Dimensional interpolation for metallic hydrogen

We employ a simple and mostly accurate dimensional interpolation formula using dimensional limits D = 1 and D = infinity to obtain D = 3 ground-state energy of metallic hydrogen. We also present results describing the phase transitions for different symmetries of three-dimensional structure lattices. The interpolation formula not only predicts fairly accurate energies but also predicts a correct functional form of the energy as a function of the lattice parameters. That allows us to calculate different physical quantities such as the bulk modulus, Debye temperature, and critical transition temperature, from the gradient and the curvature of the energy curve as a function of the lattice parameters. These theoretical calculations suggest that metallic hydrogen is a likely candidate for high temperature superconductivity. The dimensional interpolation formula is robust and might be useful to obtain the energies of complex many-body systems.

Automated summary

This article uses a dimensional interpolation formula to predict the ground-state energy of metallic hydrogen and describes phase transitions of different symmetries in three-dimensional structure lattices. The formula accurately predicts energies and allows for calculation of physical quantities such as bulk modulus, Debye temperature, and critical transition temperature. The theoretical calculations suggest metallic hydrogen as a potential candidate for high-temperature superconductivity, and the dimensional interpolation formula may be useful for obtaining energies of complex many-body systems.