Top

Optical and Quantum Electronics

Published in:

01-08-2015

Effect of position-dependent effective mass on optical properties of spherical nanostructures

Authors: Y. Naimi, J. Vahedi, M. R. Soltani

Published in: Optical and Quantum Electronics | Issue 8/2015

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

The effects of position-dependent effective mass on the absorption coefficients (ACs) of spherical quantum dot (QD) and quantum antidot (QAD) have been investigated. We show that the radial position-dependent effective mass Schrödinger equation can be reduced into ordinary one-dimensional Schrödinger equation with some suitable transformations. Our numerical calculations are performed using both a constant effective mass and the position-dependent effective mass. The comparative approach is used for presenting the results of both QD and QAD models. It is found that not only for the effective constant mass but also for the position-dependent effective mass, the ACs curves corresponding to QD and QAD are considerably different in shapes and behaviors. Our obtained results show that the spatial variation of the electron effective mass can not be neglected in the optical ACs of both QD and QAD nanostructures.

previous article Stability conditions and far field patterns of two mutual injection locked fiber lasers

next article Improved the light extraction efficiency of GaN vertical light-emitting diodes using 3D sphere-like arrays

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Baser, P., Elagoz, S., Kartal, D.: The effects of pressure and barrier height on donor binding energy in GaAs/Ga_1xAl_x As cylindrical quantum well wires. Phys. B 405, 3239–3242 (2010)CrossRefADS

Brasken, M., Lindberg, M., Sundholm, D., Olsen, J.: Full configuration interaction calculations of electron–hole correlation effects in strain-induced quantum dots. Phys. Rev. B 61, 7652–7655 (2000)CrossRefADS

Çakir, B., Yakar, Y., Özmen, A.: Refractive index changes and absorption coefficients in a spherical quantum dot with parabolic potential. J. Lumin. 132, 2659–2664 (2012)CrossRef

Çakir, B., Yakar, Y., Özmen, A.: Linear and nonlinear optical absorption coefficients of two-electron spherical quantum dot with parabolic potential. Phys. B 458, 138–143 (2015)CrossRefADS

Dane, C., Akbas, H., Guleroglu, A., Minez, S., Kasapoglu, K.: The hydrostatic pressure and electric field effects on the normalized binding energy of hydrogenic impurity in a GaAs/AlAs spherical quantum dot. Phys. E 44, 186–189 (2011)CrossRef

Davatolhagh, S., Jafari, A.R., Vahdani, M.R.K.: Oscillator strengths of the intersubband electronic transitions in the hydrogenic nano-antidots. Superlatt. Microstruct. 51, 62–72 (2012)CrossRefADS

Farkoush, B.A., Safarpour, G., Zamani, A.: Linear and nonlinear optical absorption coefficients and refractive index changes of a spherical quantum dot placed at the center of a cylindrical nano-wire: effects of hydrostatic pressure and temperature. Superlatti. Microstruct. 59, 66–76 (2013)CrossRefADS

Holovatsky, V.A., Makhanets, O.M., Voitsekhivska, O.M.: Oscillator strengths of electron quantum transitions in spherical nano-systems with donor impurity in the center. Phys. E 41, 1522–1526 (2009)CrossRef

Jafari, A.R., Naimi, Y.: Linear and nonlinear optical properties of multi-layered spherical nano-systems with donor impurity in the center. J. Comput. Electron. 12, 36–42 (2013)CrossRef

Janssens, K.L., Peeters, F.M., Schweigert, V.A.: Magnetic-field dependence of the exciton energy in a quantum disk. Phys. Rev. B 63, 205311–205333 (2001)CrossRefADS

Junichi, M., et al.: Fabrication of GaAs/AlGaAs quantum dots by metalorganic vapor phase epitaxy on patterned GaAs substrates. Jpn. J. Appl. Phys. 34, 1098–1101 (1995)CrossRef

Karimi, M.J., Rezaei, G., Nazari, M.: Linear and nonlinear optical properties of multilayered spherical quantum dots: Effects of geometrical size, hydrogenic impurity, hydrostatic pressure and temperature. J. Lumin. 145, 55–60 (2014)CrossRef

