Two-component Fermi-liquid theory: Transport properties of liquid metallic hydrogen

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Abstract
We examine the elementary transport properties of a two-charged-component normal Fermi liquid using a generalized Landau-Silin-Boltzmann-equation approach. "Exact" expressions involving the phenomenologically treated quasiparticle scattering amplitudes are given for the low-temperature electrical and thermal conductivities, viscosity, and spin-diffusion constants. The results are applied to the case of a possible low-temperature normal liquid metallic phase of hydrogen, i.e., interpenetrating electron and proton fluids. We find the thermal and electrical conductivities and electron-spin-diffusion constant to be vastly smaller (by roughly a factor of the square of the electron-to-proton mass ratio) in a normal liquid than in a normal solid metallic phase of hydrogen of comparable density. We also discuss the collective modes in the collisionless regime.