# Non-Linear Optical Properties of Biexciton in Ellipsoidal Quantum Dot

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## Abstract

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## 1. Introduction

## 2. Exciton and Biexciton States

## 3. Non-Linear Properties

## 4. Results and Discussion

## 5. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Conflicts of Interest

## References

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**Figure 1.**The energy diagram for the biexciton of ground and excited states for different sets of geometrical parameters.

**Figure 2.**The transition diagram for the biexciton, exciton, and ground states. The geometrical parameters of the ellipsoidal QD have been chosen as follows: $c=5\mathrm{nm}$ and $a=50\mathrm{nm}$.

**Figure 3.**The real and imaginary parts of the susceptibility of ground and excited levels (

**a**) around one-photon resonance at $\omega ={\omega}_{eg}$, (

**b**) around one-photon resonance at $\omega ={\omega}_{be}$, and (

**c**) around two-photon resonance at $\omega ={\omega}_{bg}$; (

**d**) the dependence of the real and imaginary parts of the total susceptibility on the photon energy.

**Figure 4.**The real and imaginary parts of the susceptibility for ground levels for different small semiaxis (

**a**) around one-photon resonance at $\omega ={\omega}_{eg}$, (

**b**) around one-photon resonance at $\omega ={\omega}_{be}$, and (

**c**) around two-photon resonance at $\omega ={\omega}_{bg}$; (

**d**) the dependence of the real and imaginary parts of the total susceptibility on the photon energy.

**Figure 5.**The absorption of ground and excited levels (

**a**) around one-photon resonance at $\omega ={\omega}_{eg}$, (

**b**) around one-photon resonance at, $\omega ={\omega}_{be}$, and (

**c**) around two-photon resonance at $\omega ={\omega}_{bg}$; (

**d**) the dependence of the total absorption on the photon energy.

**Figure 6.**The absorption coefficient for ground levels for different small semiaxis (

**a**) around one-photon resonance at $\omega ={\omega}_{eg}$, (

**b**) around one-photon resonance at, $\omega ={\omega}_{be}$, and (

**c**) around two-photon resonance at $\omega ={\omega}_{bg}$; (

**d**) the dependence of the total absorption on the photon energy.

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**MDPI and ACS Style**

Bleyan, Y.Y.; Mantashyan, P.A.; Kazaryan, E.M.; Sarkisyan, H.A.; Accorsi, G.; Baskoutas, S.; Hayrapetyan, D.B. Non-Linear Optical Properties of Biexciton in Ellipsoidal Quantum Dot. *Nanomaterials* **2022**, *12*, 1412.
https://doi.org/10.3390/nano12091412

**AMA Style**

Bleyan YY, Mantashyan PA, Kazaryan EM, Sarkisyan HA, Accorsi G, Baskoutas S, Hayrapetyan DB. Non-Linear Optical Properties of Biexciton in Ellipsoidal Quantum Dot. *Nanomaterials*. 2022; 12(9):1412.
https://doi.org/10.3390/nano12091412

**Chicago/Turabian Style**

Bleyan, Yuri Y., Paytsar A. Mantashyan, Eduard M. Kazaryan, Hayk A. Sarkisyan, Gianluca Accorsi, Sotirios Baskoutas, and David B. Hayrapetyan. 2022. "Non-Linear Optical Properties of Biexciton in Ellipsoidal Quantum Dot" *Nanomaterials* 12, no. 9: 1412.
https://doi.org/10.3390/nano12091412