Dual gauge field theory of quantum liquid crystals in two dimensions
• Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates
• Theory of Laser-Controlled Competing Superconducting and Charge Orders
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• Cascade of phase transitions in the vicinity of a quantum critical point
• Dual gauge field theory of quantum liquid crystals in three dimensions
• Competing Orders in a Nearly Antiferromagnetic Metal
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• Charge ordering in superconducting copper oxides
• Interplay of electron-electron and electron-phonon interactions in the low temperature phase of 1T-TaS2
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• Intermediate Coupling Model of the Cuprates
• Impact of Quenched Oxygen Disorder on Charge Density Wave Order in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Femtosecond x rays link melting of charge-density wave correlations and light-enhanced coherent transport in YBa2Cu3O6.6
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• SO(5) symmetry in the quantum Hall effect in graphene
• Feedback of superconducting fluctuations on charge order in the underdoped cuprates
• Vestigial nematicity from spin and/or charge order in the cuprates
• Explicit Hamiltonians Inducing Volume Law for Entanglement Entropy in Fermionic Lattices
• Fractionalized pair density wave in the pseudo-gap phase of cuprate superconductors
• Light induced enhancement of superconductivity via melting of competing bond-density wave order in underdoped cuprates
• Two distinct kinetic regimes for the relaxation of light-induced superconductivity in La${}_{1.675}$Eu${}_{0.2}$Sr${}_{0.125}$CuO${}_4$
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• Dynamical decoherence of the light induced interlayer coupling in YBa${}_2$Cu${}_3$O${}_{6+\delta }$
• Effective SU(2) theory for the pseudogap state
• Redistribution of phase fluctuations in a periodically driven cuprate superconductor
• Composite charge order in the pseudogap region of the cuprates
• Dimensional Crossover of Charge-Density Wave Correlations in the Cuprates
• Long-range order and pinning of charge-density waves in competition with superconductivity
• Restoring Interlayer Josephson Coupling in La_{1.885}Ba_{0.115}CuO_4 by Charge Transfer Melting of Stripe Order
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• Quantum quenches and competing orders
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• Vortices and charge order in high-T_c superconductors
• Charge modulation as fingerprints of phase-string triggered interference
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• Spatially Inhomogeneous Competition between Superconductivity and the Charge Density Wave in YBa${}_2$Cu${}_3$O${}_{6.67}$
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• Multiple Charge Density Wave States at the Surface of TbTe${}_3$
• Exploring Quasiparticles in High-Tc Cuprates Through Photoemission, Tunneling, and X-ray Scattering Experiments
• Extent of Fermi-surface reconstruction in the high-temperature superconductor HgBa${}_2$CuO${}_{4+\delta }$
• Quantum criticality in two dimensions and Marginal Fermi Liquid
• Instability towards Staggered Loop Currents in the Three-Orbital Model for Cuprate Superconductors
• Density Waves Cause Sub-Gap Structures but no Pseudogap in Superconducting Cuprates
• Using strain to uncover the interplay between two- and three-dimensional charge density waves in high-temperature superconducting YBa${}_2$Cu${}_3$O${}_{\mathrm{y}}$
• Modification of structural disorder by hydrostatic-pressure in superconducting YBa${}_2$Cu${}_3$O${}_{6.73}$ cuprate
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• The Transformation of the Superconducting Gap to an Insulating Pseudogap at a Critical Hole Density in the Cuprates
• Robust Charge-Density Wave Correlations in Optimally-Doped YBa2Cu3Oy
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