论文标题
半导体和拓扑绝缘器电线中的等离子体具有较大的介电常数
Plasmons in semiconductor and topological insulator wires with large dielectric constant
论文作者
论文摘要
沿着半径$ a $的细线沿细线延伸的等离子的分散定律实际上是线性的。我们表明，在带电介质常数$κ$ $κ_e$ $ $κ_e$的电线中，当等离子波长变短时，这种分散定律跨越了分散的三维法则，该定律比长度$（a/2）\ sqrt {（κ/κE）$（κ/κe_e）$（κ/κE__e）the（κ/κE）（κln（κE）从电线退出到环境。这既发生在三维拓扑绝缘子的微不足道的半导体线和电线中。
The dispersion law of plasmons running along thin wires with radius $a$ is known to be practically linear. We show that in a wire with a dielectric constant $κ$ much larger than that of its environment $κ_e$, such dispersion law crosses over to a dispersionless three-dimensional-like law when the plasmon wavelength becomes shorter than the length $(a/2) \sqrt{(κ/κ_e)\ln(κ/2κ_e)}$ at which the electric field lines of a point charge exit from the wire to the environment. This happens both in trivial semiconductor wires and wires of three-dimensional topological insulators.
