Transformation of the superconducting gap to an insulating pseudogap at a critical hole density in the cuprates

Liu, Ye-Hua; Wang, Wansheng; Wang, Qiang-Hua; Zhang, Fuchun; Rice, T. M.

doi:10.1103/physrevb.96.014522

Cited by 7 publications

(11 citation statements)

References 49 publications

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“…Instead, we have introduced an empirical picture in which strong electron correlation effects within the CuO 4 plaquette emerge in the strongly overdoped region of the phase diagram and first induce an anomalous (linear in temperature and frequency) and anisotropic (Umklapp) scattering on initially coherent quasiparticle states that grows in intensity with decreasing doping and finally crosses a coherence bound at T coh . This interaction then begins to consume the quasiparticle weight in a manner that spreads progressively across the underlying Fermi surface with further decrease in the effective carrier number, leading to the formation of Fermi arcs whose own extent gradually disappears as the Mott state is approached [Liu17].…”

Section: Discussionmentioning

confidence: 99%

A tale of two metals: contrasting criticalities in the pnictides and hole-doped cuprates

Hussey¹,

Buhot²,

Licciardello³

2018

Rep. Prog. Phys.

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The iron-based high temperature superconductors share a number of similarities with their copper-based counterparts, such as reduced dimensionality, proximity to states of competing order, and a critical role for 3d electron orbitals. Their respective temperature-doping phase diagrams also contain certain commonalities that have led to claims that the metallic and superconducting (SC) properties of both families are governed by their proximity to a quantum critical point (QCP) located inside the SC dome. In this review, we critically examine these claims and highlight significant differences in the bulk physical properties of both systems. While there is now a large body of evidence supporting the presence of a (magnetic) QCP in the iron pnictides, the situation in the cuprates is much less apparent, at least for the end point of the pseudogap phase. We argue that the opening of the normal state pseudogap in cuprates, so often tied to a putative QCP, arises from a momentum-dependent breakdown of quasiparticle coherence that sets in at much higher doping levels but which is driven by the proximity to the Mott insulating state at half filling. Finally, we present a new scenario for the cuprates in which this loss of quasiparticle integrity and its evolution with momentum, temperature and doping plays a key role in shaping the resultant phase diagram.

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Section: Discussionmentioning

confidence: 99%

A tale of two metals: contrasting criticalities in the pnictides and hole-doped cuprates

Hussey¹,

Buhot²,

Licciardello³

2018

Rep. Prog. Phys.

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“…In cuprates with next-nearest-neighbour hopping, this umklapp surface is not a surface of constant energy, but each k-point on the surface is part of a degenerate set of eight points, each connected via umklapp scattering processes. (Liu et al 2017) divided these eight points into two subsets of four points, with velocities parallel to the (1, 1) and (1, −1) directions, respectively. Within each subset, the four points are connected by umklapp scattering processes that transfer momentum (π, π), similar to the case of twoleg ladders at half-filling.…”

Section: Analytical Approaches To Extending the Physics Of The Short ...mentioning

confidence: 99%

Anomalies in the pseudogap phase of the cuprates: competing ground states and the role of umklapp scattering

et al. 2019

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Over the past two decades, advances in computational algorithms have revealed a curious property of the two-dimensional Hubbard model (and related theories) with hole doping: the presence of close-in-energy competing ground states that display very different physical properties. On the one hand, there is a complicated state exhibiting intertwined spin, charge, and pair density wave orders. We call this 'type A'. On the other hand, there is a uniform d-wave superconducting state that we denote as 'type B'. We advocate, with the support of both microscopic theoretical calculations and experimental data, dividing the high-temperature cuprate superconductors into two corresponding families, whose properties reflect either the type A or type B ground states at low temperatures. We review the anomalous properties of the pseudogap phase that led us to this picture, and present a modern perspective on the role that umklapp scattering plays in these phenomena in the type B materials. This reflects a consistent framework that has emerged over the last decade, in which Mott correlations at weak coupling drive the formation of the pseudogap. We discuss this development, recent theory and experiments, and open issues. * If one did not refermionise the spin sector, the non-linear interaction term within the bosonic theory reads −4g a =b cos Θ a cos Θ b , which is suggestive of a high symmetry. * This is easy to see in the purely bosonic language, as the interaction term −4g cos Θ sf cos Θ f at strong coupling pins the bosons to (Θ sf , Θ f ) = (2mπ, 2nπ or (Θ sf , Θ f ) = [2m + 1]π, [2n + 1]π with n, m ∈ Z. * Interestingly, recent gauge theory calculations that are proposed to apply to the pseudogap phase of the cuprates find such a deformation of the Fermi surface. See figure 7(a) of (Sachdev et al. 2018).

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“…2 and Refs. [14,15,21]. This deformation of the Fermi surface to run along the U-surface allows a straightforward generalization of the 1D 2LHL analysis, leading to T -linear resistivity, to 2D.…”

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confidence: 92%

“…Linear resistivity for T > T * .-At the center of our argument for linear resistivity (T ) ∝ T at high temperature is the mapping of electrons along the U-surface (i.e., in the antinodal region and the vicinity of the hotspots) to effective ladder models, see Refs. [14,15]. U-scattering of such electrons dominates the resistivity, 32 both due to the propensity of U-scattering to dissipate momentum and the strength of such terms (which flow to strong coupling under the FRG 16 ).…”

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confidence: 99%

Umklapp scattering as the origin of T -linear resistivity in the normal state of high- Tc cuprate superconductors

Rice¹,

Robinson²,

Tsvelik³

2017

Phys. Rev. B

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The high-temperature normal state of the unconventional cuprate superconductors has resistivity linear in temperature T , which persists to values well beyond the Mott-Ioffe-Regel upper bound. At low-temperature, within the pseudogap phase, the resistivity is instead quadratic in T , as would be expected from Fermi liquid theory. Developing an understanding of these normal phases of the cuprates is crucial to explain the unconventional superconductivity. We present a simple explanation for this behavior, in terms of umklapp scattering of electrons. This fits within the general picture emerging from functional renormalization group calculations that spurred the Yang-Rice-Zhang ansatz: umklapp scattering is at the heart of the behavior in the normal phase.

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Transformation of the superconducting gap to an insulating pseudogap at a critical hole density in the cuprates

Cited by 7 publications

References 49 publications

A tale of two metals: contrasting criticalities in the pnictides and hole-doped cuprates

A tale of two metals: contrasting criticalities in the pnictides and hole-doped cuprates

Anomalies in the pseudogap phase of the cuprates: competing ground states and the role of umklapp scattering

Umklapp scattering as the origin of T -linear resistivity in the normal state of high- Tc cuprate superconductors

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