Abstract

The paper develops a theory of second harmonic Hall (SHH) response arising from inter-band transitions and inter-band quantum geometry. It shows that insulating systems can exhibit a frequency-dispersive SHH response near inter-band resonance, interpretable as a breakdown of Kleinman’s conjecture in nonlinear optics, and predicts a giant SHH susceptibility in strained gated Bernal bilayer graphene.

Abstract

The paper develops a theory of second harmonic Hall (SHH) response arising from inter-band transitions and inter-band quantum geometry. It shows that insulating systems can exhibit a frequency-dispersive SHH response near inter-band resonance, interpretable as a breakdown of Kleinman’s conjecture in nonlinear optics, and predicts a giant SHH susceptibility in strained gated Bernal bilayer graphene.

Abstract

The paper develops a theory of second harmonic Hall (SHH) response arising from inter-band transitions and inter-band quantum geometry. It shows that insulating systems can exhibit a frequency-dispersive SHH response near inter-band resonance, interpretable as a breakdown of Kleinman’s conjecture in nonlinear optics, and predicts a giant SHH susceptibility in strained gated Bernal bilayer graphene.

Abstract

The paper develops a theory of second harmonic Hall (SHH) response arising from inter-band transitions and inter-band quantum geometry. It shows that insulating systems can exhibit a frequency-dispersive SHH response near inter-band resonance, interpretable as a breakdown of Kleinman’s conjecture in nonlinear optics, and predicts a giant SHH susceptibility in strained gated Bernal bilayer graphene.