Analysis of dipole interactions in nonequilibrium cubic crystals

An alternative methodology is utilized for exploring the impact of mutual interactions between dipolarizable entities with negative static polarizability on the stability of nonequilibrium systems. This approach aims to confirm the minimum allowable limits of the static electric susceptibility determined by the ‘finite crystal method’. In this paper, a classical microscopic model is adopted for point-like dipolarizable entities (a model commonly used for positive polarizability). The study employs the infinite crystal method to explore the behavior of this model within cubic crystals focussing on scenarios involving one entity per primitive cell, where the entities exhibit negative static polarizability. An advantageous aspect of this method is its capability to formulate expressions for the polarizability of any crystal by representing them as infinite lattice sums derived from the plots in reciprocal space. • Extends the Infinite Crystal Method (ICM) to analyze nonequilibrium cubic crystals with negative static polarizability. • Conducts a detailed numerical examination of ICM for simple cubic (sc), body-centered cubic (bcc), and face-centered cubic (fcc) lattices, diverging from Allen’s prior work on positive polarizability. • Derives macroscopic static electric polarizability bounds using infinite lattice sum formulations, which were previously unattainable via the Finite Crystal Method (FCM). • Presents the first reported eigenvalue profiles for dipole–dipole interactions in bcc and fcc crystals, validating the applicability of ICM in broader contexts. • Confirms excellent agreement between ICM and FCM results, establishing ICM as a robust cross-validation tool for stability analysis in active metamaterials.