Introduction to D-Wave Superconductivity

Won, Hyung Jin; Maki, Kazumi; Puchkaryov, E.

doi:10.1007/978-94-010-0758-0_19

Cited by 7 publications

(9 citation statements)

References 41 publications

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“…The study of disorder in d-wave SC phase has a long history [16][17][18], with early treatment within a Hartree-FockBogoliubov inhomogeneous mean field theory (IMT) [18,19], which ignores the effects of strong electronic correlations. Strong Mott correlations and consequent projection of the low energy Hilbert space into states with no double occupancies [20][21][22][23] are however crucial to understanding the non-BCS character of the d-wave SC state in cuprates.…”

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confidence: 99%

Effects of strong disorder in strongly correlated superconductors

2017

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We investigate the effect of strong disorder on a system with strong electronic repulsion. In absence of disorder, the system has a d-wave superconducting ground-state with strong non-BCS features due to its proximity to a Mott insulator. We find that, while strong correlations make superconductivity in this system immune to weak disorder, superconductivity is destroyed efficiently when disorder strength is comparable to the effective bandwidth. The suppression of charge motion in regions of strong potential fluctuation leads to formation of Mott insulating patches, which anchor a larger non-superconducting region around them. The system thus breaks into islands of Mott insulating and superconducting regions, with Anderson insulating regions occurring along the boundary of these regions. Thus, electronic correlation and disorder, when both are strong, aid each other in destroying superconductivity, in contrast to their competition at weak disorder. Our results shed light on why Zinc impurities are efficient in destroying superconductivity in cuprates, even though it is robust to weaker impurities.Strong inter-particle interactions and strong inhomogeneous potentials both tend to localize fermions. Strong repulsion can result in complete suppression of charge motion at commensurate filling, leading to a Mott insulator [1], while strong disorder, causes decoherence of fermions triggering formation of Anderson insulators [2]. There is some evidence that weak disorder in presence of strong interactions [3][4][5][6][7] as well as strong disorder in presence of weak interactions [8] compete with each other, but the question of strong disorder in presence of strong repulsion remains unresolved. This is not merely an issue of theoretical interest, since the complex interplay of electronic interactions and disorder in twodimensional (2D) materials is often crucial to understanding novel phenomena [9][10][11][12][13][14] beyond the standard paradigm of Fermi liquid and BCS superconductivity.A prototype of strongly interacting electronic systems is the cuprate high T c superconductors (HTSC), which are antiferromagnetic Mott insulators at half-filling (one particle per site) and show d-wave superconductivity for a range of doping. In this paper, we will consider the effect of strong disorder on the strongly interacting d-wave superconducting (SC) state proximal to the Mott insulator. Our key findings are: (i) While the presence of strong correlations makes superconductivity robust to weak disorder, at large disorder comparable to bandwidth, superconductivity is rapidly suppressed. (ii) At large disorder, Mott insulating patches anchor a surrounding region akin to Anderson insulator. With increasing disorder strength, these islands grow at the expense of local superconductivity. Thus at large disorder, strong correlation and strong potential fluctuations help each other in bringing about the sudden death of superconductivity. The three distinct regions leave clear signatures in the local density of states. Our results shed ...

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confidence: 99%

Effects of strong disorder in strongly correlated superconductors

2017

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“…(6c), hints that the summations in Eqs. (13) and (14) can be further restricted to a limited set (leaving out the states close to band edges) to achieve a desired accuracy.…”

Section: Pairing Of Limited States With Close By Energiesmentioning

confidence: 99%

“…[1][2][3][4][5] In contrast, the conventional wisdom developed along the lines of Abrikosov-Gorkov (AG) theory 6 predicts an extreme sensitivity of these materials to impurities. The original idea, based on perturbative expansions, had been refined subsequently, leading to self-consistent T-matrix calculations, [7][8][9][10][11][12] but the broad sensitivity 13 of these materials to disorder survived.…”

Section: Introductionmentioning

confidence: 99%

Pairing theory for strongly correlated d -wave superconductors

2017

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Motivated by recent proposals of correlation induced insensitivity of d-wave superconductors to impurities, we develop a simple pairing theory for these systems for up to a moderate strength of disorder. Our description implements the key ideas of Anderson, originally proposed for disordered s-wave superconductors, but in addition takes care of the inherent strong electronic repulsion in these compounds, as well as disorder induced inhomogeneities. We first obtain the self-consistent one-particle states, that capture the effects of disorder exactly, and strong correlations using Gutzwiller approximation. These 'normal states', representing the interplay of strong correlations and disorder, when coupled through pairing attractions following the path of Bardeen-Cooper-Schrieffer (BCS), produce results nearly identical to those from a more sophisticated Gutzwiller augmented Bogoliubov-de Gennes analysis.

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“…Therefore in the following we assume that the interlayer transport is described in terms of coherent tunneling [10,23]. Let us consider the quasi-particle transport from one layer to another.…”

Section: Edp Sciencesmentioning

confidence: 99%

Out-of-plane optical conductivity ind-wave superconductors

Dóra¹,

Maki²,

Virosztek³

2001

Europhys. Lett.

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PACS. 74.20.-z -Theories and models of superconducting states. PACS. 74.25.Fy -Transport properties. PACS. 74.25.Gz -Optical properties.Abstract. -We study theoretically the out of plane optical conductivity of d-wave superconductors in the presence of impurities at T = 0K. Unlike the usual approach, we assume that the interlayer quasi-particle transport is due to coherent tunneling. The present model describes the T 2 dependence of the out of plane superfluid density observed in Y BCO and T l2201 for example. In the optical conductivity there is no Drude peak in agreement with experiment, and the interlayer Josephson tunneling is also assured in this model. In the unitary limit we predict a step like behaviour around ω ∼ ∆ in both the real and imaginary part of the optical conductivity.

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Introduction to D-Wave Superconductivity

Cited by 7 publications

References 41 publications

Effects of strong disorder in strongly correlated superconductors

Effects of strong disorder in strongly correlated superconductors

Pairing theory for strongly correlated d -wave superconductors

Out-of-plane optical conductivity ind-wave superconductors

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