The idea of size-quantisation

1. Spherical and cylindrical nanolayers: electronic states, quantum transitionsHayk SarkisyanRussian-Armenian (Slavonic) UniversityYerevan State University

2. The idea of size-quantisation

3. Some geometries of quantum dots

5. Fulerens and nanotubes

6. Z R1 R2 Z O Y R1 R2 X O L Simple models of layered systems Spherical layer QD Cylindrical layer QD

8. Fig. 1. GaInAs quantum ringsLorkeet al (Phys. Rev. Lett.84, 2223 (2000)). 250250 нм2.

9. Fig. 2. Bound structures of quantum layer

10. Fig. 3. Chakraborty-Pietilainen model (Phys. Rev. Lett.84, 2223 (2000)) Fig. 4. Smorodinsky-Winternitz model (Yadernaya fizika4, 625 (1966)).

11. 2 1 Fig. 5. Difference between potentials profiles: 1. Chakraborty-Pietilainen model, 2. Smorodinsky-Winternitz model

12. z R1 R2 L o 1. Parameters of quantum ring Experimental data (Lorkeetal - Phys. Rev. Lett.84, 2223 (2000)) quantum ring –InAs coating – GaAs inner radius – 10 nm outer radius – from 30 to 70 nm thickness – 2 nm Cylindrical layer quantum dot

13. 2. Models of confining potentials –Chakraborty-Pietilainen model (Phys. Rev.B 50, 8460 (1994)). 1. –Model of the impenetrable cylindrical layer quantum dot (Physica E 36, 114 (2007) ) 2. 3. – Smorodinsky-Winternitz model (Yadernaya fizika4, 625 (1966)). 4. –Radial analog of the Smorodinsky-Winternitz potential

14. 3. Quantum ring in the magnetic field

16. –effective mass of the electron (–hole ) F(a,b,x) – confluent hypergeometrical function.

17. 4. Absorption coefficient

19. z R2 R1 L o 5. Influence of electric field

21. x z R2 R1 o L 6. Rotator model

22. Rotational levels Radial level

23. 7. Electronic states in the spherical nanolayer1. E.M. Kazaryan, A.A. Kostanyan, H.A. Sarkisyan, J. Cont. Phys. (2007).2. M.A. Zuhair, A.Kh. Manaselyan, H.A. Sarkisyan, J. Phys.: Conf. Ser. (2008).

25. Parabolic quantum well with hydrogen-like impurity 1A. A. Gusev, et al, Phys. At. Nucl., 2010, Vol. 73, (accepted).

28. THANK YOU!