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.

Department Chemie Physikalische Chemie University of Munich D 81377 Munich Germany

Department of Earth and Environmental Sciences LMU Munich Theresienstrasse 41 80333 Munich Germany

Department of Physics Rutgers University Piscataway New Jersey 08854 USA

Extreme Materials Initiative Geophysical Laboratory Carnegie Institution for Science Washington D C 20015 1305 USA

School of Science Xi'an Jiaotong University Xi'an Shaanxi 710049 China

University of West Bohemia New Technologies Research Centre Pilsen Czech Republic

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