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Investigation of Ground State of Hydrogenlike Quantum Dot Structure with Quantum Genetic Algorithm

Year 2009, Volume: 2 Issue: 33, 45 - 50, 01.12.2009

Abstract

In this study, the electronic structure of the ground states of a quantum dot structure with spherical well was investigated. The ground state energy depending on dot radius and stoichiometric ratio was calculated for GaAs/AlxGa1-x As quantum structure including hydrogenlike impurity on center. Wave function was constructed in terms of Slater type basis functions and it was obtained by using Quantum Genetic Algorithm (KGA) method and the ground state energy was calculated by Hartree-Fock-Roothaan (HFR) method.

References

  • 1. Ryzhii, V., The theory of quantum-dot infrared phototransistors, Semiconductor Science and Technology, 11, 759-765, 1996.
  • 2. Levine, I. N.,Quantum Chemistry, Prentice-Hall, Inc., New Jersey, 2000.
  • 3. Maksym, P.A., Chakrabotry, t., Quantum dots in a magnetic field: role of electron-electron interactions, American Physical Society, 65, 108-111, 1990.
  • 4. Kouwenhoven, L., Marcus, C., Quantum dots, PhysicsWorld, 11, 35-39, 1998.
  • 5. Holland, J. H., Adaptation in Natural and Artifical Systems, University of Michigan, Ann Arbor, MI, 1975.
  • 6. Chaudhury, P. And Bhattacharyya, S. P., Numerical solutions of the Schrödinger equation directly or perturbatively by a genetic algorithm: test cases, Chemical Physics Letters, 296, 51-60, 1998.
  • 7. Grigorenko, I., Garcia, M. E., An evolutionary algorithm to calculate the ground state of a quantum systems, Physica A, 284, 131-139, 2000.
  • 8. Şahin, M., Tomak, M., Self-consistent calculation of semiconductor heterojunctions using quantum genetic algorithm, International Journal of Modern Physics B, 16, 3883-3893, 2002.
  • 9. Şafak, H., Şahin, M., Gülveren, B., Tomak, M., Efficiency of genetic algorithm and determination of ground state energy of impurity in a spherical quantum dot, International Journal of Modern Physics C, 14, 775-784, 2003.
  • 10. Coley, D. A., An Introduction to Genetic Algorithms for Scientists and Engineers, World Scientific Publishing Co. Pte. Ltd., Singapore, 2001.
  • 11. Yakar, Y., Özmen, A., Atav, Ü., Evaluation of two-center one- and two-electron integral over Slater type orbitals, Chinese Journal of Chemistry, 24, 603-608, 2006.
  • 12. Adachi, S., GaAs and Relati Materials, World Scientific, Singapore, 1994.
  • 13. Çakır, B., Özmen,A., Atav, Ü., Yüksel,H. And Yakar, Y., Investigation of Electronic structure of a spherical quantum dot using a Slater-Type orbitals and quantum genetic algorithm, International Journal of Modern Physics C, Vol.18, No 1, 61-72, 2007.
  • 14. Çakır, B., Özmen, A., Atav, Ü., Yüksel, H. And Yakar, Y., Calculation of Electronic structure of a spherical quantum dot using a combination of quantum genetic algorithm and Hartree-FockRoothaan Method, International Journal of Modern Physics C, Vol.19, No 4, 599-609, 2008.
  • 15. Marin, J. L., Cruz, S. A., On the use of direct variational methods to study confined quantum systems, American Journal of Physics, 59: 931-935, 1991.
  • 16. Marin, J. L., Cruz, S. A, Enclosed quantum systems:use of direct variatinal method, Jornal Physics B: At. Mol.Opt. Phys., 24:2899-2907., 1991.
  • 17. Varshni, Y. P., Binding energy of a screened donor in a spherical quantum dot with a parabolic potential, Superlattices and microstructures, 29: 233-238, 2001.

