Magic Doping Fractions in High-Temperature Superconductors

Abstract

We report hole-doping dependence of the in-plane resistivity ρ_{ab} in a cuprate superconductor La_{2-x}Sr_{x}CuO_{4}, carefully examined using a series of high-quality single crystals. Our detailed measurements find a tendency towards charge ordering at particular rational hole doping fractions of 1/16, 3/32, 1/8, and 3/16. This observation appears to suggest a specific form of charge order and is most consistent with the recent theoretical prediction of the checkerboard-type ordering of the Cooper pairs at rational doping fractions x = (2m+1)/2^n, with integers m and n.

5 pages, 3 figure, resubmitted to Phys. Rev. Lett. The Tc vs. x diagram has been added and the discussions have been modified to focus more on the experimental results

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Cited by in corpus (36)

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• Understanding the insulating phase in CMR manganites: Shortening of the Jahn-Teller long-bond across the phase diagram of La_{1-x} Ca_x Mn O_3
• Unified electronic phase diagram for hole-doped high-Tc cuprates
• Nature of the Magnetic Order in the Charge-Ordered Cuprate La${}_{1.48}$Nd${}_{0.4}$Sr${}_{0.12}$CuO${}_4$
• Acoustic plasmons and conducting carriers in hole-doped cuprate superconductors
• Electronic Inhomogeneity and Breakdown of the Universal Thermal Conductivity in Cuprate Superconductors
• Neutron scattering study of spin ordering and stripe pinning in superconducting La${}_{1.93}$Sr${}_{0.07}$CuO${}_4$
• Doping Controlled Superconductor-Insulator Transition in Bi2Sr2-xLaxCaCu2O8+delta
• Charge Berezinskii-Kosterlitz-Thouless transition in superconducting NbTiN films
• Spin-rotationally symmetric domain flux phases in underdoped cuprates
• Superconducting and Pseudogap Transition Temperatures in High-Tc Cuprates and the $T_c$ Dependence on Pressure
• Universal optimal hole-doping concentration in single-layer high-temperature cuprate superconductors
• Structural matters in HTSC; the origin and form of stripe organization and checker boarding
• Hole correlation and antiferromagnetic order in the t-J model
• Scanning tunneling spectroscopy characterization of the pseudogap and the x = 1/8 anomaly in La2-xSrxCuO4 thin films
• Effects of Superconductivity and Charge Order on the sub-Terahertz reflectivity of La${}_{1.875}$Ba${}_{0.125-y}$Sr${}_y$CuO${}_4$
• Robust intrinsic electronic superconducting phases in underdoped La_{2-x}Sr_xCuO4 single crystals
• Biordered superconductivity and strong pseudogap state
• The square-lattice quantum liquid of charge c fermions and spin-neutral two-spinon s1 fermions
• Nodal-antinodal dichotomy and magic doping fractions in a stripe ordered antiferromagnet
• Extended Bose-Hubbard model with incompressible states at fractional numbers
• Quantum fluctuations of charge order induce phonon softening in a superconducting cuprate
• Superconductivity model for a spin-vortex checkerboard
• The "Bohr" Model for the High Tc Superconductivity
• Role of many phonon modes on the high-temperature linear-in-$T$ electronic resistivity
• Universal intrinsic doping behavior of in-plane dc conductivity for hole-doped high-temperature cuprate superconductors
• Energy-Dependent Enhancement of the Electron-Coupling Spectrum of the Underdoped Bi2Sr2CaCu2O8+d Superconductor
• The Superconducting and Pseudogap Phase Diagram of High-Tc Cuprates
• Bimagnon dispersion of La2CuO4 probed by resonant inelastic X-ray scattering
• One-electron scattering rate and normal-state linear-$T$ resistivity of the cuprates
• Planar hole-doping concentration and effective three-dimensional hole-doping concentration for single-layer high-$T_c$ superconductors
• Theory of superconducting and nonsuperconducting stripe phases in the hole-doped superconductor Ca{2-x}Na{x}CuO{2}Cl{2} (x=1/8,1/16)
• Magic doping: From the localized hole-pair to the checkerboard patterns