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arXiv 1609.02073cond-mat.mes-hallquant-ph
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石墨烯的二阶非线性光学响应

Second-order nonlinear optical response of graphene

Yongrui Wang, Mikhail Tokman, Alexey Belyanin

摘要:

虽然石墨烯中的无质量狄拉克费米子构成了一个中心对称的平面内激发介质,但如果考虑空间色散的影响,它们的二阶非线性光学响应是非零的。在这里,我们提出了一个严格的量子力学理论的二阶非线性响应的石墨烯超越电偶极子近似,其中包括带内和带间跃迁。由此得到的非线性磁化率张量满足所有的对称性和排列性质,并可以应用于所有的三波混频过程。我们得到了有用的解析表达式的限制,简并电子分布,这揭示了相当强的二阶非线性在长波长,费米边共振,和不寻常的偏振特性。

英文摘要:

Although massless Dirac fermions in graphene constitute a centrosymmetric medium for in-plane excitations, their second-order nonlinear optical response is nonzero if the effects of spatial dispersion are taken into account. Here we present a rigorous quantum-mechanical theory of the second-order nonlinear response of graphene beyond the electric dipole approximation, which includes both intraband and interband transitions. The resulting nonlinear susceptibility tensor satisfies all symmetry and permutation properties, and can be applied to all three-wave mixing processes. We obtain useful analytic expressions in the limit of a degenerate electron distribution, which reveal quite strong second-order nonlinearity at long wavelengths, Fermi-edge resonances, and unusual polarization properties.

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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