Hidrojen Tipi Kuantum Nokta Yapının Taban Durumunun Kuantum Genetik Algoritma Yöntemiyle İncelenmesi

Year 2009, Volume: 2 Issue: 33, 45 - 50, 01.12.2009

Abstract

Bu çalışmada sonlu küresel kuyudaki kuantum nokta yapısının taban durum elektronik özellikleri incelendi. Merkezinde hidrojen benzeri safsızlık olan GaAs/Alx Ga1-x As kuantum nokta yapısının farklı kuantum nokta yarıçapları için taban durum enerjileri nokta yarıçapına ve katkılanma oranına bağlı olarak hesaplandı. Slater tipi baz fonksiyonları cinsinden oluşturulan dalga fonksiyonu Kuantum Genetik Algotirma (KGA) yöntemi kullanılarak elde edildi ve Hartree-Fock-Roothaan (HFR) yöntemi ile taban durumu enerjisi hesaplandı.

References

  • 1. Ryzhii, V., The theory of quantum-dot infrared phototransistors, Semiconductor Science and Technology, 11, 759-765, 1996.
  • 2. Levine, I. N.,Quantum Chemistry, Prentice-Hall, Inc., New Jersey, 2000.
  • 3. Maksym, P.A., Chakrabotry, t., Quantum dots in a magnetic field: role of electron-electron interactions, American Physical Society, 65, 108-111, 1990.
  • 4. Kouwenhoven, L., Marcus, C., Quantum dots, PhysicsWorld, 11, 35-39, 1998.
  • 5. Holland, J. H., Adaptation in Natural and Artifical Systems, University of Michigan, Ann Arbor, MI, 1975.
  • 6. Chaudhury, P. And Bhattacharyya, S. P., Numerical solutions of the Schrödinger equation directly or perturbatively by a genetic algorithm: test cases, Chemical Physics Letters, 296, 51-60, 1998.
  • 7. Grigorenko, I., Garcia, M. E., An evolutionary algorithm to calculate the ground state of a quantum systems, Physica A, 284, 131-139, 2000.
  • 8. Şahin, M., Tomak, M., Self-consistent calculation of semiconductor heterojunctions using quantum genetic algorithm, International Journal of Modern Physics B, 16, 3883-3893, 2002.
  • 9. Şafak, H., Şahin, M., Gülveren, B., Tomak, M., Efficiency of genetic algorithm and determination of ground state energy of impurity in a spherical quantum dot, International Journal of Modern Physics C, 14, 775-784, 2003.
  • 10. Coley, D. A., An Introduction to Genetic Algorithms for Scientists and Engineers, World Scientific Publishing Co. Pte. Ltd., Singapore, 2001.
  • 11. Yakar, Y., Özmen, A., Atav, Ü., Evaluation of two-center one- and two-electron integral over Slater type orbitals, Chinese Journal of Chemistry, 24, 603-608, 2006.
  • 12. Adachi, S., GaAs and Relati Materials, World Scientific, Singapore, 1994.
  • 13. Çakır, B., Özmen,A., Atav, Ü., Yüksel,H. And Yakar, Y., Investigation of Electronic structure of a spherical quantum dot using a Slater-Type orbitals and quantum genetic algorithm, International Journal of Modern Physics C, Vol.18, No 1, 61-72, 2007.
  • 14. Çakır, B., Özmen, A., Atav, Ü., Yüksel, H. And Yakar, Y., Calculation of Electronic structure of a spherical quantum dot using a combination of quantum genetic algorithm and Hartree-FockRoothaan Method, International Journal of Modern Physics C, Vol.19, No 4, 599-609, 2008.
  • 15. Marin, J. L., Cruz, S. A., On the use of direct variational methods to study confined quantum systems, American Journal of Physics, 59: 931-935, 1991.
  • 16. Marin, J. L., Cruz, S. A, Enclosed quantum systems:use of direct variatinal method, Jornal Physics B: At. Mol.Opt. Phys., 24:2899-2907., 1991.
  • 17. Varshni, Y. P., Binding energy of a screened donor in a spherical quantum dot with a parabolic potential, Superlattices and microstructures, 29: 233-238, 2001.
There are 17 citations in total.

