Optical nonlinearities in multiple quantum wells: Generalized Elliott formula

Campi, D.; Coriasso, C.

doi:10.1103/physrevb.51.10719

Cited by 46 publications

(16 citation statements)

References 59 publications

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“…It has been represented by a set of effective oscillators 10 and by a broadened step function in ⑀ 2 . 13 The pure 2D Sommerfeld factor is also introduced, sometimes modified to account for the reduced value of the enhancement at the band edge 11,14,28 first calculated by Chan, as mentioned above. It is worth noting that some of these models are using independent variables to scale the oscillator strengths of the bound and unbound states, even though absorption is known to be continuous at E g .…”

Section: Of Ref 24mentioning

confidence: 99%

“…[3][4][5] As a consequence, many theoretical and experimental studies have been devoted to the explanation of the absorption spectra of structures of ''reduced dimensionality.'' [6][7][8][9][10][11][12][13][14][15] Many sophisticated calculations have been published for quantum wells and wires, 7,12,[16][17][18][19][20] some of which take into account valence-band mixing and nonparabolicity effects in the energies and oscillator strengths of the optical transitions. However, these descriptions usually require a heavy computational effort.…”

Section: Introductionmentioning

confidence: 99%

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Analytical model for the refractive index in quantum wells derived from the complex dielectric constant of Wannier excitons in noninteger dimensions

Tanguy

Lefèbvre

Mathieu

et al. 1997

Journal of Applied Physics

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Articles you may be interested inDielectric effect of changes of refractive index in a Mg based II-VI semiconductor nanostructure AIP Conf. Influence of polarization induced electric fields on the wavelength and the refractive index of intersubband transitions in AlN/GaN coupled double quantum wellsFemtosecond time-resolved dispersion relation of complex nonlinear refractive index in a semiconductor quantum well Absorption spectra of low-dimensional structures such as quantum wells or wires have been strikingly well reproduced by expressions based on solutions of the Schrödinger equation for the Coulomb potential in noninteger dimensions, which require much less computational effort than more elaborate calculations. The compact and analytical complex dielectric constant of Wannier excitons in d dimensions is given, and included in a simple model of the refractive index in quantum well structures in the vicinity of the absorption threshold.

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Section: Of Ref 24mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical model for the refractive index in quantum wells derived from the complex dielectric constant of Wannier excitons in noninteger dimensions

Tanguy

Lefèbvre

Mathieu

et al. 1997

Journal of Applied Physics

View full text Add to dashboard Cite

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“…It is difficult to evaluate this quantity in a quasi bi-dimensional system. However, with respect to the non interacting model, the absorption associated to dissociated electron-hole pairs can be enhanced by a factor 2 [16]. With regard to the Fig.…”

Section: Optical Density Calculation Versus Experimental Results and mentioning

confidence: 99%

Optical Investigations and Absorption Coefficient Determination of InGaN/GaN Quantum Wells

Kvietkova¹,

Siozade²,

Disseix³

et al. 2002

phys. stat. sol. (a)

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Thermally detected optical absorption (TDOA) and photoluminescence experiments were carried out on InGaN/GaN multi-quantum well (MQW) structures grown by molecular beam epitaxy on (0001) sapphire substrates. The absorption coefficient of the QW was extracted by modelling the TDOA lineshape. These experimental findings are confronted with the theoretical optical density evaluated within envelope function calculations of transition energies and oscillator strengths, including the electric field effects. The results show a relative agreement obtained by using a smaller value of the electric field than it has been predicted theoretically. However, other effects must be included in our model in order to achieve a realistic description of the absorption process in this sophisticated system.

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“…It is common practice in the literature that the exciton resonances appearing in the optical properties of QWs be described phenomenologically by Lorentzian functions: 10 here the Lorentzian line shapes come out naturally, without invoking any ad hoc prescription. In fact, by performing the Laurent expansion of the function (1ϪX n ) Ϫ1 around the poles E n , the imaginary part of Eq.…”

Section: Discussion Of Discrete Resonances "E<0…mentioning

confidence: 99%

Formulation of the optical response in semiconductors and quantum-confined structures

1998

Self Cite

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Based on the Green's-function formalism, we present an approach to the linear and nonlinear optical properties of semiconductors and their heterostructures. Starting from the Bethe-Salpeter equation ͓as provided in Schmitt-Rink, Ell, and Haug, Phys. Rev. B 33, 1183 ͑1986͔͒, we obtain closed-form expressions for the interband density of states in the presence of a carrier plasma of arbitrary density and in quasiequilibrium. Focusing on two-dimensional heterostructures, we discuss both the exciton resonances and the exciton ionization continuum. Our approach brings out, in a most natural way, phenomena whose description was previously known phenomenologically or numerically.

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Optical nonlinearities in multiple quantum wells: Generalized Elliott formula

Cited by 46 publications

References 59 publications

Analytical model for the refractive index in quantum wells derived from the complex dielectric constant of Wannier excitons in noninteger dimensions

Analytical model for the refractive index in quantum wells derived from the complex dielectric constant of Wannier excitons in noninteger dimensions

Optical Investigations and Absorption Coefficient Determination of InGaN/GaN Quantum Wells

Formulation of the optical response in semiconductors and quantum-confined structures

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