Karimi, M.J., Rezaei, G.: Magnetic field effects on the linear and nonlinear optical properties of coaxial cylindrical quantum well wires. J. Appl. Phys. 111, 064313–064319 (2012)CrossRefADS

Kasapoglu, E.: The hydrostatic pressure and temperature effects on donor impurities in GaAs/GaAlAs double quantum well under the external fields. Phys. Lett. A 373, 140–143 (2008)CrossRefADS

Khordad, R.: Diamagnetic susceptibility of hydrogenic donor impurity in a V-groove GaAs/Ga_1−xAl_xAs quantum wire. Eur. Phys. J. B 78, 399–403 (2010)CrossRefADS

Khordad, R.: Hydrogenic donor impurity in a cubic quantum dot: effect of position-dependent effective mass. Eur. Phys. J. B 85, 114–119 (2012)CrossRefADS

Khordad, R., Fathizadeh, N., Davatolhagh, S., Jafari, A.R.: Hydrogenic impurity states in a spherical quantum antidot: spin-orbit interaction, relativistic correction, and diamagnetic susceptibility. Eur. Phys. J. B 85, 353–359 (2012)CrossRefADS

Khordad, R.: Optical properties of quantum wires: Rashba effect and external magnetic field. J. Lumin. 134, 201–207 (2013)CrossRef

Kunrugsa, M., et al.: Molecular beam epitaxial growth of GaSb/GaAs quantum dots on Ge substrates. J. Cryst. Growth 401, 441–444 (2014)CrossRef

Levy-Leblond, J.-M.: Position-dependent effective mass and Galilean invariance. Phys. Rev. A 52, 1845–1849 (1995)MathSciNetCrossRefADS

Li, Y.X., Liu, J.J., Kong, X.J.: The effect of a spatially dependent effective mass on hydrogenic impurity binding energy in a finite parabolic quantum well with a magnetic field. J. Appl. Phys. 88, 2588–2592 (2000)CrossRefADS

Liang, S., Xie, W., Li, X., Shen, H.: Photoionization and binding energy of a donor impurity in a quantum dot under an electric field: effects of the hydrostatic pressure and temperature. Superlatt. Microstruct. 49, 623–631 (2011)CrossRefADS

Liang, S., Xie, W.: Optical properties of a donor impurity in a two-dimensional quantum pseudodot. Phys. B 406, 4657–4660 (2011)CrossRefADS

Lien, N.V., Trinh, N.M.: Electric field effects on the binding energy of hydrogen impurities in quantum dots with parabolic confinements. J. Phys. Condens. Matter 13, 2563–2571 (2001)CrossRefADS

Naimi, Y.: Refractive index changes of a donor impurity in spherical nanostructures: Effects of hydrostatic pressure and temperature. Phys. B 428, 43–47 (2013)CrossRefADS

Naimi, Y., Jafari, A.R.: Oscillator strengths of the intersubband electronic transitions in the multi-layered nano-antidots with hydrogenic impurity. J. Comput. Electron. 11, 414–420 (2012)CrossRef

Naimi, Y., Jafari, A.R.: Refractive index changes of multi-layered spherical nanostructures with donor impurity. Phys. B 420, 81–85 (2013)CrossRefADS

Nithiananthi, P., Jayakumar, K.: Effect of temperature on the binding energy of low lying excited states in quantum well. Int. J. Mod. Phys. B 17, 5811–5817 (2003)CrossRefADS

Özmen, A., Çakir, B., Yakar, Y.: Electronic structure and relativistic terms of one-electron spherical quantum dot. J. Lumin. 137, 259–268 (2013)CrossRef

Perez-Merchancano, S.T., Franco, R., Silva-Valencia, J.: Impurity states in a spherical GaAsGa1-x AlxAs quantum dots: effects of hydrostatic pressure. Microelectron. J. 39, 383–386 (2008)CrossRef

Peter, A.J.: The effect of hydrostatic pressure on binding energy of impurity states in spherical quantum dots. Phys. E 28, 225–229 (2005)CrossRef

Peter, A.J., Navaneethakrishnan, K.: Effects of position-dependent effective mass and dielectric function of a hydrogenic donor in a quantum dot. Phys. E 40, 2747–2751 (2008)CrossRef

