有限表面带隙拓扑绝缘体间的Casimir相互作用
Casimir interaction between topological insulators with finite surface band gap
摘要：
研究了具有相反拓扑磁电极化率和有限表面带隙的拓扑绝缘体之间的卡西米尔相互作用。对于大的表面带隙极限$(m\rightarrow\infty)$，我们可以得到[Phys.Rev.Lett. \textbf{106}，020403（2011）]。对于小的表面带隙极限$(m\rightarrow0)$，拓扑绝缘体之间的Casimir相互作用是有吸引力的，并且在短的分离极限下类似于理想金属。通常，存在临界值$m_c$，并且当表面带隙大于临界值时，卡西米尔力在中间分离区域中是排斥性的。我们估计了临界表面带隙$m_c \sim 1/(2a)$，其中$a$是Casimir力消失的临界分离。
英文摘要：
Casimir interaction between topological insulators with opposite topological magnetoelectric polarizabilities and finite surface band gaps has been investigated. For large surface band gap limit$(m\rightarrow\infty)$, we can obtain results given in [Phys. Rev. Lett. \textbf{106}, 020403 (2011)]. For small surface band gap limit$(m\rightarrow0)$, Casimir interaction between topological insulators is attractive and analogy to ideal mental in short separation limit. Generally, there is a critical value $m_c$ and when the surface band gap is greater than the critical value, the Casimir force is repulsive in an intermediate separation region. We estimate the critical surface band gap $m_c \sim 1/(2a)$, where $a$ is a critical separation where Casimir force vanishes.
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