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Nakamae, Sawako; Behnia, Kamran; Mangkorntong, N.; Nohara, M.; Takagi, H.; Yates, S. J. C.; Hussey, N. E.

doi:10.1103/physrevb.68.100502

Cited by 157 publications

(113 citation statements)

References 19 publications

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“…The observed form and anisotropy place tight constraints on theories of the metallic state. Moreover, in heavily doped non-superconducting La 2−x Sr x CuO 4 , this anisotropic scattering term is absent 12 , suggesting an intimate connection between the origin of this scattering and superconductivity itself.…”

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confidence: 99%

“…At T = 55 K, for example, (k) varies by a factor of two around the in-plane FS. Significantly, in non-superconducting cuprates, ρ ab (T ) ∝ T 2 at low temperatures with no evidence of a T-linear term 12,23 . This implies that the development of superconductivity (from the overdoped side) is closely correlated with the appearance of the T-linear resistivity and anisotropic inelastic scattering, a correlation that will be explored further in future studies.…”

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Anisotropic scattering and anomalous normal-state transport in a high-temperature superconductor

et al. 2006

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T he metallic state of high-temperature copper-oxide superconductors, characterized by unusual and distinct temperature dependences in the transport properties 1-4 , is markedly different from that of textbook metals. Despite intense theoretical efforts 5-11 , our limited understanding is impaired by our inability to determine experimentally the temperature and momentum dependence of the transport scattering rate. Here, we use a powerful magnetotransport probe to show that the resistivity and the Hall coefficient in highly doped Tl 2 Ba 2 CuO 6+δ originate from two distinct inelastic scattering channels. One channel is due to conventional electronelectron scattering; the other is highly anisotropic, has the same symmetry as the superconducting gap and a magnitude that grows approximately linearly with temperature. The observed form and anisotropy place tight constraints on theories of the metallic state. Moreover, in heavily doped non-superconducting La 2−x Sr x CuO 4 , this anisotropic scattering term is absent 12 , suggesting an intimate connection between the origin of this scattering and superconductivity itself.The in-plane properties of layered metals can sometimes be obtained from measurements of out-of-plane quantities. For example, angular magnetoresistance oscillations (AMRO), which are angular variations in the interlayer resistivity ρ ⊥ induced by rotating a magnetic field H in a polar plane relative to the conducting layers, can provide detailed information on the shape of the in-plane Fermi surface (FS) in layered metals. Here we resolve for the first time, the momentum (k) and energy (ω or T) dependence of the in-plane transport lifetime τ in an overdoped cuprate Tl 2 Ba 2 (Ca 0 )Cu 1 O 6+δ (Tl2201) through advances, both experimental and theoretical, in the AMRO technique. Experimentally, we extend the temperature range of previous AMRO measurements on overdoped Tl2201 13 (with a superconducting transition temperature T c = 15 K) by more than one order of magnitude. Theoretically, we derive a new general analytical expression for the interlayer conductivity σ ⊥ in a tilted H that incorporates basal-plane anisotropy. For T > 4 K, the AMRO can only be explained by inclusion of an anisotropic scattering rate 1/τ whose anisotropy grows with T. Significantly, the anisotropy in 1/τ and its T dependence up to 55 K can quantitatively account for both the robust linear-in-T component to the in-plane resistivity ρ ab and the T-dependent Hall coefficient R H over the same temperature range 14,15 . These anomalous behaviours are not characteristic of a simple Fermi liquid, which is often the starting point for modelling overdoped cuprates. We discuss the consequences of these findings for our understanding of the normal-state transport in cuprates.As described in the Supplementary Information, detailed azimuthal and polar-angle-dependent AMRO data were taken at 4.2 K and 45 T and fitted to the Shockley-Chambers tube integral form of the Boltzmann transport equation, modified for a quasitwo-dimensional (quasi...

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Anisotropic scattering and anomalous normal-state transport in a high-temperature superconductor

et al. 2006

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“…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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“…figure 4 in [84], is a serious hint that J sd in the CuO 2 plane is one of the largest exchange amplitudes in solid state physics, comparable with the uranium heavy-fermion compounds and SrVO 3 . In this sense our theory requires a large, yet acceptable J sd value, putting the cuprates among the most interesting materials with considerable exchange interaction.…”

Section: Cooper and Kondo Singlet Formationmentioning

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Superconductivity of overdoped cuprates: the modern face of the ancestral two-electron exchange

Mishonov

Indekeu

Penev

2003

J. Phys.: Condens. Matter

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Abstract. The single-site two-electron exchange amplitude J sd between the Cu 4s and Cu 3d x 2 −y 2 states is found to be the pairing mechanism of high-Tc overdoped cuprates. The noninteracting part of the Hamiltonian spans the copper Cu 4s, Cu 3d x 2 −y 2 and oxygen O 2px and O 2py states. Within the standard BCS treatment an explicit expression for the momentum dependence of the gap ∆p is derived and shown to fit the angle-resolved photoemission spectroscopy (ARPES) data. The basic thermodynamic and electrodynamic properties of the model [specific heat C(T ), London penetration depth λ(T )] are analytically derived. These are directly applicable to cuprates without complicating structural accessories (chains, double CuO 2 planes, etc.). We advocate that the pairing mechanism of overdoped and underdoped cuprates is the same, as Tc displays smooth doping dependence. Thus, a long-standing puzzle in physics is possibly solved.

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Electronic ground state of heavily overdoped nonsuperconductingLa2−xSrx
Sawako Nakamae
¹
,
Kamran Behnia
²
,
N. Mangkorntong
³

et al.

Cited by 157 publications

References 19 publications

Anisotropic scattering and anomalous normal-state transport in a high-temperature superconductor

Anisotropic scattering and anomalous normal-state transport in a high-temperature superconductor

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

Superconductivity of overdoped cuprates: the modern face of the ancestral two-electron exchange

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Electronic ground state of heavily overdoped nonsuperconductingLa2−xSrxSawako Nakamae1, Kamran Behnia2, N. Mangkorntong3 et al.

Cited by 157 publications

References 19 publications

Anisotropic scattering and anomalous normal-state transport in a high-temperature superconductor

Anisotropic scattering and anomalous normal-state transport in a high-temperature superconductor

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

Superconductivity of overdoped cuprates: the modern face of the ancestral two-electron exchange

Contact Info

Product

Resources

About

Electronic ground state of heavily overdoped nonsuperconductingLa2−xSrx
Sawako Nakamae
¹
,
Kamran Behnia
²
,
N. Mangkorntong
³

et al.