arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2005.07024cond-mat.mes-hall
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二维六角纳米结构二阶非线性的微观量子描述

Microscopic quantum description of second-order nonlinearities in 2D hexagonal nanostructures beyond the Dirac cone approximation

H. K. Avetissian, G. F. Mkrtchian, K. G. Batrakov, S. A. Maksimenko

摘要:

单层的六边形二维纳米结构,如石墨烯,硅烯和锗烯表现出大的载流子费米速度,因此,大的光-物质耦合强度使这些材料成为纳米光电子学的有前途的元素。虽然这些材料是中心对称的,但空间色散是相当大的,允许这种材料的二阶非线性响应与非中心对称的2D材料相当。无质量狄拉克费米子的二阶响应已被广泛研究,但目前还没有一种在整个布里渊区都能正确计算的通用方法。为了完成这一差距,在目前的论文中,我们开发了一个通用的量子力学理论的面内二阶非线性响应超越狄拉克锥近似和适用于全布里渊区的六方紧束缚纳米结构。我们提出了明确的计算适用于任意三波混频过程的二维六角纳米结构的非线性极化率张量。

英文摘要:

Single layers of hexagonal two-dimensional nanostructures such as graphene, silicene, and germanene exhibit large carrier Fermi velocities and, consequently, large light-matter coupling strength making these materials promising elements for nano-opto-electronics. Although these materials are centrosymmetric, the spatial dispersion turns out to be quite large allowing the second-order nonlinear response of such materials to be comparable to the non-centrosymmetric 2D ones. The second-order response of massless Dirac fermions has been extensively studied, however a general approach correct over the full Brillouin zone is lacking so far. To complete this gap, in the current paper we develop a general quantum-mechanical theory of the in-plane second-order nonlinear response beyond the Dirac cone approximation and applicable to the full Brillouin zone of the hexagonal tight-binding nanostructures. We present explicit calculation of the nonlinear susceptibility tensor of 2D hexagonal nanostructures applicable to arbitrary three-wave mixing processes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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