Twisted systems exhibiting unique electronic and mechanical properties are valuable in quantum physics and material science. Inspired by the concept of twistronics, we investigate the Casimir interaction in the twisted system. We delve into the behavior of the Casimir force within a system comprising layers of lithium iodate (LiIO₃), separated by a composite medium of nanoparticles dispersed in a liquid. A notable observation is that the Casimir force undergoes a transition from attractive to repulsive, arising in the relative rotation of the LiIO₃ at the Casimir magic twist angle. The transitions are induced by quasispindle dispersion and the competition between repulsion and attraction in wavevector space. This work combines macroscopic geometric configurations with microscopic quantum interactions, marks a step in the tunable Casimir attractive–repulsive transition, and is helpful for switchable nanoscale devices with ultralow static friction.

中文翻译：

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基于碘酸锂的扭转诱导卡西米尔吸引-排斥转变

扭曲系统表现出独特的电子和机械特性，在量子物理学和材料科学中很有价值。受扭转电子学概念的启发，我们研究了扭转系统中的卡西米尔相互作用。我们深入研究了由碘酸锂 (LiIO ₃ ) 层组成的系统中卡西米尔力的行为，该系统由分散在液体中的纳米颗粒复合介质分隔。一个值得注意的观察是，卡西米尔力经历了从吸引力到排斥力的转变，这是由于 LiIO ₃在卡西米尔魔扭角的相对旋转中产生的。这种转变是由准纺锤体色散以及波矢量空间中排斥力和吸引力之间的竞争引起的。这项工作将宏观几何构型与微观量子相互作用结合起来，标志着可调谐卡西米尔吸引-排斥转变的一步，并且有助于具有超低静摩擦的可切换纳米级器件。