Abstract
Electronic states are considered in a cylindrical quantum dot with the Kratzer confining potential in the axial direction. In this system, the nonlinear optical rectification and second harmonic generation for intraband transitions are studied theoretically. Analytical expressions are calculated for the energy spectrum of the wave functions, as well as for the matrix elements. The dependences of the coefficients of the optical rectification and the second harmonic on the incident photon energy are obtained. The nonmonotonic behavior of the dependences of the peaks heights of the optical rectification coefficients depending on the half width and depth of the Kratzer confining potential in the axial direction is demonstrated.
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Bimberg, D., Grundmann, M., and Ledentsov, N.N., Quantum dot heterostructures, John Wiley & Sons, 1999.
Kazaryan, E.M. and Petrosyan, S.G., Physical principles of semiconductor nanoelectronics, Yerevan: RAU, 2005.
Warburton, R.J., Schulhauser, C., Haft, D., Schäflein, C., Karrai, K., Garcia, J.M., Schoenfeld, W., and Petroff, P.M., Physical Review B, 2002, vol. 65, p. 113303.
Cao, G., Nanostructures and nanomaterials: synthesis, properties and applications, Imperial college press, 2004.
Caruge, J.M., Halpert, J.E., Wood, V., Bulović, V., and Bawendi, M.G., Nature photonics, 2008, vol. 2, p. 247.
Hayrapetyan, D.B., Kazaryan, E.M., and Sarkisyan, H.A., Optics Communications, 2016, vol. 371, p. 138.
Zhu, J.L., Xiong, J.J., and Gu, B.L., Physical Review B, 1990, vol. 41, p. 6001.
Cantele, G., Piacente, G., Ninno, D., and Iadonisi, G., Physical Review B, 2002, vol. 66, p. 113308.
Hayrapetyan, D.B., J. Contemp. Phys. (Armenian Ac. Sci.), 2007, vol. 42, p. 292.
Vahdani, M.R.K. and Rezaei, G., Physics Letters A, 2010, vol. 374, p. 637.
Atoyan, M.S., Kazaryan, E.M., and Sarkisyan, H.A., Physica E: Low–dimensional Systems and Nanostructures, 2004, vol. 22, p. 860.
Atoyan, M.S., Kazaryan, E.M., and Sarkisyan, H.A., Physica E: Low–dimensional Systems and Nanostructures, 2006, vol. 31, p. 83.
Woggon, U, Optical properties of semiconductor quantum dots, Springer, 1997.
Schmitt–Rink, S.D.A.B.M., Miller, D.A.B., and Chemla, D.S., Physical Review B, 1987, vol. 35, p. 8113.
Takagahara, T., Physical Review B, 1987, vol. 36 p. 9293.
Li, B., Guo, K.X., Zhang, C.J., and Zheng, Y.B., Physics Letters A, 2007, vol. 367, p. 493.
Shao, S., Guo, K.X., Zhang, Z.H., Li, N., and Peng, C., Superlattices and Microstructures, 2010, vol. 48, p. 541.
Liu, G., et al., Superlattices and Microstructures, 2013, vol. 53, p. 173.
Portacio, A.A., Rodríguez, B.A., and Villamil, P., Superlattices and Microstructures, 2018, vol. 113, p. 550.
Xie, W., Physics Letters A, 2008, vol. 372, p. 5498.
Bera, A., Ghosh, A., and Ghosh, M., Optical Materials, 2017, vol. 69, p. 352.
Malik, S., Roberts, C., Murray, R., and Pate, M., Applied Physics Letters, 1997, vol. 71, p. 1987.
Garcıa, J.M., Medeiros–Ribeiro, G., Schmidt, K., Ngo, T., Feng, J.L., Lorke, A., and Petroff, P.M., Applied Physics Letters, 1997, vol. 71, p. 2014.
Barker, J.A. and O'Reilly, E.P., Physica E: Low–dimensional Systems and Nanostructures, 1999, vol. 4, p. 231.
Lu, L., Xie, W., and Hassanabadi, H., Journal of Luminescence, 2011, vol. 131, p. 2538.
Hayrapetyan, D.B., et al., Nanotechnology VII. International Society for Optics and Photonics, 2015, vol. 9519, p. 951919.
Onyeaju, M.C., et al., Few–Body Systems, 2016, vol. 57, p. 793.
Jasmine, P.C., Peter, A.J., and Lee, C.W., Chemical Physics, 2015, vol. 452, p. 40.
Hayrapetyan, D.B., Kazaryan, E.M., and Tevosyan, H.K., J. Contemp. Phys. (Armenian Ac. Sci.), 2014, vol. 49, p. 119.
Flügge, S., Practical quantum mechanics, Springer Science & Business Media, 2012.
Hayrapetyan, D.B., Amirkhanyan, S.M., Kazaryan, E.M., and Sarkisyan, H.A., Physica E: Low–dimensional Systems and Nanostructures, 2016, vol. 84, p. 367.
Hayrapetyan, D.B., Kazaryan, E.M., Petrosyan, L.S., and Sarkisyan, H.A., Physica E: Low–dimensional Systems and Nanostructures, 2015, vol. 66, p. 7.
Rosencher, E. and Bois, Ph., Physical Review B, 1991, vol. 44, p. 11315.
Xie, W., Journal of Luminescence, 2013, vol. 143, p. 27.
Baskoutas, S., Paspalakis, E., and Terzis, A.F., Physical Review B, 2006, vol. 74, p. 153306.
Ahn, D. and Chuang, S.L., IEEE Journal of Quantum Electronics, 1987, vol. 23, p. 2196.
Landau, L.D. and Lifshitz, E.M., Quantum Mechanics: Non–Relativistic Theory, vol. 3, 3rd ed., Pergamon Press, 1977.
Baskoutas, S., Paspalakis, E., and Terzis, A.F., Journal of Physics: Condensed Matter, 2007, vol. 19, p. 395024.
Kole, A.K., et al., Optics Communications, 2014, vol. 313, p. 231.
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Russian Text © D.A. Baghdasaryan, E.S. Hakobyan, D.B. Hayrapetyan, H.A. Sarkisyan, E.M. Kazaryan, 2019, published in Izvestiya Natsional'noi Akademii Nauk Armenii, Fizika, 2019, Vol. 54, No. 1, pp. 61–74.
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Baghdasaryan, D.A., Hakobyan, E.S., Hayrapetyan, D.B. et al. Nonlinear Optical Properties of Cylindrical Quantum Dot with Kratzer Confining Potential. J. Contemp. Phys. 54, 46–56 (2019). https://doi.org/10.3103/S1068337219010067
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DOI: https://doi.org/10.3103/S1068337219010067