Relationship between and implications of the isotope and pressure effects on transition temperature, penetration depths and conductivities

Abstract

It is shown that the empirical relations between transition temperature, normal state conductivity linearly extrapolated to the value at the transition temperature, zero temperature penetration depths, etc., as observed in a rich variety of cuprate superconductors, are remarkably consistent with the universal critical properties of anisotropic systems which fall into the 3D-XY universality class and undergo a crossover to a quantum critical point in 2D. The variety includes n- and p-type cuprates, comprises the underdoped and overdoped regimes and the consistency extends up to six decades in the scaling variables. The resulting scaling relations for the oxygen isotope and hydrostatic pressure effects agree with the experimental data and reveal that these effects originate from local lattice distortions preserving the volume of the unit cell. These observations single out 3D and anisotropic microscopic models which incorporate local lattice distortions, fall in the experimentally accessible regime into the 3D-XY universality class, and incorporate the crossover to 2D quantum criticality where superconductivity disappears.

19 pages, 17 figures

References in corpus (13)

• Universal scaling relation in high-temperature superconductors
• Direct observation of the oxygen isotope effect on the in-plane magnetic field penetration depth in optimally doped YBa${}_2$Cu${}_3$O${}_{7-\delta }$
• 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
• The order of the metal to superconductor transition
• Electron Dynamics in Nd${}_{1.85}$Ce${}_{.15}$CuO${}_{4+\delta }$: Evidence for the Pseudogap State and Unconventional c-axis Response
• Site-selective oxygen isotope effect on the magnetic field penetration depth in underdoped Y${}_{0.6}$Pr${}_{0.4}$Ba${}_2$Cu${}_3$O${}_{7-\delta }$
• Oxygen-isotope effect on the in-plane penetration depth in underdoped Y_{1-x}Pr_xBa_2Cu_3O_{7-delta} as revealed by muon-spin rotation
• Universal properties of cuprate superconductors
• Probing inhomogeneities in type II superconductors by means of thermal fluctuations, magnetic fields and isotope effects
• Finite size effect in Bi2Sr2CaCu2O(8+d) and YBa2Cu3O6.7 probed by the in-plane and out of plane penetration depths
• Magnetic field dependence of the oxygen isotope effect on the magnetic penetration depth in hole-doped cuprate superconductors
• Relationship between the isotope effects on transition temperature, specific heat and penetration depths
• Relevance of electron-lattice coupling in cuprates superconductors

Cited by in corpus (7)

• Anisotropic superconductivity in the two-dimensional electron-phonon system
• The toy model for the high-Tc superconductivity
• Evidence for strong lattice effects as revealed from huge unconventional oxygen isotope effects on the pseudogap temperature in La${}_{2-x}$Sr${}_x$CuO${}_4$
• The n_s - T_c correlations in granular superconductors
• Pressure and isotope effect on the anisotropy of MgB${}_2$
• Pressure effects on the superconducting properties of YBa_2Cu_4O_8
• Pseudogap in Eliashberg approach based on electron-phonon and electron-electron-phonon interaction