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We proposed a mechanism to generate giant anisotropic second harmonicnonlinear response via double resonance effect, achieved through band nestingvia electronic bandstructure engineering. The ideal band setup would be atriplet of nested bands separated by the fundamental resonance energy,$\hbar\omega$. We demonstrate theoretically that the proposed phenomenon can berealized in bilayer SnS by band tuning with perpendicular electrical bias,which maximizes the second harmonic susceptibility by several orders ofmagnitude. Moreover, the tunability of the polarization anisotropy can beuseful for realizing novel polarization-sensitive devices.

Double Resonant Tunable Second Harmonic Generation in Two-dimensional Layered Materials through Band Nesting