Qi, X.H., Kong, X.J., Liu, J.J.: Effect of a spatially dependent effective mass on the hydrogenic impurity binding energy in a finite parabolic quantum well. Phys. Rev. B 58, 10578–10582 (1998)CrossRefADS

Raigoza, N., Morales, A.L., Duque, C.A.: Effects of hydrostatic pressure on donor states in symmetrical GaAs-Ga_0.7Al_0.3 As double quantum wells. Phys. B 363, 262–270 (2005)CrossRefADS

Raigoza, N., Duque, C.A., Reyes-Gomez, E., Oliveira, L.E.: Effects of hydrostatic pressure and applied electric fields on the exciton states in GaAs(Ga, Al)As quantum wells. Phys. B 367, 267–274 (2005)CrossRefADS

Rajashabala, S., Navaneethakrishnan, K.: Effective masses for donor binding energies in non-magnetic and magnetic quantum well systems: effect of magnetic field. Br. J. Phys. 37, 1134–1140 (2007)CrossRefADS

Rajashabala, S., Navaneethakrishnan, K.: Effects of dielectric screening and position dependent effective mass on donor binding energies and on diamagnetic susceptibility in a quantum well. Superlatt. Microstruct. 43, 247–261 (2008)CrossRefADS

Rezaei, G., Taghizadeh, S.F., Enshaeian, A.A.: External electric field, hydrostatic pressure and temperature effects on the binding energy of an off-center hydrogenic impurity confined in a spherical Gaussian quantum dot. Phys. E 44, 1562–1566 (2012)CrossRef

Rezaei, G., Shojaeian Kish, S.: Linear and nonlinear optical properties of a hydrogenic impurity confined in a two-dimensional quantum dot: effects of hydrostatic pressure, external electric and magnetic fields. Superlatt. Microstruct. 53, 99–112 (2013)CrossRefADS

Sadeghi, E.: Impurity binding energy of excited states in spherical quantum dot. Phys. E 41, 1319–1322 (2009)CrossRef

Safarpour, G., Moradi, M., Barati, M.: Hydrostatic pressure and temperature effects on the electronic energy levels of a spherical quantum dot placed at the center of a nano-wire. Superlatt. Microstruct. 52, 687–696 (2012)CrossRefADS

Sivakami, A., Gayathri, V.: Hydrostatic pressure and temperature dependence of dielectric mismatch effect on the impurity binding energy in a spherical quantum dot. Superlatt. Microstruct. 58, 218–227 (2013)CrossRefADS

Unlu, S., Karabulut, I., Safak, H.: Linear and nonlinear intersubband optical absorption coefficients and refractive index changes in a quantum box with finite confining potential. Phys. E 33, 319–324 (2006)CrossRef

Watanabe, K., Koguchi, N., Gotoh, Y.: Fabrication of GaAs quantum dots by modified droplet epitaxy. Jpn. J. Appl. Phys. 39, L79–L81 (2000)CrossRefADS

Xie, W.: Electron Raman scattering of a two-dimensional pseudodot system. Phys. Lett. A 376, 1657–1660 (2012)CrossRefADS

Yuen, W.P.: Exact analytic analysis of finite parabolic quantum wells with and without a static electric field. Phys. Rev. B 48, 17316–17320 (1993)CrossRefADS

Zhang, C., Wang, Z., Gu, M., Liu, Y., Guo, K.: Nonlinear optical absorption coefficients and refractive index changes in a two-dimensional system. Phys. B 405, 4366–4369 (2010)CrossRefADS

Title: Effect of position-dependent effective mass on optical properties of spherical nanostructures
Authors: Y. Naimi
J. Vahedi
M. R. Soltani
Publication date: 01-08-2015
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 8/2015
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-015-0183-5

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Other articles of this Issue 8/2015

Double-cladding rectangular-lattice birefringence photonic crystal fiber with elliptical air holes

Study on split-ring-resonator based terahertz sensor and its application to the identification of product oil

Binary-control of gold nano-tubes to design an all-optical switch

Estimation of photonic band gap in silicon crystal waveguide through acousto-optic interaction

Power saving bidirectional optical transceiver design and fabrication

Design analysis of large mode area fiber based on chalcogenide glass with microstructured core