Multiphoton resonant excitations and high-harmonic generation in bilayer graphene

Avetissian, H. K.; Mkrtchian, G. F.; Батраков, К. Г.; Maksimenko, S. A.; Hoffmann, A.

doi:10.1103/physrevb.88.165411

Cited by 60 publications

(59 citation statements)

References 39 publications

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“…In an earlier communication 1 we sketched some of the relevant work done before early 2014; recent contributions include a calculation by Mikhailov [42] of THG, 2 and a numerical solution of the equation of motion under strong laser fields by Avetissian et al [29,[44][45][46]. All of these studies focused on one or a few nonlinear effects.…”

Section: Introductionmentioning

confidence: 99%

Third-order nonlinearity of graphene: Effects of phenomenological relaxation and finite temperature

2015

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We investigate the effect of phenomenological relaxation parameters on the third-order optical nonlinearity of doped graphene by perturbatively solving the semiconductor Bloch equation around the Dirac points. An analytic expression for the nonlinear conductivity at zero temperature is obtained under the linear dispersion approximation. With this analytic formula as a starting point, we construct the conductivity at finite temperature and study the optical response to a laser pulse of finite duration. We illustrate the dependence of several nonlinear optical effects, such as third harmonic generation, Kerr effects and two photon absorption, parametric frequency conversion, and two-color coherent current injection, on the relaxation parameters, temperature, and pulse duration. In the special case where one of the electric fields is taken as a dc field, we investigate the dc-currentand dc-field-induced second-order nonlinearities, including dc-current-induced second harmonic generation and difference frequency generation.

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Section: Introductionmentioning

confidence: 99%

Third-order nonlinearity of graphene: Effects of phenomenological relaxation and finite temperature

2015

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“…However, the dependence of the nonlinearity on chemical potential, temperature, and the excitation frequency have not been systematically measured. Of the theoretical studies reported, most are still at the level of single particle approximations within different approaches, which include perturbative treatments based on Fermi's golden rule [25,26], the quasiclassical Boltzmann kinetic approach [1,2,27,28], and quantum treatments based on semiconductor Bloch equations (SBE) or equivalent strategies [3,[29][30][31][32][33][34][35][36][37][38]. When optical transitions around the Dirac points dominate, analytic expressions for the third order conductivities can be obtained perturbatively by employing the linear dispersion approximation [3,[35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Numerical study of the optical nonlinearity of doped and gapped graphene: From weak to strong field excitation

2015

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Numerically solving the semiconductor Bloch equations within a phenomenological relaxation time approximation, we extract both the linear and nonlinear optical conductivities of doped graphene and gapped graphene under excitation by a laser pulse. We discuss in detail the dependence of second harmonic generation, third harmonic generation, and the Kerr effects on the doping level, the gap, and the electric field amplitude. The numerical results for weak electric fields agree with those calculated from available analytic perturbation formulas. For strong electric fields when saturation effects are important, all the effective third order nonlinear response coefficients show a strong field dependence.

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“…that could also be dealt by higher order perturbation theory. The contributions (18) and (19) can be relevant in the regime of small quantizing static magnetic fields B ≈ 1T , but can be discarded in our following discussion since, a posteriori shows that these higher order contributions do not qualitatively change our main results.…”

Section: Modelmentioning

confidence: 98%

Photoinduced polarization enhancement on biased bilayer graphene in the Landau level regime

López¹,

Berche²,

Schliemann³

et al. 2019

J. Phys.: Condens. Matter

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We investigate the charge carrier dynamics in bilayer graphene subject to monochromatic laser irradiation within the Landau level quantization regime. Even though the radiation field does not lift the energy degeneracy of the lowest Landau levels (LLs), it nevertheless has a strong effect on the photoinduced pseudospin polarization response for higher LLs (n ≥ 2). Our results show that the photoinduced bandgaps lead to a finite response of the averaged pseudospin polarization with nontrivial oscillating behavior. It is shown that the contribution from these higher LL transitions turns out to be crucial to achieve an enhanced photoinduced polarization in radiated bilayer graphene. The experimental feasibility of our findings is also discussed. arXiv:1908.05515v1 [cond-mat.mes-hall]

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Multiphoton resonant excitations and high-harmonic generation in bilayer graphene

Cited by 60 publications

References 39 publications

Third-order nonlinearity of graphene: Effects of phenomenological relaxation and finite temperature

Third-order nonlinearity of graphene: Effects of phenomenological relaxation and finite temperature

Numerical study of the optical nonlinearity of doped and gapped graphene: From weak to strong field excitation

Photoinduced polarization enhancement on biased bilayer graphene in the Landau level regime

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