Survival of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-Wave Superconducting State near the Edge of Antiferromagnetism in the Cuprate Phase Diagram

Hosseini, Ahmad; Broun, D. M.; Sheehy, Daniel E.; Davis, Tom P.; Franz, Marcel; Hardy, W. N.; Liang, Ruixing; Bonn, D. A.

doi:10.1103/physrevlett.93.107003

Cited by 61 publications

(72 citation statements)

References 27 publications

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“…This model appears to explain the data on hole doped cuprates, including extremely underdoped YBCO. [93] These same experiments indicate that nodal quasiparticles persist even in extremely underdoped materials and are a robust feature of the copper oxides. [126] Strong anisotropy does not necessitate incoherent transport.…”

Section: Nonlocal Electrodynamics Of Nodal Superconductorsmentioning

confidence: 83%

Magnetic penetration depth in unconventional superconductors

Prozorov

Giannetta

2006

Supercond. Sci. Technol.

395

433

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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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Section: Nonlocal Electrodynamics Of Nodal Superconductorsmentioning

confidence: 83%

Magnetic penetration depth in unconventional superconductors

Prozorov

Giannetta

2006

Supercond. Sci. Technol.

395

433

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“…We also assume that J Ќ / J is independent of doping, and we choose J Ќ / J =10 −3 , which is appropriate in the range of doping considered. 17 Thus, the only remaining free parameter is , which can be chosen by fitting the temperature dependence of the data around the transition. The result, reported in Fig.…”

Section: ͑8͒mentioning

confidence: 99%

Doping dependence of the vortex-core energy in bilayer films of cuprates

2008

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The energy needed to create a vortex core is the basic ingredient to address the physics of thermal vortex fluctuations in underdoped cuprates. Here, we theoretically investigate its role in the occurrence of the Beresinskii-Kosterlitz-Thouless transition in a bilayer film with inhomogeneity. From the comparison with recent measurements of the penetration depth in two-unit-cell thin films, we can extract the value of the vortex-core energy and show that scales linearly with T c at low doping.

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“…[9] While this seems to be appealing, other consequences that follow the DDW picture are still in debates. For example, the temperature derivative of the superfluid density at low temperatures was claimed to be insensitive to the doping deep in the under-doped limit of YBCO thin films, [10] but another group reported that in YBCO crystals it tends to diverge with under-doping. [11] While DDW picture is consistent with the latter, it can not account for the former results.…”

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confidence: 99%

Competing orders and interlayer tunneling in cuprate superconductors: A finite-temperature Landau theory

Pei

Wang

2005

Phys. Rev. B

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We propose a finite temperature Landau theory that describes competing orders and interlayer tunneling in cuprate superconductors as an important extension to a corresponding theory at zero temperature [Nature 428, 53 (2004)], where the superconducting transition temperature Tc is defined in three possible ways as a function of the zero temperature order parameter. For given parameters, our theory determines Tc without any ambiguity. In mono-and double-layer systems we discuss the relation between zero temperature order parameter and the associated transition temperature in the presence of competing orders, and draw a connection to the puzzling experimental fact that the pseudo-gap temperature is much higher than the corresponding energy scale near optimum doping. Applying the theory to multi-layer systems, we calculate the layer-number dependence of Tc. In a reasonable parameter space the result turns out to be in agreement with experiments.The essential phenomenology of high-T c superconductors are the dome-shaped superconducting phase diagram as a function of doping x, and the existence of a pseudogap normal state. The mechanism of the novel superconductivity remains to be a challenge to researchers. The fact that superconductivity follows from doping antiferromagnetic Mott insulators and that the transition temperature depends on doping non-monotonically suggest the importance of the effects of strong correlation among the electrons, as emphasized firstly by Anderson.[1] A theory in this line must go beyond the usual Bardeen-Cooper-Schrieffer mean field theory. However, there is also a possibility that the phenomenon is not that exotic, and a modification to the conventional theory by including a competing order may do the job. This is the attitude taken by Chakravarty, Kee and Völker [2], who proposed a zero temperature Landau theory to explain the general phase diagram, and in particular the copper-oxide layer-number N (within a unit cell) dependence of superconducting transition temperature T c of homologous series of cuprate superconductors. [3] The new ingredients are just a competing order, e.g., the d-density-wave (DDW), [4] and inter-layer tunnelling that enhances superconductivity.[5] It is therefore important to judge how robust the conclusions are against the weak points in the theory. Indeed, a few of them are debatable even within the mean field framework itself. 1) When two orders compete with each other, it is not clear whether there is still a definite connection between the zero temperature order parameter and the transition temperature even if this is the case in the absence of competition between the orders. 2) In the case of multi-layer systems, it is not clear which representative of the modulated order parameters (due to charge redistribution) is most appropriate to be related to the transition temperature, even if one assumes that the zero temperature order parameter scales with the transition temperature. 3) Moreover, the underlying motivation for a competing order to superconductivit...

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Survival of thed-Wave Superconducting State near the Edge of Antiferromagnetism in the Cuprate Phase Diagram

Cited by 61 publications

References 27 publications

Magnetic penetration depth in unconventional superconductors

Magnetic penetration depth in unconventional superconductors

Doping dependence of the vortex-core energy in bilayer films of cuprates

Competing orders and interlayer tunneling in cuprate superconductors: A finite-temperature Landau theory

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