Quasiparticle lifetimes in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>d</mml:mi></mml:mrow><mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>x</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi>−</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi>y</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:mrow></mml:msub></mml:mrow></mml:math>superconductor

Duffy, Daniel J.; Hirschfeld, P. J.; Scalapino, D. J.

doi:10.1103/physrevb.64.224522

Cited by 33 publications

(48 citation statements)

References 25 publications

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“…In a d-wave superconductor, both regimes are expected to carry signatures of the nodal quasiparticle spectrum, namely, the linear energy dependence of the density of states [47][48][49][50] .…”

Section: Discussionmentioning

confidence: 99%

“…Curiously, both spin-fluctuation scattering and direct quasiparticle-quasiparticle scattering are expected to give rise to a T 3 temperature dependence in a d-wave superconductor [47][48][49][50] . On closer inspection, this simply reflects the fact that a spin fluctuation is a correlated electron-hole pair: in the superconducting state, correlations between electrons and holes weaken, and the spinfluctuations increasingly resemble a dilute quasiparticle gas 47 .…”

Section: Discussionmentioning

confidence: 99%

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Nodal quasiparticle dynamics in the heavy fermion superconductor CeCoIn5 revealed by precision microwave spectroscopy

et al. 2013

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CeCoIn 5 is a heavy fermion superconductor with strong similarities to the high-T c cuprates, including quasi-two-dimensionality, proximity to antiferromagnetism and probable d-wave pairing arising from a non-Fermi-liquid normal state. Experiments allowing detailed comparisons of their electronic properties are of particular interest, but in most cases are difficult to realize, due to their very different transition temperatures. Here we use low-temperature microwave spectroscopy to study the charge dynamics of the CeCoIn 5 superconducting state. The similarities to cuprates, in particular to ultra-clean YBa 2 Cu 3 O y , are striking: the frequency and temperature dependence of the quasiparticle conductivity are instantly recognizable, a consequence of rapid suppression of quasiparticle scattering below T c ; and penetration-depth data, when properly treated, reveal a clean, linear temperature dependence of the quasiparticle contribution to superfluid density. The measurements also expose key differences, including prominent multiband effects and a temperature-dependent renormalization of the quasiparticle mass.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Nodal quasiparticle dynamics in the heavy fermion superconductor CeCoIn5 revealed by precision microwave spectroscopy

et al. 2013

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“…36 The distinction between Umklapp and normal processes has since been included in calculations of quasiparticles scattering from antiferromagnetic spin fluctuations to obtain good agreement with thermal and microwave conductivity data. 15,37 The third feature of the data is the similarity of the magnitude of 1/τ (T ) in the three materials, being nearly identical in the two Bi Recent work to include the effect of small-angle scattering in the SCTMA theory has been very successful in describing experimental data and represents a major advance in our understanding of the transport properties of the cuprates.…”

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confidence: 97%

Electrical transport measurements in the superconducting state ofBi2Sr2CaCu2O8

et al. 2006

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Precise measurements of the in-plane microwave surface impedance of high-quality single crystals of Bi2Sr2CaCu2O8+x and Tl2Ba2CuO 6+δ are used to probe the relaxation time of nodal quasiparticles in the d-wave superconducting state through a two-fluid analysis of the microwave conductivity. While this analysis requires us to posit a form for the frequency-dependent quasiparticle conductivity, we clearly demonstrate that the extraction of the relaxation rate is quite insensitive to the assumed shape of the quasiparticle spectrum. The robustness of the analysis is rooted in the oscillator-strength sum rule and the fact that we simultaneously measure the real and imaginary parts of the conductivity. In both Bi2Sr2CaCu2O8+x and Tl2Ba2CuO 6+δ we infer a linear temperature dependence of the transport relaxation rate 1/τ and a small but finite zero-temperature intercept. The linear temperature dependence of 1/τ is in accord with expectations for weak elastic scattering in an unconventional superconductor with line nodes and a small residual density of states. The same analysis reveals an onset of inelastic scattering at higher temperatures similar to that seen in the YBa2Cu3O6+x superconductors. Finally we extrapolate the two-fluid model over a range of frequencies up to five times the measurement frequency, where the extrapolation predicts behaviour that is qualitatively similar to terahertz conductivity data on Bi2Sr2CaCu2O8+x thin films. While relaxation rates in Bi2Sr2CaCu2O8+x and Tl2Ba2CuO 6+δ are substantially higher than in YBa2Cu3O6+x there are qualitative similarities between all three materials, and the differences can likely be attributed to varying levels of static disorder. We therefore conclude that a universal picture of quasiparticle scattering in the cuprates is emerging.

