We analyze the Kerr index, associated critical power, and focal length for nodal semimetals in a Weyl, Dirac, and gapped semimetal phase. Our model produces a Kerr index of ${10^{- 15}} - {10^{- 20}}\;{{\rm{m}}^2}/{\rm{W}}$ in the micro-meter wavelength range. Novel dependence of the Kerr index, critical power, and focal length on temperature, chemical potential, bandgap, and node separation are readily obtained through our model and show that the tunability of the non-linear response of a nodal semimetal persists in its focusing phenomenon.

中文翻译：

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节点半金属的自聚焦

我们分析了Weyl，Dirac和带隙半金属相中的节点半金属的Kerr指数，相关的临界功率和焦距。我们的模型产生的克尔索引$ {10 ^ { - 15}} - {10 ^ { - 20}} \; {{\ RM {M}} ^ 2} / {\ RM【W}} $在微米波长范围。通过我们的模型可以很容易地获得Kerr指数，临界功率和焦距对温度，化学势，带隙和节点间距的新颖依赖性，并且表明节点半金属的非线性响应的可调性仍然存在于其聚焦现象中。