Reduced effect of impurities on the universal pairing scale in the cuprates

Vorontsov, A. B.; Abanov, Ar.; Vavilov, Maxim; Chubukov, Andrey V.

doi:10.1103/physrevb.81.012508

Cited by 8 publications

(11 citation statements)

References 28 publications

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“…46 and mirrors the standard AG approach for conventional dirty superconductors, with disorder impacting the electronic degrees of freedom. In this regard, one of the main differences between the conventional and unconventional SC cases stems from the reduced coherent electronic spectral weight near the QCP.…”

Section: Suppression Of Tc Due To the Coupling Of Disorder And Bomentioning

confidence: 95%

“…46 , it follows that u 0 = u Q . The spin-fermion model (2) has been studied by a variety of different techniques, from large-N 26,27 and RG 66,67 to Quantum Monte Carlo 28 .…”

Section: Spin-fermion Model and The Linearized Gap Equationsmentioning

confidence: 96%

“…However, quantitatively, the experimentally observed suppression of T c with disorder in cuprates and pnictides is rather small compared to the AG-based results [39][40][41][42][43][44] . Several scenarios have been proposed to reconcile this robustness of SC against disorder, including strong correlation effects 52,55 , spatial inhomogeneity of the gap function 54 , spin-fluctuation mediated pairing 46,53 , disorder-induced enhancement of magnetic fluctuations 45 , distinct intra-orbital and interorbital scattering 47,48,50,51 , and even models advocating for a standard s-wave gap in the pnictides 56 . In this paper, to shed light on our understanding of unconventional SC, we focus on how disorder affects critical AFM-mediated pairing beyond the AG paradigm.…”

Section: Introductionmentioning

confidence: 99%

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Robustness of quantum critical pairing against disorder

Kang¹,

Fernandes²

2016

Phys. Rev. B

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The remarkable robustness of high-temperature superconductors against disorder remains a controversial obstacle towards the elucidation of their pairing state. Indeed, experiments report a weak suppression rate of the transition temperature Tc with disorder, significantly smaller than the universal value predicted by extensions of the conventional theory of dirty superconductors. However, in many high-Tc compounds, superconductivity appears near a putative magnetic quantum critical point, suggesting that quantum fluctuations, which suppress coherent electronic spectral weight, may also promote unconventional pairing. Here we investigate theoretically the impact of disorder on such a quantum critical pairing state, considering the coupling of impurities both to the lowenergy electronic states and to the pairing interaction itself. We find a significant reduction in the suppression rate of Tc with disorder near the magnetic quantum critical point, shedding new light on the nature of unconventional superconductivity in correlated materials.

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Section: Suppression Of Tc Due To the Coupling Of Disorder And Bomentioning

confidence: 95%

“…46 , it follows that u 0 = u Q . The spin-fermion model (2) has been studied by a variety of different techniques, from large-N 26,27 and RG 66,67 to Quantum Monte Carlo 28 .…”

Section: Spin-fermion Model and The Linearized Gap Equationsmentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

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Robustness of quantum critical pairing against disorder

Kang¹,

Fernandes²

2016

Phys. Rev. B

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“…conductors with magnetic impurities [25], multiband s ± superconductors with potential impurities with Γ being the interband scattering rate [3,26], and last, but not least, d-wave superconductors with nonmagnetic impurities [27][28][29]. The expression (2) describes the data quite well which is not surprising in light of the facts that the superconducting order parameter on one of the bands is nodal, while the pairing amplitudes on the other bands are nodeless [10].…”

Section: Resultsmentioning

confidence: 88%

Short-range antiferromagnetic correlations in the superconducting state of filled skutterudite alloys Pr1−xEuxPt4Ge12

et al. 2018

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Motivated by current research efforts towards exploring the interplay between magnetism and superconductivity in multiband electronic systems, we have investigated the effects of Eu substitution through thermodynamic measurements on the superconducting filled skutterudite alloys Pr1−xEuxPt4Ge12. An increase in Eu concentration leads to a suppression of the superconducting transition temperature consistent with an increase of magnetic entropy due to Eu local moments. While the low-temperature heat capacity anomaly is present over the whole doping range, we find that in alloys with x ≤ 0.5 the Schottky peaks in the heat capacity in the superconducting state appear to be due to Zeeman splitting by an internal magnetic field. Our theoretical modeling suggests that this field is a result of the short-range antiferromagnetic correlations between the europium ions. For the samples with x > 0.5, the peaks in the heat capacity signal the onset of antiferromagnetic (AFM) ordering of the Eu moments.

