We investigate how photoinduced topological phase transitions and the magnetic-field-induced quantum Hall effect simultaneously influence the Casimir force between two parallel sheets of staggered two-dimensional (2D) materials of the graphene family. We show that the interplay between these two effects enables on-demand switching of the force between attractive and repulsive regimes while keeping its quantized characteristics. We also show that doping these 2D materials below their first Landau level allows one to probe the photoinduced topology in the Casimir force without the difficulties imposed by a circularly polarized laser. We demonstrate that the magnetic field has a huge impact on the thermal Casimir effect for dissipationless materials, where the quantized aspect of the energy levels leads to a strong repulsion that could be measured even at room temperature.

中文翻译：

---

平地中的卡西米尔力：光致相变与量子霍尔物理之间的相互作用

我们研究光致拓扑相变和磁场引起的量子霍尔效应如何同时影响石墨烯族的交错二维（2D）材料的两个平行片材之间的卡西米尔力。我们表明，这两种效应之间的相互作用使得按需切换吸引力和排斥力之间的力，同时保持其量化的特征。我们还表明，将这些2D材料掺杂到其第一Landau水平以下可以使人们探测卡西米尔力中的光诱导拓扑，而不会遇到圆偏振激光所带来的困难。我们证明了磁场对无耗散材料的热卡西米尔效应有巨大影响，