Abstract
Free energies of metallic hydrogen consisting of itinerant electrons and protons in the fluid and the Wigner-crystalline phases are evaluated as functions of density and temperature at various degrees of proton-spin polarization, in a Born–Oppenheimer approximation stemming from substantial mass difference between the two constituents. Those equations of state applicable in quantum and classical regimes are then utilized for the construction of phase diagrams, describing solidification and spin magnetization for proton fluids. Nuclear ferromagnetism due to partial spin-alignment of protons is predicted in an extended parametric domain, including the vicinity of metal-insulator phase boundaries. A contact is made between the magnetic phase diagram so obtained and observed data on the surface magnetic fields and temperatures of magnetic white dwarfs.
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