Dichotomy in the
            <i>T</i>
            -linear resistivity in hole-doped cuprates

Hussey, N. E.; Cooper, R.; Xu, Xiaofeng; Wang, Y.; Mouzopoulou, I.; Vignolle, Baptiste; Proust, Cyril

doi:10.1098/rsta.2010.0196

Cited by 80 publications

(98 citation statements)

References 66 publications

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“…However, it is difficult to reconcile the large drop of the resistivity by a factor of two between T * and 40 mK with the modest number of minority carriers associated with this singularity. As a second possibility, we recall that the linear behavior of the resistivity is characteristic of correlated metals, such as heavy fermions in the vicinity of an AF order 35 or superconducting cuprates [36][37][38] . However, in these systems, the linear dependence extends to a much wider temperature range, whilst in the present case this dependence is rather similar to a crossover between conventional Bloch-Grüneisen regime above and low-temperature regime below T * .…”

Section: Discussionmentioning

confidence: 99%

Anomalous metallic state in quasi-two-dimensionalBaNiS2

et al. 2016

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We report on a systematic study of the thermodynamic, electronic and charge transport properties of high-quality single crystals of BaNiS 2 , the metallic end-member of the quasi-twodimensional BaCo 1−x Ni x S 2 system characterized by a metal-insulator transition at x cr = 0.22. Our analysis of magnetoresistivity and specific heat data consistently suggests a picture of compensated semimetal with two hole-and one electron-bands, where electron-phonon scattering dominates charge transport and the minority holes exhibit, below ∼100 K, a very large mobility, µ h ∼ 15000 cm 2 V −1 s −1 , which is explained by a Dirac-like band. Evidence of unconventional metallic properties is given by an intriguing crossover of the resistivity from a Bloch-Grüneisen regime to a linear−T regime occurring at 2 K and by a strong linear term in the paramagnetic susceptibility above 100 K.We discuss the possibility that these anomalies reflect a departure from conventional Fermi-liquid properties in presence of short-range AF fluctuations and of a large Hund coupling.

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Section: Discussionmentioning

confidence: 99%

Anomalous metallic state in quasi-two-dimensionalBaNiS2

et al. 2016

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“…The precise location of the critical hole doping concentration p crit at which the cuprate pseudogap closes has long been a controversial issue, although there is now a large body of evidence from bulk physical measurements that T * and the pseudogap energy scale do not extend into the heavily overdoped region of the phase diagram but rather collapse at a well-defined critical concentration around p crit = 0.19 ± 0.01, irrespective of the cuprate system 11 . Beyond x = 0.19, a new temperature scale T coh appears in the phase diagram, again associated with the recovery of T -linear resistivity at high temperatures 26 , but this time corresponding to the loss of quasiparticle coherence, predominantly for states with momenta near the zone boundary 27 . The crucial distinction between T * and T coh in LSCO is the doping dependence; whereas T * decreases with increasing x, T coh shows the opposite trend.…”

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“…Note that in LSCO, T * and T 2 are easily distinguished by in-plane resistivity data as they are identified respectively by a downturn and an upturn in dρ ab /dT (ref. 26). The ubiquity of phase-fluctuating superconductivity and the coincidence between T 2 , as determined by dρ ab /dT , and the vanishing of H 2 (T ), as determined by the high-field magnetoresistance, imply that one might now be able to identify the phase fluctuation regime in any cuprate system (at or beyond optimal doping) simply by taking the first (or second) derivative of the zero-field resistivity curve.…”

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Phase-fluctuating superconductivity in overdoped La2−xSrxCuO4

