Predictions for impurity-induced<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="italic">T</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="italic">c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>suppression in the high-temperature superconductors

Radtke, R. J.; Levin, K.; Schüttler, Heinz-Bernd; Norman, M. R.

doi:10.1103/physrevb.48.653

Cited by 181 publications

(157 citation statements)

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“…In superconductors with an anisotropic order parameter, both magnetic and non-magnetic impurities are pair breaking.For d-wave symmetry, the effect of non-magnetic impurities is equivalent to magnetic impurities in s-wave superconductors 284,285 . Effectively this means that superconductivity in such systems cannot persist until disorder becomes high enough to transform the system into Anderson insulator.…”

Section: Appendix B: Linearized Gap Equation In Disordered Systemmentioning

confidence: 99%

Superconductivity and localization

1997

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We present a review of theoretical and experimental works on the problem of mutual interplay of Anderson localization and superconductivity in strongly disordered systems. Superconductivity exists close to the metalinsulator transition in some disordered systems such as amorphous metals, superconducting compounds disordered by fast neutron irradiation etc. Hightemperature superconductors are especially interesting from this point of view. Only bulk systems are considered in this review. The superconductor-insulator transition in purely two-dimensional disordered systems is not discussed.We start with brief discussion of modern aspects of localization theory including the basic concept of scaling, self-consistent theory and interaction effects. After that we analyze disorder effects on Cooper pairing and superconducting transition temperature as well as Ginzburg-Landau equations for superconductors which are close to the Anderson transition. A necessary generalization of usual theory of "dirty" superconductors is formulated which allows to analyze anomalies of the main superconducting properties close to disorder-induced metal-insulator transition. Under very rigid conditions superconductivity may persist even in the localized phase (Anderson insulator).Strong disordering leads to considerable reduction of superconducting transition temperature T c and to important anomalies in the behavior of the upper critical field H c2 . Fluctuation effects are also discussed. In the vicinity of Anderson transition inhomogeneous superconductivity appears due to statistical fluctuations of the local density of states.We briefly discuss a number of experiments demonstrating superconductivity close to the Anderson transition both in traditional and high-T c superconductors. In traditional systems superconductivity is in most cases destroyed before metal-insulator transition. In case of high-T c superconductors a number of anomalies show that superconductivity is apparently conserved in the localized phase before it is suppressed by strong enough disorder. The concept of electron localization 1 is basic for the understanding of electron properties of disordered systems 2,3 . In recent years a number of review papers had appeared, extensively discussing this problem [4][5][6][7] . According to this concept introduction of sufficiently strong disorder into a metallic system leads to spatial localization of electronic states near the Fermi level and thus to a transition to dielectric state (Anderson transition). After this transition dc conductivity (at zero temperature, T = 0) vanishes, despite the finite value of electronic density of states at the Fermi level (at least in one-electron approximation).At the same time it is well-known that even the smallest attraction of electrons close to the Fermi level leads to formation of Cooper pairs and the system becomes superconducting at sufficiently low temperatures 8,9 . It is known that the introduction of disorder which does not break the time-reversal invariance (normal, nonm...

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Section: Appendix B: Linearized Gap Equation In Disordered Systemmentioning

confidence: 99%

Superconductivity and localization

1997

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“…By fixing T c at 32 K we also fixed the value of the gap. For the case of d-wave pairing, T c is quite strongly suppressed due to the presence of scattering [18]. In our calculations we had to take T c0 64 K, which is then reduced to 32 K due to our assumed scattering rate of 6 meV.…”

mentioning

confidence: 99%

Grazing Incidence Infrared Reflectivity ofLa1.85Sr0.15CuO4
Somal
¹
,
Feenstra
²
,
Schützmann
³

et al. 1996
Phys. Rev. Lett.
36
2
16
0
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“…In p-wave superconductors, as the normal-state resistivity increases due to impurity scattering, the superconducting transition temperature T c is expected to decrease [34][35][36][37], and strong suppression of T c with increasing normal-state resistivity has been observed experimentally in the putative p-wave superconductor Sr 2 RuO 4 [33,37]. Therefore, the direct correlation we observe between the normal-state CF resistivity at T=0.3K and the low-temperature ν = 5/2 FQHS energy gap is in qualitative agreement with the strong dependence of T c on normal-state resistivity in p-wave superconductors.…”

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confidence: 99%

High-temperature resistivity measured at ν=52 as a predictor of the two-dimensional electron gas quality in the N=1 Landau level

et al. 2017

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We report a high temperature (T = 0.3K) indicator of the excitation gap ∆ 5/2 at the filling factor ν = 5/2 fractional quantum Hall state in ultra-high quality AlGaAs/GaAs two-dimensional electron gases. As the lack of correlation between mobility µ and ∆ 5/2 has been well established in previous experiments, we define, analyze and discuss the utility of a different metric ρ 5/2 , the resistivity at ν = 5/2, as a high temperature predictor of ∆ 5/2 . This high-field resistivity reflects the scattering rate of composite fermions. Good correlation between ρ 5/2 and ∆ 5/2 is observed in both a density tunable device and in a series of identically structured wafers with similar density but vastly different mobility. This correlation can be explained by the fact that both ρ 5/2 and ∆ 5/2 are sensitive to long-range disorder from remote impurities, while µ is sensitive primarily to disorder localized near the quantum well.

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Predictions for impurity-inducedTcsuppression in the high-temperature superconductors

Cited by 181 publications

References 25 publications

Superconductivity and localization

Superconductivity and localization

Grazing Incidence Infrared Reflectivity ofLa1.85Sr0.15CuO4
Somal
¹
,
Feenstra
²
,
Schützmann
³

et al. 1996
Phys. Rev. Lett.
36
2
16
0
View full text Add to dashboard Cite

High-temperature resistivity measured at ν=52 as a predictor of the two-dimensional electron gas quality in the N=1 Landau level

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Predictions for impurity-inducedTcsuppression in the high-temperature superconductors

Cited by 181 publications

References 25 publications

Superconductivity and localization

Superconductivity and localization

Grazing Incidence Infrared Reflectivity ofLa1.85Sr0.15CuO4Somal1, Feenstra2, Schützmann3 et al. 1996Phys. Rev. Lett.362160View full textAdd to dashboardCite

High-temperature resistivity measured at ν=52 as a predictor of the two-dimensional electron gas quality in the N=1 Landau level

Contact Info

Product

Resources

About

Grazing Incidence Infrared Reflectivity ofLa1.85Sr0.15CuO4
Somal
¹
,
Feenstra
²
,
Schützmann
³

et al. 1996
Phys. Rev. Lett.
36
2
16
0
View full text Add to dashboard Cite