2020/10/07 by Kumar J. B. Ghosh, Sabre Kais, Dudley R. Herschbach
Chemistry · Engineering · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Physical and Chemical Molecular Interactions #Curvature #Function (biology) #Interpolation (computer graphics) #Lattice (music) #Metallic hydrogen #Phase transition #Thermodynamic and Structural Properties of Metals and Alloys #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1039/d0cp05301e
published as Physical Chemistry Chemical Physics, 2020 · 21 pages, 10 figures
arxiv created 2020/10/07 · openalex created_date 2020/10/29 · openalex publication_date 2020/11/06 · arxiv updated 2020/11/19 · openalex updated_date 2026/08/06
We employ a simple and mostly accurate dimensional interpolation formula using dimensional limits D = 1 and D = ∞ 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.