Quantum oscillations in an overdoped high-Tc superconductor

Vignolle, Baptiste; Carrington, A.; Cooper, R.; French, M. M. J.; Mackenzie, A. P.; Jaudet, Cyril; Vignolles, David; Proust, Cyril; Hussey, N. E.

doi:10.1038/nature07323

Cited by 289 publications

(334 citation statements)

References 29 publications

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“…2 (from [13]), reveals a single frequency at F = 540 T [10,12]. In 2008, quantum oscillations were observed in strongly overdoped Tl 2 Ba 2 CuO 6+δ (Tl-2201), which also reveal a single frequency, but now at F = 18 kT [14] (see Fig. 2).…”

Section: Quantum Oscillationsmentioning

confidence: 97%

Fermi surface reconstruction in high-T_csuperconductors

Taillefer

2009

J. Phys.: Condens. Matter

143

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Abstract. The recent observation of quantum oscillations in underdoped high-T c superconductors, combined with their negative Hall coefficient at low temperature, reveals that the Fermi surface of hole-doped cuprates includes a small electron pocket. This strongly suggests that the large hole Fermi surface characteristic of the overdoped regime undergoes a reconstruction caused by the onset of some order which breaks translational symmetry. Here we consider the possibility that this order is "stripe" order, a form of combined charge / spin modulation observed most clearly in materials like Eu-doped and Nd-doped LSCO. In these materials, the onset of stripe order coincides with major changes in transport properties, providing strong evidence that stripe order is indeed the cause of Fermi-surface reconstruction. We identify the critical doping where this reconstruction occurs and show that the temperature dependence of transport coefficients at that doping is typical of metals at a quantum critical point. We discuss how the pseudogap phase may be a fluctuating precursor of the stripeordered phase. Phase diagramThe doping phase diagram of hole-doped cuprates is sketched in Fig. 1a. With increased doping p, the materials go from being antiferromagnetic insulators at zero doping to more or less conventional metals at high doping. The overdoped metallic state is characterized by a single large hole Fermi surface whose volume contains 1 + p holes per Cu atom, as determined by angle-dependent magnetoresistance (ADMR) [1] and angle-resolved photoemission spectroscopy (ARPES) [2]. The lowtemperature Hall coefficient R H is positive and equal to V / e (1 + p) [3], as expected for a single-band metal with a hole density n = 1 + p. The electrical resistivity ρ(T) exhibits the standard T 2 temperature dependence of a Fermi liquid [4].At intermediate doping, between the insulator and the metal, there is a central region of superconductivity, delineated by a critical temperature T c which can rise to values of order 100 K. Above the maximal T c , near optimal doping, the normal state is a "strange metal", characterized by a resistivity which is linear in temperature instead of quadratic. In the midst of this strange-metal region, the enigmatic "pseudogap phase" sets in, below a crossover temperature T* where most physical properties undergo a smooth yet significant change [5].Elucidating the nature of the pseudogap phase is key to understanding high-temperature superconductivity. Two main scenarios have been proposed [6]: fluctuating superconductivity -a precursor to the long-range coherence which sets in below T c -versus some other ordered state. For hole-doped cuprates, a number of different types of order have been proposed, including "stripe order"

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Section: Quantum Oscillationsmentioning

confidence: 97%

Fermi surface reconstruction in high-T_csuperconductors

Taillefer

2009

J. Phys.: Condens. Matter

143

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“…It is instructive first to consider the case of overdoped Tl 2 Ba 2 CuO 6+d [26,33], which resides at hole doping p ≈ 0.30 (relative to the half-filled antiferromagnetic insulator at p = 0) on the far right of the hole-doped region of the phase diagram in figure 2. The high-frequency oscillations with frequency F ≈ 18 100 T correspond to a particle number ≈1.30 = 1 + p holes per layer, consistent with band-structure calculations and other experiments.…”

Section: (A) Orbital Quantizationmentioning

confidence: 99%

Quantum oscillations in the high- T _c cuprates

Sebastian

Harrison

Lonzarich

2011

Phil. Trans. R. Soc. A.

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We review recent progress in the study of quantum oscillations as a tool for uniquely probing low-energy electronic excitations in high-T c cuprate superconductors. Quantum oscillations in the underdoped cuprates reveal that a close correspondence with Landau Fermi-liquid behaviour persists in the accessed regions of the phase diagram, where small pockets are observed. Quantum oscillation results are viewed in the context of momentum-resolved probes such as photoemission, and evidence examined from complementary experiments for potential explanations for the transformation from a large Fermi surface into small sections. Indications from quantum oscillation measurements of a low-energy Fermi surface instability at low dopings under the superconducting dome at the metal-insulator transition are reviewed, and potential implications for enhanced superconducting temperatures are discussed.

