论文标题
金属氢的尺寸插值
Dimensional interpolation for metallic hydrogen
论文作者
论文摘要
我们使用尺寸限制$ d = 1 $和$ d = \ indty $采用简单且大部分准确的维度插值公式来获得金属氢的基础能量。我们还提出了描述三维结构晶格不同对称性的相变的结果。插值公式不仅可以预测相当准确的能量，而且还预测了能量的正确功能形式，这是晶格参数的函数。这使我们能够计算出不同的物理量，例如大量模量，debye温度和临界过渡温度，从能量曲线的梯度和曲率作为晶格参数的函数。这些理论计算表明，金属氢是高温超导性的候选者。尺寸插值公式是可靠的，可能有助于获得复杂的多体系统的能量。
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.
