Bragg quantum wells in weak confinement regime

D’Andrea, Andrea; Schiumarini, D.

doi:10.1140/epjb/e2006-00416-2

Cited by 3 publications

(12 citation statements)

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“…1 δ 2 , at the continuum limit of the hydrogenic set of states gives not a correct behaviour of the transition layer 30 as a function of exciton masses ratio (see also ref. [31] and the discussion therein). Notice that exciton transition layer of Fig.4, computed in the limit of slab thickness L → ∞, should be equal to those in semi-infinite sample of eq.(1).…”

Section: Wannier Exciton In a Slab: Variational Analytical Modelmentioning

confidence: 94%

“…The analytical approximation of the former wave function is obtained by adopting the procedure of ref. [31]. First of all, we restrict the finite sum to only one hydrogenic function: the 1s (n=1) state; the general case will be discussed in appendix A and specialized for n=2.…”

Section: Wannier Exciton In a Slab: Variational Analytical Modelmentioning

confidence: 99%

“…In fact, by imposing the NEBC: Ψ E (z e = ±L/2, z h , ρ) = Ψ E (z h = ±L/2, z e , ρ) = 0.0 we can determine, as shown in refs. [1,31], the following four rational functions:…”

Section: Wannier Exciton In a Slab: Variational Analytical Modelmentioning

confidence: 99%

“…In order to study the Wannier exciton behaviour in the centre-of-mass quantization the m=1 energy minimization is computed by adopting the formula reported in ref. [31]. In Fig.1 the exciton energy, in a rather large AlGaAs/GaAs(001) quantum well, is shown as a function of the variational parameters value .…”

Section: Wannier Exciton In a Slab: Variational Analytical Modelmentioning

confidence: 99%

“…We observe that the transition layer is as large as four-times the Bohr radius in the limit of hydrogenic masses ratio (m h ≈ 1836m e ⇒ δ ≈ 4a B ), while it is a bit greater than half the Bohr radius in the positronium limit (M = 4µ ⇒ δ ≈ 0.7a B ); its behaviour is also in agreement with the exact adiabatic exciton envelope function 28 as shown in a previous computation for quantum well in the range of thicknesses 10a B L 20a B (see Fig.3 ref. [31] where the two curves must be exchanged). We would like to remind that a former evaluation 28 , derived from the energy bal-…”

Section: Wannier Exciton In a Slab: Variational Analytical Modelmentioning

confidence: 99%

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Polariton propagation in weak-confinement quantum wells

et al. 2010

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Exciton-polariton propagation in a quantum well, under centre-of-mass quantization, is computed by a variational self-consistent microscopic theory. The Wannier exciton envelope functions basis set is given by the simple analytical model of ref.[1], based on pure states of the centre-of-mass wave vector, free from fitting parameters and "ad hoc" (the so called additional boundary conditionsABCs) assumptions. In the present paper, the former analytical model is implemented in order to reproduce the centre-of-mass quantization in a large range of quantum well thicknesses (5aB ≤ L ≤ ∞). The role of the dynamical transition layer at the well/barrier interfaces is discussed at variance of the classical Pekar's dead-layer and ABCs. The Wannier exciton eigenstates are computed, and compared with various theoretical models with different degrees of accuracy. Excitonpolariton transmission spectra in large quantum wells (L ≫ aB) are computed and compared with experimental results of Schneider et al.2 in high quality GaAs samples. The sound agreement between theory and experiment allows to unambiguously assign the exciton-polariton dips of the transmission spectrum to the pure states of the Wannier exciton center-of-mass quantization.

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Section: Wannier Exciton In a Slab: Variational Analytical Modelmentioning

confidence: 94%

Section: Wannier Exciton In a Slab: Variational Analytical Modelmentioning

confidence: 99%

“…In fact, by imposing the NEBC: Ψ E (z e = ±L/2, z h , ρ) = Ψ E (z h = ±L/2, z e , ρ) = 0.0 we can determine, as shown in refs. [1,31], the following four rational functions:…”

Section: Wannier Exciton In a Slab: Variational Analytical Modelmentioning

confidence: 99%

Section: Wannier Exciton In a Slab: Variational Analytical Modelmentioning

confidence: 99%

Section: Wannier Exciton In a Slab: Variational Analytical Modelmentioning

confidence: 99%

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Polariton propagation in weak-confinement quantum wells

et al. 2010

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Resonant Bragg quantum wells in hybrid photonic crystals: optical properties and applications

Schiumarini¹,

D’Andrea²,

Tomassini³

2016

J. Opt.

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The exciton–polariton propagation in resonant hybrid periodic stacks of isotropic/anisotropic layers, with misaligned in-plane anisotropy and Bragg photon frequency in resonance with Wannier exciton of 2D quantum wells is studied by self-consistent theory and in the effective mass approximation. The optical tailoring of this new class of resonant Bragg reflectors, where the structural periodicity of a multi-layer drives the in-plane optical -axis orientation, is computed for symmetric and asymmetric elementary cells by conserving strong radiation–matter coupling and photonic band-gaps. The optical response computation, on a finite cluster of N-asymmetric elementary cells, shows anomalous exciton–polariton propagation and absorbance properties strongly dependent on the incident wave polarizations. Finally, the behaviour of the so-called intermediate dispersion curves, close to the unperturbed exciton resonance, and located between upper and lower branches of the first band gap, is studied as a function of the in-plane -axis orientation. This latter optical property is promising for storing exciton–polariton impulses in this kind of Bragg reflector.

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Nonreciprocal optical properties in resonant hybrid photonic crystals

D’Andrea

Tomassini

2016

Phys. Rev. A

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Optical chiral properties of a resonant hybrid photonic crystal (RHPC) are computed taking into account spin-orbit effect due to light-hole excitons perfectly confined in 2D quantum wells. The trends of the optical activity, expressed as a ratio between the absorption intensities of the z and xy light-hole polaritons, are obtained by computing the optical response in a rather large N-cluster of elementary cells (N= 34) and for exciton energy, in resonance with a stationery inflection point (SIP). High values of spin-orbit interaction (0.7 eV Å) produce strong distortions of the optical activity polar curves that, differently, becomes rather isotropic if the experimental value (0.14 eV Å) is used.

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Bragg quantum wells in weak confinement regime

Cited by 3 publications

References 17 publications

Polariton propagation in weak-confinement quantum wells

Polariton propagation in weak-confinement quantum wells

Resonant Bragg quantum wells in hybrid photonic crystals: optical properties and applications

Nonreciprocal optical properties in resonant hybrid photonic crystals

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