Spin correlations in the electron-doped high-transition-temperature superconductor Nd2-xCexCuO4±δ

Motoyama, E. M.; Yu, Guichuan; Vishik, Inna; Vajk, O. P.; Mang, P. K.; Greven, M.

doi:10.1038/nature05437

Cited by 235 publications

(325 citation statements)

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“…Also, in the electrondoped cuprates, the value of x s has been quite precisely identified [18] -the high field quantum oscillation experiments we noted above [14] were done on the same material, and indeed found as x m > x s .…”

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confidence: 59%

Quantum criticality and the phase diagram of the cuprates

Sachdev

2010

Physica C: Superconductivity and its Applications

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I discuss a proposed phase diagram of the cuprate superconductors as a function of temperature, carrier concentration, and a strong magnetic field perpendicular to the layers. I show how the phase diagram gives a unified interpretation of a number of recent experiments. Superconductivity, Tokyo, Sep 7-12, 2009 Keynote talk, 9th International Conference on Materials and Mechanisms of H c2Figure 1: Proposed phase diagram of the cuprates showing the interplay between superconductivity (SC), spin density wave (SDW) order, and Fermi surface configuration as a function of carrier density (x), temperature (T ), and magnetic field (H) perpendicular to the layers. Full lines are thermal or quantum phase transitions, dashed lines are crossovers, and dotted lines are guides to the eye. The phase transitions associated with valence bond solid (VBS) (or "charge") and nematic order are not shown. The superconducting regions are colored pink. We have assumed the absence of interlayer coupling, and so the SDW order is long-ranged only at T = 0: it is present in the regions labeled "SDW" and on the thick orange line for x < x s . In the blue normal regions, the 'pseudogap' is between T c and T * , the 'Strange Metal' has an in-plane resistivity which is measured to be linear in T , and the "Large Fermi surface" has a conventional T 2 resistivity.This brief note contains a summary of the key aspects of the proposed phase diagram of the cuprate superconductors shown in Fig. 1, and the central role played by ideas of quantum criticality. A more detailed discussion can be found in another recent review by the author [1], which also contains more complete citations to the literature. Here, I will focus on the central physical ideas and highlight support from recent experiments.The phase transitions and crossovers in Fig. 1 appear quite intricate. However, they can be understood simply by focusing first on the quantum critical point (QCP) at doping density, x = x m , temperature T = 0, magnetic field H = 0. As indicated in Fig. 1, this quantum critical point is pre-empted by the onset of superconductivity.The QCP at x = x m is a transition between two metallic (hence the subscript m) Fermi liquid phases. At x > x m we have the full symmetry of the square lattice, and a "large" Fermi surface metal consisting of a hole-like Fermi surface enclosing the area 1 + x expected from the Luttinger theorem (this is for hole doping; with electron doping, x, the area enclosed is 1 − x). At x < x m we have the onset of spin density wave (SDW) order, and this breaks apart the large Fermi surface into "small" Fermi pockets. Nevertheless the Luttinger theorem continues to be obeyed, after accounting for the large unit cell created by the SDW order. The ultimate theory of this quantum critical point is not fully understood, despite much theoretical attention [2].Strong evidence for the QCP at x = x m , and its associated T > 0 crossovers comes from recent experiments on Nd-LSCO [3,4]. They detected the crossover between "Strange Metal" and "Fl...

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supporting

confidence: 59%

Quantum criticality and the phase diagram of the cuprates

Sachdev

2010

Physica C: Superconductivity and its Applications

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“…Starting with new data for a sample of the archetypal electron-doped cuprate Nd 2−x Ce x CuO 4+δ (NCCO) that exhibits robust AF order (x = 0.10; superconductivity in NCCO appears for x ≈ 0.13 [4]), we follow the evolution of these three contributions as a function of temperature and doping for a large number of compounds: electron-doped NCCO [26,[31][32][33][34], La 2−x Y x CuO 4+δ (LYCO) [35], Pr 2−x Ce x CuO 4+δ (PCCO) [36][37][38][39], Pr 1.3−x La 0.7 Ce x CuO 4+δ (PLCCO) [28], and La 2−x Ce x CuO 4+δ (LCCO) [40], and hole-doped La 2−x Sr x CuO 4 (LSCO) [6,24], YBCO [7,24,41] and Bi 2 Sr 2−x La x Cu 2 O 8+δ (La-Bi2201) [27,29]. Representative resistivity data are shown in Fig.…”