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“…At lower temperatures, (T ) ∼ 0 + BT 3 / 2 . This behavior is characteristic of nodal quasiparticles undergoing large-momentum-transfer scattering processes, either due to the exchange of antiferromagnetic spin fluctuations, 71,72 or from direct, short-range repulsion. 73,74 Interestingly, the energy threshold for exciting Umklapp processes appears to be small, 73 suggesting that the gap nodes are separated by approximately a reciprocal lattice vector.…”

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confidence: 99%

In-plane superfluid density and microwave conductivity of the organic superconductorκ-(BEDT-TTF)2Cu[N(CN)2]Br: Evidence for
Milbradt
¹
,
Bardin
²
,
Truncik
³

et al. 2013
Phys. Rev. B
35
4
46
1
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We report the in-plane microwave surface impedance of a high-quality single crystal of κ-(BEDT-TTF) 2 Cu[N(CN) 2 ]Br. In the superconducting state, we find three independent signatures of d-wave pairing: (i) a strong, linear temperature dependence of superfluid density; (ii) deep in the superconducting state the quasiparticle scattering rate ∼ T 3 ; and (iii) no BCS coherence peak is observed in the quasiparticle conductivity. Above T c , the Kadowaki-Woods ratio and the temperature dependence of the in-plane conductivity show that the normal state is a Fermi liquid below 23 K, yet resilient quasiparticles dominate the transport up to 50 K. It has been widely argued that the doped Mott insulator describes the essential physics of the cuprates.1 Similarly, the physics of the κ-(ET) 2 X salts (ET is an abbreviation of BEDT-TTF) appears to be connected to the bandwidth-controlled Mott transition.2 Thus, it is essential to identify and understand the important similarities and differences between these two classes of quasi-two-dimensional superconductor. In both the cuprates and the κ-(ET) 2 X salts, the superconducting critical temperature is only two orders of magnitude smaller than the Fermi temperature; in this sense, both are high-temperature superconductors.A broad consensus that the cuprates are d-wave superconductors was quickly reached.3-6 However, the nature of the pairing state of the κ-(ET) 2 X salts has taken longer to understand due to the lack of a "smoking gun" experiment. 7,8 Early on there was clear evidence for singlet pairing. [9][10][11][12] This, and the low symmetry of the organics, limits the pairing symmetry to be either s-wave (A 1g representation of the D 2h point group) or d-wave (B 2g ).13 Early heat capacity experiments suggested s-wave pairing, 14,15 but more recent low-temperature data point to d-wave pairing. 16 Measurements of the NMR relaxation rate support unconventional pairing. [9][10][11][12] Disorder studies show a reduction in T c with increasing scattering 17,18 but, for larger scattering rates, the suppression of T c is less than expected for non-s-wave superconductors.Attempts to locate the nodes expected in a d-wave superconductor have not yet yielded a simple picture. The in-plane thermal conductivity shows a fourfold angular variation with minima at 45• to the crystal axes, 19 whereas when a magnetic field is rotated in the plane both the heat capacity 20 and the millimeter wave absorption 21 have minima when the field is aligned with the crystal axes. At first sight these results seem contradictory, but both experiments are extremely difficult to interpret 22 and a complicated phase diagram could occur as a function of field strength and temperature. 20,22 Nevertheless, as this has not yet been observed, these measurements have not yet settled the pairing symmetry. There have also been attempts to directly image the gap via scanning tunneling microscopy (STM).23 Some care is needed with the interpretation of these experiments as the coherence peaks, the key feature of ...

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Quasiparticle lifetimes in adx2−y2superconductor

Cited by 33 publications

References 25 publications

Nodal quasiparticle dynamics in the heavy fermion superconductor CeCoIn5 revealed by precision microwave spectroscopy

Nodal quasiparticle dynamics in the heavy fermion superconductor CeCoIn5 revealed by precision microwave spectroscopy

Electrical transport measurements in the superconducting state ofBi2Sr2CaCu2O8

In-plane superfluid density and microwave conductivity of the organic superconductorκ-(BEDT-TTF)2Cu[N(CN)2]Br: Evidence for
Milbradt
¹
,
Bardin
²
,
Truncik
³

et al. 2013
Phys. Rev. B
35
4
46
1
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Quasiparticle lifetimes in adx2−y2superconductor

Cited by 33 publications

References 25 publications

Nodal quasiparticle dynamics in the heavy fermion superconductor CeCoIn5 revealed by precision microwave spectroscopy

Nodal quasiparticle dynamics in the heavy fermion superconductor CeCoIn5 revealed by precision microwave spectroscopy

Electrical transport measurements in the superconducting state ofBi2Sr2CaCu2O8

In-plane superfluid density and microwave conductivity of the organic superconductorκ-(BEDT-TTF)2Cu[N(CN)2]Br: Evidence forMilbradt1, Bardin2, Truncik3 et al. 2013Phys. Rev. B354461View full textAdd to dashboardCite

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In-plane superfluid density and microwave conductivity of the organic superconductorκ-(BEDT-TTF)2Cu[N(CN)2]Br: Evidence for
Milbradt
¹
,
Bardin
²
,
Truncik
³

et al. 2013
Phys. Rev. B
35
4
46
1
View full text Add to dashboard Cite