Superfluid density and two-component conductivity in hole-doped cuprates

Ayres, J. R.; Katsnelson, M. I.; Hussey, N. E.

doi:10.3389/fphy.2022.1021462

Cited by 8 publications

(4 citation statements)

References 60 publications

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“…Due to lack of alternative explanation cf. Ayres, Katsnelson and Hussey [43] we arrive at the conclusion that long sought mechanism of HTS is already found -the well-known Kondo exchange interaction applied to the conduction band charge carriers.…”

Section: Discussionmentioning

confidence: 64%

Hot spots along the Fermi contour of high-Tc cuprates analyzed by s-d exchange interaction

et al. 2022

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We perform a thorough theoretical study of the electron properties of a generic CuO$$_2$$ 2 plane in the framework of Shubin–Kondo–Zener s-d exchange interaction that simultaneously describes the correlation between Tc and the Cu4s energy. To this end, we apply the Pokrovsky theory (J Exp Theor Phys 13:447–450, 1961) for anisotropic gap BCS superconductors. It takes into account the thermodynamic fluctuations of the electric field in the dielectric direction perpendicular to the conducting layers. We microscopically derive a multiplicatively separable kernel able to describe the scattering rate in the momentum space, as well as the superconducting gap anisotropy within the BCS theory. These findings may be traced back to the fact that both the Fermi liquid and the BCS reductions lead to one and the same reduced Hamiltonian involving a separable interaction, such that a strong electron scattering corresponds to a strong superconducting gap and vice versa. Moreover, the superconducting gap and the scattering rate vanish simultaneously along the diagonals of the Brillouin zone. We would like to stress that our theoretical study reproduces the phenomenological analysis of other authors aiming at describing Angle Resolved Photoemission Spectroscopy measurements. Within standard approximations one and the same s-d exchange Hamiltonian describes gap anisotropy of the superconducting phase and the anisotropy of scattering rate of charge carriers in the normal phase.

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Section: Discussionmentioning

confidence: 64%

Hot spots along the Fermi contour of high-Tc cuprates analyzed by s-d exchange interaction

et al. 2022

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“…Yet, as stressed elsewhere, there is now mounting evidence that OD cuprates are in fact strange metals, with a dominant non-FL Tlinear resistivity extending over the entire doping region [2]. Moreover, this strange metal is claimed to exhibit dual character [9,10] with coexisting but spatially separated regions with FL and non-FL character, respectively [57].…”

Section: A Tale Of Two Domesmentioning

confidence: 96%

Insensitivity of Tc to the residual resistivity in high-Tc cuprates and the tale of two domes

Juskus,

Ayres,

Nicholls

et al. 2024

Front. Phys.

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One of the few undisputed facts about hole-doped high-Tc cuprates is that their superconducting gap Δ has d-wave symmetry. According to ‘dirty’ d-wave BCS theory, even structural (non-magnetic) disorder can suppress Δ, the transition temperature Tc and the superfluid density ρs. The degree to which the latter is affected by disorder depends on the nature of the scattering. By contrast, Tc is only sensitive to the total elastic scattering rate (as estimated from the residual resistivity ρ0) and should follow the Abrikosov-Gor’kov pair-breaking formula. Here, we report a remarkable robustness of Tc in a set of Bi2201 single crystals to large variations in ρ0. We also survey an extended body of data, both recent and historical, on the LSCO family which challenge key predictions from dirty d-wave theory. We discuss the possible causes of these discrepancies, and argue that either we do not understand the nature of disorder in cuprates, or that the dirty d-wave scenario is not an appropriate framework. Finally, we present an alternative (non-BCS) scenario that may account for the fact that the superconducting dome in Tl2201 extends beyond that seen in Bi2201 and LSCO and suggest ways to test the validity of such a scenario.

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“…15 It was recently suggested that cuprates are best understood in terms of two distinct current-carrying fluids, of which one behaves like a coherent FL. 22,23 Thus, even within the scattering-rate scenarios alone, the electronic properties of cuprates are intensely discussed, with mutually incompatible proposals. 4 A recent analysis of the optical conductivity data clearly separates scattering-rate from carrier-density effects, revealing unequivocally that the missing part of the Fermi surface (FS) outside the well-known arcs is indeed gapped in cuprates.…”

Section: Introductionmentioning

confidence: 99%

Transport properties and doping evolution of the Fermi surface in cuprates

Klebel-Knobloch¹,

Tabiś²,

Gala³

et al. 2023

Preprint

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Measured transport properties of three representative cuprates are reproduced within the paradigm of two electron subsystems, itinerant and localized. The localized subsystem evolves continuously from the Cu 3d 9 hole at half-filling and corresponds to the (pseudo)gapped parts of the Fermi surface. The itinerant subsystem is observed as a pure Fermi liquid (FL) with material-independent universal mobility across the doping/temperature phase diagram. The localized subsystem affects the itinerant one in our transport calculations solely by truncating the textbook FL integrals to the observed (doping-and temperature-dependent) Fermi arcs. With this extremely simple picture, we obtain the measured evolution of the resistivity and Hall coefficients in all three cases considered, including LSCO which undergoes a Lifshitz transition in the relevant doping range, a complication which turns out to be superficial. Our results imply that prior to evoking polaronic, quantum critical point, quantum dissipation, or even more exotic scenarios for the evolution of transport properties in cuprates, Fermi-surface properties must be addressed in realistic detail.

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Superfluid density and two-component conductivity in hole-doped cuprates

Cited by 8 publications

References 60 publications

Hot spots along the Fermi contour of high-Tc cuprates analyzed by s-d exchange interaction

Hot spots along the Fermi contour of high-Tc cuprates analyzed by s-d exchange interaction

Insensitivity of Tc to the residual resistivity in high-Tc cuprates and the tale of two domes

Transport properties and doping evolution of the Fermi surface in cuprates

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