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We have calculated the ground state electronic structure of He under pressurefrom 0 to 1500 GPa using both all-electron full-potential and pseudopotentialmethods based on the density functional theory (DFT). We find that throughoutthis pressure range, pseudopotentials yield essentially the same energy-volumecurve for all of bcc, fcc, and hcp configurations as does the full-potentialmethod, a strong indication that pseudopotential approximation works well forHe both as the common element in some giant planets and as detrimentalimpurities in fusion reactor materials. The hcp lattice is always the moststable structure and bcc the least stable one. Since the energy preference ofhcp over fcc and bcc is within 0.01 eV below 100 GPa and about 0.1 eV at 1500GPa, on the same order of the error bar in local or semi-local densityapproximations in DFT, phase transitions can only be discussed with moreprecise description of electron correlation in Quantum Monte Carlo or DFT-basedGW methods.

Helium under high pressure: A comparative study of all-electron and pseudopotential methods within density functional theory