Magnetic Penetration Depths in Cuprates: A short Review of Measurement Techniques and Results

Hardy, W. N.; Kamal, Saeid; Bonn, D. A.

doi:10.1007/0-306-47081-0_21

Cited by 13 publications

(21 citation statements)

References 60 publications

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“…Both the requirements are satisfied, for example, in the case of in-plane resistivity and superfluid density in the PG "phase". In fact, the theoretically derived universality curves are in a quite satisfactory also quantitative agreement with the corresponding experimental data, as shown in Figure 2, with the experimentally observed "3/2" critical exponent for the superfluid density [58] well reproduced, due to the 3DXY nature of the spinon-triggered superconductivity transition [59]. a b Figure 2.…”

Section: Relevance For the Cupratessupporting

confidence: 83%

Fractional Statistics of Charge Carriers in the One- and Two-Dimensional t-J Model: A Hint for the Cuprates?

Marchetti

2020

Condensed Matter

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We show that we can interpret the exact solution of the one-dimensional t-J model in the limit of small J in terms of charge carriers with both exchange (braid) and exclusion (Haldane) statistics with parameter 1/2. We discuss an implementation of the same statistics in the two-dimensional t-J model, emphasizing similarities and differences with respect to one dimension. In both cases, the exclusion statistics is a consequence of the no-double occupation constraint. We argue that the application of this formalism to hole-doped high Tc cuprates and the derived composite nature of the hole give a hint to grasp many unusual properties of these materials.

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Section: Relevance For the Cupratessupporting

confidence: 83%

Fractional Statistics of Charge Carriers in the One- and Two-Dimensional t-J Model: A Hint for the Cuprates?

Marchetti

2020

Condensed Matter

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“…Since space is limited, we will assume familiarity with the basic concepts of the BCS model [17] and refer the reader to any standard text for a more detailed discussion. For some further reading, the reader is encouraged to explore the following articles: [61,9,7,44,43,111,140,201,34,206,207,88,58,103,20] 1.1. Pairing states We begin by defining the term "pairing state", our discussion closely following that of Annett et al [11,7].…”

Section: Introductionmentioning

confidence: 99%

Magnetic penetration depth in unconventional superconductors

Prozorov

Giannetta

2006

Supercond. Sci. Technol.

417

438

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Abstract. This topical review summarizes various features of magnetic penetration depth in unconventional superconductors. Precise measurements of the penetration depth as a function of temperature, magnetic field and crystal orientation can provide detailed information about the pairing state. Examples are given of unconventional pairing in hole-and electron-doped cuprates, organic and heavy fermion superconductors. The ability to apply an external magnetic field adds a new dimension to penetration depth measurements. We discuss how field dependent measurements can be used to study surface Andreev bound states, nonlinear Meissner effects, magnetic impurities, magnetic ordering, proximity effects and vortex motion. We also discuss how penetration depth measurements as a function of orientation can be used to explore superconductors with more than one gap and with anisotropic gaps. Details relevant to the analysis of penetration depth data in anisotropic samples are also discussed.Keywords: penetration depth, unconventional superconductivity, pairing symmetry IntroductionThe early suggestion that high temperature superconductors might exhibit unconventional, d-wave pairing, [24,11,154,8] has lead to a wide variety of new experimental probes with sensitivity sufficient to test this hypothesis. The pioneering work of Hardy and coworkers demonstrated that high resolution measurements of the London penetration depth could detect the presence of nodal quasiparticles characteristic of a d-wave pairing state [87]. Since that time, a large number of new superconductors have been discovered, many of which exhibit nontrivial departures from BCS behavior. As we show in this review, penetration depth measurements can be used to examine not only nodal quasiparticles but two-gap superconductivity, anisotropy of the energy gap, Andreev surface states, nonlinear Meissner effect, interplane transport, proximity coupled diamagnetism, vortex matter and the coexistence of magnetism and superconductivity, to name several problems of current interest.

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“…[1][2][3] The possibility of disorder in exotic superconductors is well known, but analyses performed to date have concentrated on the effect of disorderinduced scattering on the momentum space structure of the gap. [4][5][6][7] This paper is motivated by the possibility that disorder may lead to nanoscale real space variation and the associated need to model the relationship between such spatial variation and properties that are measured on longer length scales.…”

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confidence: 99%

Calculation of the effect of random superfluid density on the temperature dependence of the penetration depth

Lippman¹,

Moler²

2012

Phys. Rev. B

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Microscopic variations in composition or structure can lead to nanoscale inhomogeneity in superconducting properties such as the magnetic penetration depth, but measurements of these properties are usually made on longer length scales. We solve a generalized London equation with a non-uniform penetration depth, λ(r), obtaining an approximate solution for the disorder-averaged Meissner screening. We find that the effective penetration depth is different from the average penetration depth and is sensitive to the details of the disorder. These results indicate the need for caution when interpreting measurements of the penetration depth and its temperature dependence in systems which may be inhomogeneous.

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Magnetic Penetration Depths in Cuprates: A short Review of Measurement Techniques and Results

Cited by 13 publications

References 60 publications

Fractional Statistics of Charge Carriers in the One- and Two-Dimensional t-J Model: A Hint for the Cuprates?

Fractional Statistics of Charge Carriers in the One- and Two-Dimensional t-J Model: A Hint for the Cuprates?

Magnetic penetration depth in unconventional superconductors

Calculation of the effect of random superfluid density on the temperature dependence of the penetration depth

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