论文标题
多原子系统中的声子卡西米尔效应
Phonon Casimir effect in polyatomic systems
论文作者
论文摘要
声子Casimir效应描述了凝结物系统中缺陷之间的声子介导的相互作用。使用路径综合形式主义，我们得出了一种通过任意维度和组成系统中振动模式而导致的helmholtz自由能计算的通用方法。我们的结果使得在任何温度下为各种缺陷配置提取缺陷相互作用能。我们通过在零和有限温度下对单链链和双原子分子进行数值计算以及双原子分子的数值计算，并使用精确的对角度来验证我们的结果。
The phonon Casimir effect describes the phonon-mediated interaction between defects in condensed-matter systems. Using the path-integral formalism, we derive a general method for calculating the Helmholtz free energy due to vibrational modes in systems of arbitrary dimensionality and composition. Our results make it possible to extract the defect interaction energy at any temperature for various defect configurations. We demonstrate our approach in action by performing numerical calculations for mono- and diatomic chains, as well as a diatomic molecule, at zero and finite temperatures and validate our results using exact diagonalization.
