Generalization of interlayer tunneling models to cuprate superconductors with charge density waves

Abstract

At the beginning of cuprate superconductors, the interlayer tunneling (ILT) and Lawrence-Doniach (L-D) models, which connect the CuO planes by Josephson coupling were considered the leading theoretical proposals for these materials. However, measurements of the interlayer magnetic penetration depth ${\lambda }_c$ yielded larger values than required by the ILT model. After the discovery of planar stripes and incommensurate charge ordering, it was also possible to consider Josephson coupling between these mesoscopic charge domains or blocks. We show that the average intralayer is larger than the interlayer coupling and comparable with the condensation energy, leading to a superconducting transition by long-range phase order. Another consequence is that the ratio $[{\lambda }_c/{\lambda }_{ab}{]}^2$ is directly proportional resistivity ratio ${\rho }_c/{\rho }_{ab}$ near the superconducting transition temperature in agreement with several measurements.

arXiv comment4 pages, 2 figures

References in corpus (27)

• Theory of Phase Ordering Kinetics
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Scanning tunneling spectroscopy of high-temperature superconductors
• Imaging the granular structure of high-Tc superconductivity in underdoped Bi2Sr2CaCu2O8+x
• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Resonant x-ray scattering studies of charge order in cuprates
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• Electronic Phase Diagram of High-T_c Cuprate Superconductors from a Mapping of the In-Plane Resistivity Curvature
• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• Fermi Surface and Pseudogap Evolution in a Cuprate Superconductor
• Numerical Study of the Cahn-Hilliard Equation in One, Two and Three Dimensions
• Charge density waves in cuprate superconductors beyond the critical doping
• c-Axis Transport and Resistivity Anisotropy of Lightly- to Moderately-Doped La_{2-x}Sr_{x}CuO_{4} Single Crystals: Implications on the Charge Transport Mechanism
• Evolution of the resistivity anisotropy in Bi_{2}Sr_{2-x}La_{x}CuO_{6+δ} single crystals for a wide range of hole doping
• Tunnel junctions of unconventional superconductors
• Systematic behaviour of the in-plane penetration depth in d-wave cuprates
• Coupling between dynamic magnetic and charge-order correlations in the cuprate superconductor Nd${}_{2-x}$Ce${}_x$CuO${}_4$
• c-Axis Superfluid Response and Pseudogap in High-Tc Superconductors
• Theory of the Fermi Arcs, the Pseudogap, $T_c$ and the Anisotropy in k-space of Cuprate Superconductors
• Implications evinced by the phase diagram, anisotropy, magnetic penetration depths, isotope effects and conductivities of cuprate superconductors
• Electronic Phase Separation Transition as the Origin of the Superconductivity and the Pseudogap Phase of Cuprates
• Anisotropy of the In-Plane and Out-of-Plane Resistivity and the Hall Effect in the Normal State of Vicinal-Grown YBa${}_2$Cu${}_3$O${}_{7-\delta }$ Thin Films
• Charge segregation model for superconducting correlations in cuprates above $T_c$
• Superconducting correlations induced by charge ordering in cuprate superconductors and Fermi arc formation
• A framework for the description of charge order, pseudo and superconducting gap, critical temperature and pairing interaction in cuprate superconductors
• Visualizing the charge order and topological defects in an overdoped (Bi,Pb)${}_2$Sr${}_2$CuO${}_{6+x}$ superconductor
• Evidence that cuprate superconductors form an array of nanoscopic Josephson junctions

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• Unified model of the Hall effect from insulator to overdoped compounds in cuprate superconductors
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