Dimensional interpolation for metallic hydrogen

Abstract

We employ a simple and mostly accurate dimensional interpolation formula using dimensional limits $D=1$ and $D=\infty$ 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.

arXiv comment21 pages, 10 figures

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• A superconductor to superfluid phase transition in liquid metallic hydrogen
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Cited by in corpus (3)

• Electron-phonon coupling constant and BCS ratios in (La,Nd)-H superhydride
• Geometrical picture of the electron-electron correlation at the large-D limit
• Dimensional Interpolation for Random Walk