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“…This feature was frequently ascribed to scattering by charged offplane impurities, which is mostly in the forward direction (see, e.g., 14 ). It has also been attributed to the frequency dependence of the pairing interactions in spin-fluctuation theories 15 . The puzzle was partially clarified, however, once strong electronic interactions were shown to give rise to the impurity screening effects seen in these experiments, especially as captured by the Gutzwiller-projected wave function [16][17][18][19][20][21][22][23][24] .…”

mentioning

confidence: 97%

Strong correlations generically protectd-wave superconductivity against disorder

2016

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We address the question of why strongly correlated d-wave superconductors, such as the cuprates, prove to be surprisingly robust against the introduction of non-magnetic impurities. We show that, very generally, both the pair-breaking and the normal state transport scattering rates are significantly suppressed by strong correlations effects arising in the proximity to a Mott insulating state. We also show that the correlation-renormalized scattering amplitude is generically enhanced in the forward direction, an effect which was previously often ascribed to the specific scattering by charged impurities outside the copper-oxide planes. PACS numbers: 71.10.Fd, 71.27.+a, 71.30.+h Introduction.-For many classes of unconventional superconductors, such as the cuprates 1-4 , heavy fermion superconductors 5 , organic materials 6,7 and iron pnictides 8 , electronic interactions are believed to be essential. Among the many puzzling features of these systems is their behavior in the presence of disorder 9,10 . In weakly interacting d-wave superconductors, Abrikosov-Gor'kov (AG) theory predicts that a small concentration of non-magnetic impurities should bring the transition temperature T c to zero. In the case of the cuprates, however, experiments have shown that these d-wave superconductors are very robust against disorder 3,11-13 . This feature was frequently ascribed to scattering by charged offplane impurities, which is mostly in the forward direction (see, e.g., 14 ). It has also been attributed to the frequency dependence of the pairing interactions in spin-fluctuation theories 15 . The puzzle was partially clarified, however, once strong electronic interactions were shown to give rise to the impurity screening effects seen in these experiments, especially as captured by the Gutzwiller-projected wave function [16][17][18][19][20][21][22][23][24] . Despite this progress, it would be desirable to understand both qualitatively and quantitatively whether disorder screening has any significant influence on T c as well as on the normal state transport properties. In other words, can a physically transparent answer be given to the following question: how do strong correlations and Mott physics affect the predictions of AG theory?The transition temperature in the under-doped region of the hole-doped cuprates is believed to be influenced by phase fluctuations, various types of competing orders (such as chargeand spin-density waves), stripe formation, etc. Consequently, impurities act as nucleations centers, which complicates the analysis considerably. In the over-doped region, however, T c is dominated by the superconducting gap opening, thus offering a particularly favorable window into the interplay between disorder and interactions. This regime will be the focus of the present work.In the presence of impurities, the strongly correlated state readjusts itself and creates a renormalized disorder potential. In the dilute limit, the AG theory can be extended to describe the effect of this renormalized potential on T c degrad...

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Reduced effect of impurities on the universal pairing scale in the cuprates

Cited by 8 publications

References 28 publications

Robustness of quantum critical pairing against disorder

Robustness of quantum critical pairing against disorder

Short-range antiferromagnetic correlations in the superconducting state of filled skutterudite alloys Pr1−xEuxPt4Ge12

Strong correlations generically protectd-wave superconductivity against disorder

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