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confidence: 99%

“…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.…”

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confidence: 99%

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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“…In this model, SDW ordering would induce a Fermi surface (FS) reconstruction and result in an evolution from an electron pocket to the coexistence of electron-and hole-like pockets with increasing doping, and eventually into a single hole-like FS. The SDW gap amplitude decreases from the underdoped side and vanishes at the critical doping.Recently, an inelastic neutron scattering measurement on Nd 2−x Ce x CuO 4−δ (NCCO) by Motoyama et al [14] found that long range ordered AFM vanishes near the SC dome boundary, x =0.13. They claim that SC and AFM do not coexist and that the QPT occurs at x =0.13, which differs from the results mentioned above.…”

mentioning

confidence: 99%

“…Recently, an inelastic neutron scattering measurement on Nd 2−x Ce x CuO 4−δ (NCCO) by Motoyama et al [14] found that long range ordered AFM vanishes near the SC dome boundary, x =0.13. They claim that SC and AFM do not coexist and that the QPT occurs at x =0.13, which differs from the results mentioned above.…”

mentioning

confidence: 99%

High-Field Hall Resistivity and Magnetoresistance of Electron-DopedPr2−xCexCuO4−δ

Balakirev

Greene

2007

Phys. Rev. Lett.

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We report resistivity and Hall effect measurements in electron-doped Pr2−xCexCuO 4−δ films in magnetic field up to 58 T. In contrast to hole-doped cuprates, we find a surprising non-linear magnetic field dependence of Hall resistivity at high field in the optimally doped and overdoped films. We also observe a crossover from quadratic to linear field dependence of the positive magnetoresistance in the overdoped films. A spin density wave induced Fermi surface reconstruction model can be used to qualitatively explain both the Hall effect and magnetoresistance.PACS numbers: 74.25. Fy, 71.10.Hf, 73.43.Nq, Electron-doped (n-doped) cuprate superconductors have exhibited enough similarities with their hole-doped (p-doped) high-T c counterparts so that any eventual rationalization of the phenomenon of high temperature superconductivity (SC) would have to treat both poles of the doping spectrum in the similar manner. Some of the key phenomena realized in both types of high-T c compounds, such as the competition between antiferromagnetism(AFM) and SC or the anomalous temperature dependence of the transport coefficients, pose challenging questions for the condensed matter physics. Meanwhile, a number of studies in the past years have identified distinct differences in the properties of n-doped and p-doped cuprates. Understanding the causes of the differences and similarities may lead to understanding of the phenomenon of high temperature superconductivity. Among the distinctive properties, angle resolved photoemission spectroscopy (ARPES) experiments [1, 2, 3] in n-doped cuprates have revealed a small electron-like Fermi surface (FS) pocket at (π, 0) in the underdoped region, and a simultaneous presence of both electron-and hole-like pockets near optimal doping. This clarifies the longstanding puzzle that transport in these materials exhibits unambiguous n-type carrier behavior at low-doping, and two-carrier behavior near optimal doping [4,5,6,7]. Recent low temperature normal state Hall effect measurements [8] on Pr 2−x Ce x CuO 4−δ (PCCO) show a sharp kink of the Hall coefficient at a critical doping x =0.16, which suggests a quantum phase transition (QPT) at this doping. Early µSR measurements found that the AFM phase starts at x =0 and persists up to, or into, the SC dome [9]. Neutron scattering experiments [10] show an AFM phase above critical field in an optimally doped n-type cuprates, but no such phase on the overdoped side. Optical conductivity experiments [11] reveal a partial normal state gap opening at a certain temperature in the underdoped region, but no such gap is found above the critical doping. A spin density wave (SDW) model [12,13] was proposed, which gives a plausible, but qualitative, explanation to these observations. In this model, SDW ordering would induce a Fermi surface (FS) reconstruction and result in an evolution from an electron pocket to the coexistence of electron-and hole-like pockets with increasing doping, and eventually into a single hole-like FS. The SDW gap amplitude decreases from th...

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Spin correlations in the electron-doped high-transition-temperature superconductor Nd2-xCexCuO4±δ

Cited by 235 publications

References 24 publications

Quantum criticality and the phase diagram of the cuprates

Quantum criticality and the phase diagram of the cuprates

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

High-Field Hall Resistivity and Magnetoresistance of Electron-DopedPr2−xCexCuO4−δ

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