Quantum Nonlinear Optical Interactions between Graphene Plasmons

Chang, Darrick E.

doi:10.1364/iprsn.2015.iw2a.6

Cited by 1 publication

(1 citation statement)

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“…These include studying the bandstructure effects on optical conductivity beyond the Dirac cone approximation [20], analyzing effect of strain [21], role of substrate [22] and the effect of electron-electron interactions on the optical conductivity [23][24][25][26]. In addition to the linear conductivity, several remarkable non-linear optical effects in graphene have also been explored [22,[27][28][29][30][31][32][33][34][35][36], motivating a plethora of applications [37][38][39][40][41] based on broadband nonlinear optical properties of graphene.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear optical conductivity of a generic two-band system with application to doped and gapped graphene

Singh¹,

Bolotin²,

Ghosh³

et al. 2017

Phys. Rev. B

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We present a general formulation to calculate the dynamic optical conductivity, beyond the linear response regime, of any electronic system whose quasiparticle dispersion is described by a two band model. Our phenomenological model is based on the optical Bloch equations. In the steady state regime it yields an analytic solution for the population inversion and the interband coherence, which are nonlinear in the optical field intensity, including finite doping and temperature effects. We explicitly show that the optical nonlinearities are controlled by a single dimensionless parameter which is directly proportional to the incident field strength and inversely proportional to the optical frequency. This identification leads to a unified way to study the dynamical conductivity and the differential transmission spectrum across a wide range of optical frequencies, and optical field strength. We use our formalism to analytically calculate the nonlinear optical conductivity of doped and gapped graphene, deriving the well known universal ac conductivity of σ0 = e 2 /4 in the linear response regime of low optical intensities (or equivalently high frequencies) and non-linear deviations from it which appear at high laser intensities (or low frequencies) including the impact of finite doping and band-gap opening.arXiv:1606.05072v1 [cond-mat.mes-hall]

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