Transport properties in correlated systems: An analytical model

Rizzo, Francesco; Cappelluti, E.; Pietronero, L.

doi:10.1103/physrevb.72.155113

Cited by 6 publications

(3 citation statements)

References 22 publications

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“…Matthiessen's rule is expected to be broken when in the saturation region when the resistivity approaches the Ioffe-Regel limit, because there is essentially a minimum mean free path -the nearest-neighbor distance [39]. Previous studies [40,41] have shown that, for strongly-correlated systems, resistivity can far exceed the Ioffe-Regel limit, corresponding to a very short mean free path. Therefore, when e-ph and e-e scattering contributions are comparable to each other, it may be suitable to consider saturation effects only on the e-ph part and apply Matthiessen's rule after having considered saturation.…”

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confidence: 99%

Thermal Conductivity and Electrical Resistivity of Solid Iron at Earth’s Core Conditions from First Principles

Zhang

Haule

et al. 2018

Phys. Rev. Lett.

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We compute the thermal conductivity and electrical resistivity of solid hcp Fe to pressures and temperatures of Earth's core. We find significant contributions from electron-electron scattering, usually neglected at high temperatures in transition metals. Our calculations show a quasilinear relation between the electrical resistivity and temperature for hcp Fe at extreme high pressures. We obtain thermal and electrical conductivities that are consistent with experiments considering reasonable error. The predicted thermal conductivity is reduced from previous estimates that neglect electron-electron scattering. Our estimated thermal conductivity for the outer core is 77±10 W m^{-1} K^{-1} and is consistent with a geodynamo driven by thermal convection.

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confidence: 99%

Thermal Conductivity and Electrical Resistivity of Solid Iron at Earth’s Core Conditions from First Principles

Zhang

Haule

et al. 2018

Phys. Rev. Lett.

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“…S7 and discussion in Supplemental Material [18], which includes Refs. [48][49][50][51][52][53][54]). Neither the present calculations, nor those in Ref.…”

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confidence: 99%

Reconciliation of Experiments and Theory on Transport Properties of Iron and the Geodynamo

et al. 2020

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We measure the electrical resistivity of hcp iron up to ∼170 GPa and ∼3000 K using a four-probe van der Pauw method coupled with homogeneous flattop laser heating in a DAC, and compute its electrical and thermal conductivity by first-principles molecular dynamics including electron-phonon and electronelectron scattering. We find that the measured resistivity of hcp iron increases almost linearly with temperature, and is consistent with our computations. The results constrain the resistivity and thermal conductivity of hcp iron to ∼80 AE 5 μΩ cm and ∼100 AE 10 Wm −1 K −1 , respectively, at conditions near the core-mantle boundary. Our results indicate an adiabatic heat flow of ∼10 AE 1 TW out of the core, supporting a present-day geodynamo driven by thermal and compositional convection.

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“…Specific long-range correlation in complex systems are 936 the object of active research due to its implications in the 937 technology of materials and in several fields of scientific 938 knowledge with the use of quantified histograms [78], de-939 crease of chaos in heart failure [85], scaling properties 940 of ECG's signals fluctuations [87] , transport properties in 941 correlated systems [88] etc.…”

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confidence: 99%