论文标题
晶格 - 弗米克西米尔效应和拓扑绝缘子
Lattice-fermionic Casimir effect and topological insulators
论文作者
论文摘要
Casimir效应是由颗粒在动量空间中的零点能量引起的，由于存在两个平行板而变形。对于晶格上的自由度，它的能量弹药分散剂是确定的，以使周期性在Brillouin区域内保持周期性，以便修改其Casimir效应。 We study the properties of Casimir effect for lattice fermions, such as the naive fermion, Wilson fermion, and overlap fermion based on the Möbius domain-wall fermion formulation, in the $1+1$-, $2+1$-, and $3+1$-dimensional space-time with the periodic or antiperiodic boundary condition. Casimir能量在奇数甚至晶格大小之间的振荡行为是由紫外线（倍增器）模式的贡献引起的，该模式在幼稚的费米恩（Naive Fermion）中意识到，在负质量中，威尔逊·费米昂（Wilson Fermion）以及与较大的域高度重叠。我们的发现可以在凝结物质系统（例如拓扑绝缘子）中进行实验观察到，也可以在晶格模拟中进行数值测量。
The Casimir effect arises from the zero-point energy of particles in momentum space deformed by the existence of two parallel plates. For degrees of freedom on the lattice, its energy-momentum dispersion is determined so as to keep a periodicity within the Brillouin zone, so that its Casimir effect is modified. We study the properties of Casimir effect for lattice fermions, such as the naive fermion, Wilson fermion, and overlap fermion based on the Möbius domain-wall fermion formulation, in the $1+1$-, $2+1$-, and $3+1$-dimensional space-time with the periodic or antiperiodic boundary condition. An oscillatory behavior of Casimir energy between odd and even lattice size is induced by the contribution of ultraviolet-momentum (doubler) modes, which realizes in the naive fermion, Wilson fermion in a negative mass, and overlap fermions with a large domain-wall height. Our findings can be experimentally observed in condensed matter systems such as topological insulators and also numerically measured in lattice simulations.
