Thermal diffusivity above the Mott-Ioffe-Regel limit

Zhang, Jiecheng; Kountz, Erik D.; Levenson-Falk, E. M.; Song, Dongjoon; Greene, R. L.; Kapitulnik, A.

doi:10.1103/physrevb.100.241114

Cited by 31 publications

(44 citation statements)

References 40 publications

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“…2. Table 2 is a summary of results for a few materials reported in that study (21). The most important feature in Table 2 is that vE v ph by roughly a factor of two, which translates to a factor of four in the diffusivity slope (although, as discussed above, the difference can be larger if s is closer to unity).…”

Section: Table 1 Thermal Diffusivity Parameters For Complex Insulatomentioning

confidence: 93%

“…was interpreted as the residual electron diffusivity contribution at the MIR limit (21). The presence of electrons must imply that either s, or the velocity, or both need to be modified to include the electrons.…”

Section: Table 1 Thermal Diffusivity Parameters For Complex Insulatomentioning

confidence: 99%

“…Diffusivities of insulating LaAlO3, YAlO3 and NdGaO3 are calculated from (24,52). Diffusivities of complex 'bad metals' are taken from earlier publications: Bi-2212, SCCO and NCCO (21), and YBCO (19).…”

Section: Table 1 Thermal Diffusivity Parameters For Complex Insulatomentioning

confidence: 99%

“…In the presence of itinerant electrons, such as in the aforementioned strongly correlated systems, we can discuss separately the issue of charge transport and its relation to the MIR limit. For the strongly correlated hole or electron doped cuprates studied by Zhang et al (19,21), it was argued that both, charge and lattice degrees of freedom are strongly scattered, hence the scattering rate is pushed to the Planckian bound (56). Applying a temperature gradient to the sample, that system of electrons and phonons react together, and heat is flowing as an overdamped diffusing 'soup' of phonons and electrons.…”

Section: Charge Diffusivity and Resistivitymentioning

confidence: 99%

“…Assuming that chaos description applies and since thermal equilibrium is approached through energy eigenstate thermalization (17,18), it suggests that energy diffusion can be related to chaos diffusion through the characteristic relaxation time and velocity. This could be achieved through the study of thermal diffusivity, especially if the velocity and scattering time could be determined independently (19)(20)(21).…”

Section: Introductionmentioning

confidence: 99%

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Thermalization and possible signatures of quantum chaos in complex crystalline materials

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Kountz

Behnia

et al. 2019

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

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Analyses of thermal diffusivity data on complex insulators and on strongly correlated electron systems hosted in similar complex crystal structures suggest that quantum chaos is a good description for thermalization processes in these systems, particularly in the high temperature regime where the many phonon bands and their interactions dominate the thermal transport. Here we observe that for these systems diffusive thermal transport is controlled by a universal Planckian time scale τ ∼ /k B T , and a unique velocity v E . Specifically, v E ≈ v ph for complex insulators, and v ph v E v F in the presence of strongly correlated itinerant electrons (v ph and v F are the phonons and electrons velocities respectively). For the complex correlated electron systems we further show that charge diffusivity, while also reaching the Planckian relaxation bound, is largely dominated by the Fermi velocity of the electrons, hence suggesting that it is only the thermal (energy) diffusivity that describes chaos diffusivity.Quantum Chaos | Thermalization | Thermal diffusivity | Phonons

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Section: Table 1 Thermal Diffusivity Parameters For Complex Insulatomentioning

confidence: 93%

Section: Table 1 Thermal Diffusivity Parameters For Complex Insulatomentioning

confidence: 99%

Section: Table 1 Thermal Diffusivity Parameters For Complex Insulatomentioning

confidence: 99%

Section: Charge Diffusivity and Resistivitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Thermalization and possible signatures of quantum chaos in complex crystalline materials

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Behnia

et al. 2019

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

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Coulomb effects in electronic transport

Narozhny

2023

Contrib. Plasma Phys

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Charge transport in metals and semiconductors is often dominated by electron‐impurity and electron–phonon scattering. Coulomb effects could be found in small corrections to the leading behavior, drag effects in specially fabricated samples, compensated semimetals, and hydrodynamic phenomena in ultra‐pure materials. In contrast, electrical resistivity in strongly correlated systems is poorly understood. Understanding the fate of electron–phonon scattering in these materials may offer a route towards future advancements.

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Insights into Low Thermal Conductivity in Inorganic Materials for Thermoelectrics

et al. 2022

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Efficient manipulation of thermal conductivity and fundamental understanding of the microscopic mechanisms of phonon scattering in crystalline solids are crucial to achieve high thermoelectric performance. Thermoelectric energy conversion directly and reversibly converts between heat and electricity and is a promising renewable technology to generate electricity by recovering waste heat and improve solid-state refrigeration. However, a unique challenge in thermal transport needs to be addressed to achieve high thermoelectric performance: the requirement of crystalline materials with ultralow lattice thermal conductivity (κ L ). A plethora of strategies have been developed to lower κ L in crystalline solids by means of nanostructural modifications, introduction of intrinsic or extrinsic phonon scattering centers with tailored shape and dimension, and manipulation of defects and disorder. Recently, intrinsic local lattice distortion and lattice anharmonicity originating from various mechanisms such as rattling, bonding heterogeneity, and ferroelectric instability have found popularity. In this Perspective, we outline the role of manipulation of chemical bonding and structural chemistry on thermal transport in various high-performance thermoelectric materials. We first briefly outline the fundamental aspects of κ L and discuss the current status of the popular phonon scattering mechanisms in brief. Then we discuss emerging new ideas with examples of crystal structure and lattice dynamics in exemplary materials. Finally, we present an outlook for focus areas of experimental and theoretical challenges, possible new directions, and integrations of novel techniques to achieve low κ L in order to realize high-performance thermoelectric materials.

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Thermal diffusivity above the Mott-Ioffe-Regel limit

Cited by 31 publications

References 40 publications

Thermalization and possible signatures of quantum chaos in complex crystalline materials

Thermalization and possible signatures of quantum chaos in complex crystalline materials

Coulomb effects in electronic transport

Insights into Low Thermal Conductivity in Inorganic Materials for Thermoelectrics

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