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confidence: 99%

“…Moreover, below a compound specific doping level, the low-temperature resistivity for both types of cuprates develops a logarithmic upturn that appears to be related to disorder, yet whose microscopic origin has remained unknown [1,[5][6][7]. In contrast, at high dopant concentrations, the cuprates are good metals with welldefined Fermi surfaces and clear evidence for Fermi-liquid (FL) behavior [8][9][10][11][12][13][14].In a new development, the hole-doped cuprates were found to exhibit FL properties in an extended temperature range below the characteristic temperature T * * (T * * < T * ; T * is the PG temperature): (i) the resistivity per CuO 2 sheet exhibits a universal, quadratic temperature dependence, and is inversely proportional to the doped carrier density p, ρ ∝ T 2 /p [15]; (ii) Kohler's rule for the magnetoresistvity, the characteristic of a conventional metal with a single relaxation rate, is obeyed, with a Fermi-liquid scattering rate, 1/τ ∝ T 2 [16]; (iii) the optical scattering rate exhibits the quadratic frequency dependence and the temperature-frequency scaling expected for a Fermi liquid [17]. In this part of the phase diagram, the Hall coefficient is known to be approximately independent of temperature and to take on a value that corresponds to p, R H ∝ 1/p [18].…”

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Hidden Fermi-liquid Charge Transport in the Antiferromagnetic Phase of the Electron-Doped Cuprate Superconductors

Tabiś

et al. 2016

Phys. Rev. Lett.

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Systematic analysis of the planar resistivity, Hall effect and cotangent of the Hall angle for the electron-doped cuprates reveals underlying Fermi-liquid behavior even deep in the antiferromagnetic part of the phase diagram. The transport scattering rate exhibits a quadratic temperature dependence, and is nearly independent of doping, compound and carrier type (electrons vs. holes), and hence universal. Our analysis moreover indicates that the material-specific resistivity upturn at low temperatures and low doping has the same origin in both electron-and hole-doped cuprates.The cuprates feature a complex phase diagram that is asymmetric upon electron-versus hole-doping [1] and plagued by compound-specific features associated with different types of disorder and crystal structures [2], often rendering it difficult to discern universal from nonuniversal properties. What is known for certain is that the parent compounds are antiferromagnetic (AF) insulators, that AF correlations are more robust against doping with electrons than with holes [3,4], and that pseudogap (PG) phenomena, seemingly unusual charge transport behavior, and d-wave superconductivity appear upon doping the quintessential CuO 2 planes [1]. The nature of the metallic state that emerges upon doping the insulating parent compounds has remained a central open question. Moreover, below a compound specific doping level, the low-temperature resistivity for both types of cuprates develops a logarithmic upturn that appears to be related to disorder, yet whose microscopic origin has remained unknown [1,[5][6][7]. In contrast, at high dopant concentrations, the cuprates are good metals with welldefined Fermi surfaces and clear evidence for Fermi-liquid (FL) behavior [8][9][10][11][12][13][14].In a new development, the hole-doped cuprates were found to exhibit FL properties in an extended temperature range below the characteristic temperature T * * (T * * < T * ; T * is the PG temperature): (i) the resistivity per CuO 2 sheet exhibits a universal, quadratic temperature dependence, and is inversely proportional to the doped carrier density p, ρ ∝ T 2 /p [15]; (ii) Kohler's rule for the magnetoresistvity, the characteristic of a conventional metal with a single relaxation rate, is obeyed, with a Fermi-liquid scattering rate, 1/τ ∝ T 2 [16]; (iii) the optical scattering rate exhibits the quadratic frequency dependence and the temperature-frequency scaling expected for a Fermi liquid [17]. In this part of the phase diagram, the Hall coefficient is known to be approximately independent of temperature and to take on a value that corresponds to p, R H ∝ 1/p [18]. In order to explore the possible connection among the different regions of the phase diagram, an important quantity to consider is the cotangent of the Hall angle, cot(θ H ) = ρ/(HR H ). For simple metals, this quantity is proportional to the transport scattering rate, cot(θ H ) ∝ m * /τ (H the magnetic field, and m * the effective mass). It has long been known that cot(θ H ) ∝ T 2 in the "strange-metal" ...

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Quantum oscillations in an overdoped high-Tc superconductor

Cited by 289 publications

References 29 publications

Fermi surface reconstruction in high-T_csuperconductors

Fermi surface reconstruction in high-T_csuperconductors

Quantum oscillations in the high- T _c cuprates

Hidden Fermi-liquid Charge Transport in the Antiferromagnetic Phase of the Electron-Doped Cuprate Superconductors

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Quantum oscillations in an overdoped high-Tc superconductor

Cited by 289 publications

References 29 publications

Fermi surface reconstruction in high-Tcsuperconductors

Fermi surface reconstruction in high-Tcsuperconductors

Quantum oscillations in the high- T c cuprates

Hidden Fermi-liquid Charge Transport in the Antiferromagnetic Phase of the Electron-Doped Cuprate Superconductors

Contact Info

Product

Resources

About

Fermi surface reconstruction in high-T_csuperconductors

Fermi surface reconstruction in high-T_csuperconductors

Quantum oscillations in the high- T _c cuprates