Details

Other ID JA58DK39GK
Journal Section Research Articles
Authors

Bekir Çakır This is me

M.Özgür Sezer This is me

Yusuf Yakar This is me

Ayhan Özmen This is me

Hüseyin Yüksel This is me

Publication Date December 1, 2009
Submission Date December 1, 2009
Published in Issue Year 2009 Volume: 2 Issue: 33

Cite

APA Çakır, B., Sezer, M., Yakar, Y., Özmen, A., et al. (2009). Hidrojen Tipi Kuantum Nokta Yapının Taban Durumunun Kuantum Genetik Algoritma Yöntemiyle İncelenmesi. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi, 2(33), 45-50.
AMA Çakır B, Sezer M, Yakar Y, Özmen A, Yüksel H. Hidrojen Tipi Kuantum Nokta Yapının Taban Durumunun Kuantum Genetik Algoritma Yöntemiyle İncelenmesi. sufefd. December 2009;2(33):45-50.
Chicago Çakır, Bekir, M.Özgür Sezer, Yusuf Yakar, Ayhan Özmen, and Hüseyin Yüksel. “Hidrojen Tipi Kuantum Nokta Yapının Taban Durumunun Kuantum Genetik Algoritma Yöntemiyle İncelenmesi”. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi 2, no. 33 (December 2009): 45-50.
EndNote Çakır B, Sezer M, Yakar Y, Özmen A, Yüksel H (December 1, 2009) Hidrojen Tipi Kuantum Nokta Yapının Taban Durumunun Kuantum Genetik Algoritma Yöntemiyle İncelenmesi. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi 2 33 45–50.
IEEE B. Çakır, M. Sezer, Y. Yakar, A. Özmen, and H. Yüksel, “Hidrojen Tipi Kuantum Nokta Yapının Taban Durumunun Kuantum Genetik Algoritma Yöntemiyle İncelenmesi”, sufefd, vol. 2, no. 33, pp. 45–50, 2009.
ISNAD Çakır, Bekir et al. “Hidrojen Tipi Kuantum Nokta Yapının Taban Durumunun Kuantum Genetik Algoritma Yöntemiyle İncelenmesi”. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi 2/33 (December 2009), 45-50.
JAMA Çakır B, Sezer M, Yakar Y, Özmen A, Yüksel H. Hidrojen Tipi Kuantum Nokta Yapının Taban Durumunun Kuantum Genetik Algoritma Yöntemiyle İncelenmesi. sufefd. 2009;2:45–50.
MLA Çakır, Bekir et al. “Hidrojen Tipi Kuantum Nokta Yapının Taban Durumunun Kuantum Genetik Algoritma Yöntemiyle İncelenmesi”. Selçuk Üniversitesi Fen Fakültesi Fen Dergisi, vol. 2, no. 33, 2009, pp. 45-50.
Vancouver Çakır B, Sezer M, Yakar Y, Özmen A, Yüksel H. Hidrojen Tipi Kuantum Nokta Yapının Taban Durumunun Kuantum Genetik Algoritma Yöntemiyle İncelenmesi. sufefd. 2009;2(33):45-50.

Journal Owner: On behalf of Selçuk University Faculty of Science, Rector Prof. Dr. Metin AKSOY
Selcuk University Journal of Science Faculty accepts articles in Turkish and English with original results in basic sciences and other applied sciences. The journal may also include compilations containing current innovations.

It was first published in 1981 as "S.Ü. Fen-Edebiyat Fakültesi Dergisi" and was published under this name until 1984 (Number 1-4).
In 1984, its name was changed to "S.Ü. Fen-Edeb. Fak. Fen Dergisi" and it was published under this name as of the 5th issue.
When the Faculty of Letters and Sciences was separated into the Faculty of Science and the Faculty of Letters with the decision of the Council of Ministers numbered 2008/4344 published in the Official Gazette dated 3 December 2008 and numbered 27073, it has been published as "Selcuk University Journal of Science Faculty" since 2009.
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