High-order nonlinear optical response of a twisted bilayer graphene

Abstract

Focusing on the twist angle for the minimal commensurate structure, we perform nonperturbative calculations of electron dynamics in the twisted bilayer graphene (TBG) under intense laser fields. We show that the TBG exhibits enriched high-harmonic generation that cannot occur in monolayer or conventional bilayers. We elucidate the mechanism of these nonlinear responses by analyzing dynamical symmetries, momentum-resolved dynamics, and roles of interlayer coupling. Our results imply nonlinear "optotwistronics," or controlling optical properties of layered materials by artificial twists.

5 pages, 4 figures + Supplemental Material

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• Doping and gap-size dependence of high-harmonic generation in graphene : Importance of consistent formulation of light-matter coupling
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• Optotwistronic of bilayer graphene
• Berry curvature and shift vector effects at high-order wave mixing in biased bilayer graphene
• High harmonic generation from electrons moving in topological spin textures
• High-harmonic generation in graphene under the application of a DC electric current: From perturbative to nonperturbative regimes
• High-order harmonic generations in tilted Weyl semimetals
• Two-color laser control of photocurrent and high harmonics in graphene
• Floquet theory and applications in open quantum and classical systems
• Theory of Photocurrent and High-Harmonic Generation with Chiral Fermions
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• Non-linear response of interacting bosons in a quasiperiodic potential
• Effective K valley Hamiltonian for TMD bilayers under pressure and application to twisted bilayers with pressure-induced topological phase transitions
• Frequency comb in twisted magnonic crystals
• Intervalley Band Crossing and Transition of Fractional Chern Insulators in Floquet Twisted Bilayer MoTe${}_2$
• Nonlinear optical response of Type-II Weyl fermions in two dimensions