Similarity of Scattering Rates in Metals Showing
            <i>T</i>
            -Linear Resistivity

Bruin, J. A. N.; Sakai, Hideaki; Perry, Robin; Mackenzie, A. P.

doi:10.1126/science.1227612

Cited by 415 publications

(669 citation statements)

References 64 publications

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“…Recent experimental observations showing that a wide range of strange metals in the linear-in-temperature resistivity regime present an equilibration rate of this kind [1] strongly supports the idea that a unified framework might capture the properties of these strongly interacting materials.…”

Section: Jhep07(2015)102mentioning

confidence: 79%

“…One of the best known examples is the linear-in-temperature resistivity regime shared by many apparently very different materials like cuprates, heavy fermions, pnictides, ruthenates and fullurenes [1]. In recent times, a great effort has been put into characterizing the universal behavior of these materials by determining bounds on appropriate physical quantities.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Bounds on charge and heat diffusivities in momentum dissipating holography

Amoretti

Braggio

Magnoli

et al. 2015

J. High Energ. Phys.

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Inspired by a recently conjectured universal bound for thermo-electric diffusion constants in quantum critical, strongly coupled systems and relying on holographic analytical computations, we investigate the possibility of formulating Planckian bounds in different holographic models featuring momentum dissipation. For a certain family of solutions to a simple massive gravity dilaton model at zero charge density we find linear in temperature resistivity and entropy density alongside a constant electric susceptibility. In addition we explicitly find that the sum of the thermo-electric diffusion constants is bounded.

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Section: Jhep07(2015)102mentioning

confidence: 79%

Section: Introductionmentioning

confidence: 99%

Bounds on charge and heat diffusivities in momentum dissipating holography

Amoretti

Braggio

Magnoli

et al. 2015

J. High Energ. Phys.

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“…This state results in a unique type of heat transport carried by an incoherent composite fluid, which we dub the electron-phonon soup, characterized by an effective velocity vs < vB < vF . We suggest that such behavior is ubiquitous in strongly interacting complex systems at high temperatures and thus, propose that it may explain much of the anomalous transport in "bad metallic" systems [e.g., cataloged by Bruin et al (17) and discussed in terms of spectral weight transfer in refs. 3, 4, and 59].…”

Section: Significancementioning

confidence: 99%

Anomalous thermal diffusivity in underdoped YBa ₂ Cu ₃ O _6+x

Zhang

Levenson-Falk

Ramshaw

et al. 2017

Proc. Natl. Acad. Sci. U.S.A.

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The thermal diffusivity in the ab plane of underdoped YBCO crystals is measured by means of a local optical technique in the temperature range of 25-300 K. The phase delay between a point heat source and a set of detection points around it allows for high-resolution measurement of the thermal diffusivity and its in-plane anisotropy. Although the magnitude of the diffusivity may suggest that it originates from phonons, its anisotropy is comparable with reported values of the electrical resistivity anisotropy. Furthermore, the anisotropy drops sharply below the charge order transition, again similar to the electrical resistivity anisotropy. Both of these observations suggest that the thermal diffusivity has pronounced electronic as well as phononic character. At the same time, the small electrical and thermal conductivities at high temperatures imply that neither well-defined electron nor phonon quasiparticles are present in this material. We interpret our results through a strongly interacting incoherent electron-phonon "soup" picture characterized by a diffusion constant D ∼ v 2 B τ , where v B is the soup velocity, and scattering of both electrons and phonons saturates a quantum thermal relaxation time τ ∼ /k B T.thermal diffusivity | bad metals | electron-phonon T he standard paradigm for transport in metals relies on the existence of quasiparticles. Electronic quasiparticles conduct electricity and heat. Phonon quasiparticles, the collective excitations of the elastic solid (here, we discuss acoustic phonons) also conduct heat. Transport coefficients, such as electrical and thermal conductivities, can then be calculated using, for example, Boltzmann equations (1). However, such an approach fails when the quasiparticle mean free paths become comparable with the quasiparticle wavelength. For electrons, it is the Fermi wavelength (2-4), whereas for phonons, it is the larger of the interatomic distance or minimum excited phonon wavelength (5, 6). Understanding transport in nonquasiparticle regimes requires a new framework and has become a subject of intense theoretical effort in recent years, triggering an urgent need for experimental results that can shed light on such regimes. In particular, in ref. 7, the diffusivity was singled out as a key observable for incoherent nonquasiparticle transport, possibly subject to fundamental quantum mechanical bounds.In this work, we report high-resolution measurements of the thermal diffusivity of single-crystal underdoped YBCO6.60 (an ortho-II YBa2Cu3O6.60) and YBCO6.75 (an ortho-III YBa2Cu3O6.75). We are particularly interested in the anisotropy of the thermal diffusivity as measured along the principal axes a and b (which is the chain direction) in the temperature range 25-300 K. We use a noncontact optical microscope (see Fig. S1) to perform local thermal transport measurements on the scale of ∼10 µm, hence avoiding inhomogeneities, particularly twinning and grain boundary effects. Our principal experimental results are as follows. (i) The measured thermal diffusivity is...