Rourke

Mouzopoulou

et al. 2011

Nature Phys

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In underdoped cuprate superconductors, phase stiffness is low and long-range superconducting order is destroyed readily by thermally generated vortices (and anti-vortices), giving rise to a broad temperature regime above the zero-resistive state in which the superconducting phase is incoherent 1-4 . It has often been suggested that these vortex-like excitations are related to the normal-state pseudogap or some interaction between the pseudogap state and the superconducting state 5-10 . However, to elucidate the precise relationship between the pseudogap and superconductivity, it is important to establish whether this broad phase-fluctuation regime vanishes, along with the pseudogap 11 , in the slightly overdoped region of the phase diagram where the superfluid pair density and correlation energy are both maximal 12 . Here we show, by tracking the restoration of the normal-state magnetoresistance in overdoped La 2−x Sr x CuO 4 , that the phase-fluctuation regime remains broad across the entire superconducting composition range. The universal low phase stiffness is shown to be correlated with a low superfluid density 1 , a characteristic of both underdoped and overdoped cuprates 12-14 . The formation of the pseudogap, by inference, is therefore both independent of and distinct from superconductivity.In underdoped cuprates, an energy gap (pseudogap), of as yet unknown origin, appears in the electronic density of states well before superconductivity develops. The continuous evolution 6 of the pseudogap into the superconducting gap, combined with similarities in their gap magnitudes and symmetries 5 , has led to suggestions that the pseudogap is a precursor superconducting state 7-10 characterized by a broad temperature region over which the superconducting order parameter is finite but the phase fluctuates 3,4 . This picture of precursor pairing remains controversial however and is challenged by measurements indicating that the pseudogap itself closes at a critical doping concentration 11 , slightly beyond optimal doping, where superconductivity is most robust 12 . As it stands, there have been very few studies to date of the fluctuating superconductivity in overdoped, superconducting cuprates to establish the precise relationship between the pseudogap and phase fluctuation regimes.To address this, we focus here on the evolution of the upper critical field H c2 with temperature, as inferred by measurements of the in-plane resistivity ρ ab (T ,H ) in pulsed and d.c. magnetic fields. Previous transport studies in cuprates identified H c2 (T ) with the 'knee' at or near the top of the ρ ab (T ) curve or the temperature at which ρ ab (H ) attained a certain fraction of the normal-state value 15 . Either technique would lead to a H c2 (T ) line with a markedly different shape from that determined by the Nernst effect, for example. In this study, we adopt an alternative approach 16,17 , using the evolution of the transverse magnetoresistance ρ ab (H )(= ρ ab (H )− ρ ab (0) with H c) with temperature, field and doping, as ...

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“…As one possible manifestation of quantum criticality, the resistivity ρ(T ) of optimally-doped cuprates, Fe-pnictides, heavy-fermion compounds, and other materials exhibits a linear-in-T behavior over a wide range of temperatures [1][2][3] instead of the T 2 behavior, expected for a Fermi liquid (FL) with umklapp scattering 4 . Another type of the non-FL (NFL) behavior, ρ(T ) ∝ T b with b ≈ 3/2, has been observed near the end point of the superconducting phase in the hole-and electron-doped cuprates, 5,6 whereas ρ(T ) ∝ T c with c ≈ 5/3 has been observed near ferromagnetic criticality in a number of three-dimensional itinerant ferromagnets.…”

Section: Introductionmentioning

confidence: 99%

Optical conductivity of a two-dimensional metal at the onset of spin-density-wave order

2014

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We consider the optical conductivity of a clean two-dimensional metal near a quantum spindensity-wave transition. Critical magnetic fluctuations are known to destroy fermionic coherence at "hot spots" of the Fermi surface but coherent quasiparticles survive in the rest of the Fermi surface. A large part of the Fermi surface is not really "cold" but rather "lukewarm" in a sense that coherent quasiparticles in that part survive but are strongly renormalized compared to the non-interacting case. We discuss the self-energy of lukewarm fermions and their contribution to the optical conductivity, σ(Ω), focusing specifically on scattering off composite bosons made of two critical magnetic fluctuations. Recent study [S.A. Hartnoll et al., Phys. Rev. B 84, 125115 (2011)] found that composite scattering gives the strongest contribution to the self-energy of lukewarm fermions and suggested that this may give rise to a nonFermi liquid behavior of the optical conductivity at the lowest frequencies. We show that the most singular term in the conductivity coming from self-energy insertions into the conductivity bubble, σ (Ω) ∝ ln 3 Ω/Ω 1/3 , is canceled out by the vertex-correction and Aslamazov-Larkin diagrams. However, the cancelation does not hold beyond logarithmic accuracy, and the remaining conductivity still diverges as 1/Ω 1/3 . We further argue that the 1/Ω 1/3 behavior holds only at asymptotically low frequencies, well inside the frequency range affected by superconductivity. At larger Ω, up to frequencies above the Fermi energy, σ (Ω) scales as 1/Ω, which is reminiscent of the behavior observed in the superconducting cuprates.

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Dichotomy in the T -linear resistivity in hole-doped cuprates

Cited by 80 publications

References 66 publications

Anomalous metallic state in quasi-two-dimensionalBaNiS2

Anomalous metallic state in quasi-two-dimensionalBaNiS2

Phase-fluctuating superconductivity in overdoped La2−xSrxCuO4

Optical conductivity of a two-dimensional metal at the onset of spin-density-wave order

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