Implications evinced by the phase diagram, anisotropy, magnetic penetration depths, isotope effects and conductivities of cuprate superconductors

Schneider, T.; Keller, H.

doi:10.1088/1367-2630/6/1/144

Cited by 16 publications

(18 citation statements)

References 94 publications

(175 reference statements)

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“…This is consistent with the generic behavior for high-temperature superconductors, where for a given HTS family T c increases with reduced aniostropy. 10,13,14 Although these changes are small compared to those in the critical amplitudes of the in-plane penetration depth ∆λ abo /λ abo and the correlation lengths ∆ξ ab0 /ξ ab0 , ∆ξ c0 /ξ c0 (see Table I) it becomes clear that the pressure induced change of the anisotropy is the essential ingredient which remains to be understood microscopically. Empirically the anisotropy decreases rather steeply by approaching optimum doping and levels off in the overdoped regime.…”

Section: Fig 2: Magnetization Data Rescaled According Tomentioning

confidence: 99%

“…Empirically the anisotropy decreases rather steeply by approaching optimum doping and levels off in the overdoped regime. 10,13,14 Together with Eq. (6) this explains why the pressure effect on T c becomes very small in optimally and overdoped cuprate superconductors.…”

Section: Fig 2: Magnetization Data Rescaled According Tomentioning

confidence: 99%

“…5,6 Since in cuprate high-temperature superconductors, including YBa 2 Cu 4 O 8 , the critical regime where thermal critical fluctuations dominate is experimentally accessible, various critical properties are not independent but related by universal realtions. 7,8,9,10,11,12,13,14 Accordingly, the isotope or pressure effects on these quantities are related as well.…”

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confidence: 99%

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Pressure effects on the superconducting properties ofYBa2Cu4O8

2005

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Measurements of the magnetization under high hydrostatic pressure (up to 10.2 kbar) in YBa2Cu4O8 were carried out. From the scaling analysis of the magnetization data the pressure induced shifts of the transition temperature Tc, the volume V and the anisotropy γ have been obtained. It was shown that the pressure induced relative shift of Tc mirrors essentially that of the anisotropy. This observation uncovers a novel generic property of anisotropic type II superconductors, that inexistent in the isotropic case.

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Section: Fig 2: Magnetization Data Rescaled According Tomentioning

confidence: 99%

Section: Fig 2: Magnetization Data Rescaled According Tomentioning

confidence: 99%

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confidence: 99%

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Pressure effects on the superconducting properties ofYBa2Cu4O8

2005

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“…There is considerable evidence that cuprate superconductors with moderate anisotropy exhibit in zero field 3D-xy critical behavior [11,12,13,14,20,22,23,24,36,37,38,39,40,41,42,43,44]. The critical exponents are then given by [45,46] …”

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confidence: 99%

Magnetic field induced 3D–1D crossover in type-II superconductors

Schneider

2008

J. Phys.: Condens. Matter

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Abstract. We review and analyze magnetization and specific heat investigations on type-II superconductors which uncover remarkable evidence for the magnetic field induced finite size effect and the associated 3D to 1D crossover which enhances thermal fluctuations. Indeed, the correlation length transverse to the magnetic field H i , applied along the i-axis, cannot grow beyond the limiting magnetic length1/2 , related to the average distance between vortex lines. Noting that 1D is incompatible with the occurrence of a continuous phase transition at finite temperatures, the mean-field transition line H C2 (T ) is replaced by the 3D to 1D crossover line Hp (T ). Since the magnetic field induced finite size effect relies on thermal fluctuations and there enhancement originating from the 3D to 1D crossover, its observability is not be restricted to type-II superconductors with small correlation volume only, including YBa 2 Cu 4 O 8 , NdBa 2 Cu 3 O 7−δ , YBa 2 Cu 3 O 7−δ , and DyBa 2 Cu 3 O 7−δ , where 3D-xy critical behavior was already observed in zero field. Indeed, our analysis of the reversible magnetization of RbOs 2 O 6 and the specific heat of Nb 77 Zr 23 , Nb 3 Sn and NbSe 2 reveals that even in these low Tc superconductors with comparatively large correlation volume the 3D to 1D crossover is observable in sufficiently high magnetic fields. Consequently, below Tc and above H pi (T ) superconductivity is confined to cylinders with diameter L H i (1D) and there is no continuous phase transition in the (H, T ) -plane along the H c2 (T ) -line as predicted by the mean-field treatment. Moreover we observe that the thermodynamic vortex melting transition occurs in the 3D regime. While in YBa 2 Cu 4 O 8 , NdBa 2 Cu 3 O 7−δ , YBa 2 Cu 3 O 7−δ , and DyBa 2 Cu 3 O 7−δ it turns out to be driven by 3D-xy thermal fluctuations, the specific heat data of the conventional type-II superconductors Nb 77 Zr 23 , Nb 3 Sn and NbSe 2 point to Gaussian fluctuations. Because the vortex melting and the 3D-1D crossover line occur at universal values of the scaling variable their relationship is universal.

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“…Theoretical calculations revealed that the logarithmic temperature dependence of the resistivity is expected in granular metals because of the Coulomb interaction [33,34]. Furthermore, analysis of the temperature dependence of the magnetic-field penetration depth λ in different cuprate superconductors shows a finite-size effect on λ, revealing the existence of superconducting nanoscale domains [35]. The observed oxygen isotope effect (OIE) on the size of the superconducting domains clearly indicates the existence and relevance of the coupling between the superfluid and local lattice distortions [35].…”

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confidence: 97%

Axisymmetric incompressible flows with bounded vorticity

Danchin¹

2007

Russ. Math. Surv.

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In the hole-doped, high-temperature superconducting cuprates, an intrinsic heterogeneity is found, from the early observations to recent data. Below optimum doping, the heterogeneity consists of dynamic metallic and, at low temperatures, superconducting regions in the form of clusters or stripes, which develop and decay as a function of time and location in the antiferromagnetic lattice. This behaviour is underlined by the interesting linear relation between the oxygen isotope shifts of the magnetic penetration depth and the critical temperature with a slope that is a factor 2 larger than expected for the homogeneous distribution of superfluid density. Allusion is also made to the Bose-Einstein condensation reported in structurally heterogeneous, polycrystalline polymer platelets as well as especially to the heterogeneous distribution of visible and dark matter in the Universe, which point to a change of paradigm in modern physics. perspective

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Implications evinced by the phase diagram, anisotropy, magnetic penetration depths, isotope effects and conductivities of cuprate superconductors

Cited by 16 publications

References 94 publications

Pressure effects on the superconducting properties ofYBa2Cu4O8

Pressure effects on the superconducting properties ofYBa2Cu4O8

Magnetic field induced 3D–1D crossover in type-II superconductors

Axisymmetric incompressible flows with bounded vorticity

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