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“…Recently, this time scale has been observed in the scattering rates of materials showing a linear T resistivity [13] and in the thermal diffusivity [14].…”

Section: Jhep06(2017)030mentioning

confidence: 99%

“…It has been shown that the Lyapunov exponent is bounded by the temperature 13) and saturates to the bound 2π/τ P for thermal systems that have a dual holographic black hole description of which near horizon geometry is described by Einstein gravity. Notice that the Planckian time scale appears as a time scale of the growth of chaos in time.…”

Section: Jhep06(2017)030mentioning

confidence: 99%

Diffusion and butterfly velocity at finite density

Niu

Kim

2017

J. High Energ. Phys.

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Abstract:We study diffusion and butterfly velocity (v B ) in two holographic models, linear axion and axion-dilaton model, with a momentum relaxation parameter (β) at finite density or chemical potential (µ). Axion-dilaton model is particularly interesting since it shows linear-T -resistivity, which may have something to do with the universal bound of diffusion. At finite density, there are two diffusion constants D ± describing the coupled diffusion of charge and energy. By computing D ± exactly, we find that in the incoherent regime (β/T 1, β/µ 1) D + is identified with the charge diffusion constant (D c ) and D − is identified with the energy diffusion constant (D e ). In the coherent regime, at very small density, D ± are 'maximally' mixed in the sense that D + (D − ) is identified with D e (D c ), which is opposite to the case in the incoherent regime. In the incoherent regime D e ∼ C − v 2 B /k B T where C − = 1/2 or 1 so it is universal independently of β and µ. However, D c ∼ C + v 2 B /k B T where C + = 1 or β 2 /16π 2 T 2 so, in general, C + may not saturate to the lower bound in the incoherent regime, which suggests that the characteristic velocity for charge diffusion may not be the butterfly velocity. We find that the finite density does not affect the diffusion property at zero density in the incoherent regime.

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Similarity of Scattering Rates in Metals Showing T -Linear Resistivity

Cited by 415 publications

References 64 publications

Bounds on charge and heat diffusivities in momentum dissipating holography

Bounds on charge and heat diffusivities in momentum dissipating holography

Anomalous thermal diffusivity in underdoped YBa ₂ Cu ₃ O _6+x

Diffusion and butterfly velocity at finite density

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Similarity of Scattering Rates in Metals Showing T -Linear Resistivity

Cited by 415 publications

References 64 publications

Bounds on charge and heat diffusivities in momentum dissipating holography

Bounds on charge and heat diffusivities in momentum dissipating holography

Anomalous thermal diffusivity in underdoped YBa 2 Cu 3 O 6+x

Diffusion and butterfly velocity at finite density

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Anomalous thermal diffusivity in underdoped YBa ₂ Cu ₃ O _6+x