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arXiv 1609.08946cond-mat.mes-hall
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过渡金属二硫属化合物单分子膜边缘态对倍频的共振增强

Resonant Enhancement of Second Harmonic Generation by Edge States in Transition Metal Dichalcogenide Monolayers

V. V. Enaldiev

摘要:

我们推导了过渡金属二硫属化物单分子膜边缘态的低能理论,在非耦合谷的情况下,给出了两带$\bm{kp}$ -哈密顿量。在没有自旋轨道相互作用的边缘,这些国家拥有一个单一的现象学参数描述的边缘结构的线性色散。取决于参数的符号,边缘状态的频谱可以跨越带隙或位于它之外。在第一种情况下,边缘状态的存在导致共振增强的二次谐波产生的频率约为带隙的一半,与最近的实验一致。从共振频率位置提取唯象边界参数的值。

英文摘要:

We derive a low-energy theory for edge states in transition metal dichalcogenide monolayers for a two-band $\bm{kp}$-Hamiltonian in case of uncoupled valleys. In the absence of spin-orbit interaction at the edge, these states possess a linear dispersion described by a single phenomenological parameter characterizing the edge structure. Depending on the sign of the parameter, the edge state spectrum can either cross the band gap or lie outside of it. In the first case, the presence of edge states leads to resonant enhancement of the second harmonic generation at frequencies about the half of the band gap, in agreement with recent experiments. The value of the phenomenological boundary parameter is extracted from the resonance frequency position.

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