KUANTUM NOKTA YAPILARDA ELEKTRİK ALAN ETKİSİNİN PERTÜRBASYON YÖNTEMİYLE İNCELENMESİ

Bu çalışmada Pertürbasyon metodu ile kuantum nokta yapılarının elektronik yapısına dış elektrik alan etkisi incelendi. Merkezinde hidrojen tipi bir safsızlık bulunan sonlu küresel simetrik sonlu potansiyelle sınırlandırılmış bir-elektronlu kuantum nokta yapısının taban ve bazı uyarılmış seviyelerin pertürbe olmamış enerji öz değerlerini ve dalga fonksiyonlarını KGA metodu ile Hartree-Fock-Roothaan (HFR) metodu birleştirilerek belirlendi. Dalga fonksiyonları, STO ların lineer bileşiminden oluşan tek-elektron spin orbitalleri alındı. Pertürbe olmamış enerji özdeğerleri ve dalga fonksiyonları kullanılarak, nokta yapısının elektronik yapısı üzerine dış elektrik alanının etkisi farklı nokta yarıçapı ve sınırlandırıcı potansiyel değerleri için pertürbasyon teorisi ile hesaplandı.

Anahtar Kelimeler:

Elektrik Alan, Kuantum Genetik Algoritma, Kuantum Nokta Yapı, Pertürbasyon Teorisi

INVESTIGATED OF THE ELECTRIC FIELD EFFECT ON QUANTUM DOTS WITH PERTURBATION METHOD

In this thesis, electronic properties of Quantum dots was examined according to the position of impurity using perturbation method. Spherical quantum dot with one electron on-center hydrogenic impurity confined finite spherical potential the non-perturbed energy eigenvalues and the wave functions ground and some excited states were determined by a method consisting of a combination of the KGA method with HartreeFock-Roothaan (HFR) method. Wave functions were created a single electron spin orbitals that consist of the linear combination of Slater type orditals (STOs). The effect of the external electric field applied on the electronic structure for different dot radius and confining potential were calculated by perturbation theory using the energy eigenvalues and wave functions unperturbed

Keywords:

Electirc Field, Quantum Genetic Algorithm, Quantum Dot, Perturbation Theory,

PDF

___

Adachi, S., 1994 GaAs and Relati Materials, World Scientific, Singapare.
Anderson, R. L., 1962, Experiments on Ge-GaAs heterojunctions, Solid-State Electron, 5, 341-344.
Arfken, G., 1985, Mathematical Methods for Physics, Third Edition, Academic Press Inc., Orlando.
Bardeen, J., Brattain, W. H., 1948, The transistor, a semi-conductor triode, Physical Review, 74: 230-231.
Chaudhury, P. and Bhattacharyya, S. P., 1998, Numerical solutions of the Schrödinger equation directly or perturbatively by a genetic algorithm: test cases, Chemical Physics Letters, 296: 51-60.
Cho, A. Y., Arthur, J. R., 1975, Molecular beam epitaxy, Progress in Solid State Chemistry, 10, 157-191.
Choi, B. H., Hwang, S. W., Kim, I. G., Shin, H. C., Kim, Y., Kim, E.K., 1998, Fabrication and room-temperature characterization of a silicon self-assembled quantum-dot transistor, Applied Physics Letters,73: 3129-3131.
Çakır, B., Özmen, A., Şahin, M., Yakar, Y., Atav, Ü. and Yüksel, H., 28-30 August. 2006, Determination of wave functions of a quantum dot using the genetic algorithm, Proceedings of the international conference on modeling and simulation, Konya,Turkey, paper No:B032
Çakır, B., 2007, Çok Elektronlu Kuantum Nokta Yapıların Elektronik Özelliklerinin İncelenmesi, Doktora Tezi, Selçuk Üniversitesi Fen Bilimleri Enstitüsü, Konya
Çakır, B., Özmen, A., Atav, Ü., Yüksel, H. and Yakar, Y., 2007, Investigation of electronic structure of a quantum nokta using Slater-type orditals and quantum genetic algorithm, International Journal of Modern Physics C, 18, 61-72.
Çakir, B., Özmen, A., Atav, Ü., Yüksel, H., Yakar, Y., 2008, Calculatıon Of Electronıc Structure Of A Spherıcal Quantum Nokta Usıng A Combınatıon Of Quantum Genetıc Algorıthm And Hartree Fock Roothaan Method,International Journal of Modern Physics C, 19(4) ,599-609.
Çakır, B., Yakar, Y., Özmen, A., Sezer, M. Ö., Şahin, M.,2010, Linear and nonlinear optical absorption coefficients and binding energy of a spherical quantum nokta, Superlattices and Microstructures ,47, 556-566 .
Çakır, B., (2013), Calculation of oscillator strength and the effects of electric Şeld on energy states, static and dynamic polarizabilities of the con Optics Communications 311(2013)222–228
Fujito, M., Natori, A.,and Yasunaga, H., 1996, Many-electron ground states in anisotropic parabolic quantum dots, Physical Rewiev B , 53: 9952-9958.
Gammon, D., 2000, Semiconductor physics: Electrons in artificial atoms, Nature, 405: 899- 900.
Gerardo J. Vázquez, (2004), Spherical quantum dot under an electric field, phys. stat. sol. (c) 1, No. S1, S54– S57.
Grigorenko, I., Garcia M. E., 2000, An evolutionary algorithm to calculate the ground state of a quantum system, Physica A, 284: 131-139. Grigorenko, I., Garcia M. E., 2001, Ground-state wavefunctions of two-particle systems determined using quantum genetic algorithms, Physica A, 291: 439-448.
Grigorenko, I., Garcia M. E., 2001, Ground-state wavefunctions of two-particle systems determined using quantum genetic algorithms, Physica A, 291: 439-448.
Grigorenko, I., Garcia M. E., 2002, Calculation of the parttition function using quantum genetic algorithms, Physica A, 313: 463-470.
Holland, J. H., 1975, Adaptation in Natural and Artificial Systems, University of Michigan, Ann Arbor, MI.
Homaifar, A., Lai, H. Y., McCormick, E., 1994, System optimization of turbofan engines using genetic algorithms, Applied Mathematical Modelling, 18: 72-83.
Huangfu, Y.F., Z.W. Yan, (2008) , Bound polaron in a spherical quantum dot under an electric field, Physica E ,Low-dimensional Systems and Nanostructures, Volume 40, Issue 9 Pages 2982-2987
Kirak,M., Altınok, Y., Yılmaz,S.,2013, The effects of the hydrostatic pressure and temperature on binding energy and optical properties of a donor impurity in a spherical quantum nokta under external electric field, Journal of Luminescence,136,415-421.
Kulkarni, A. J., Krishnamurthy, K., Deshmukh, S. P., Mishra R. S., 2004, Microstructural optimization of alloys using a genetic algorithm, Materials Science and Engineering A, 372: 213-220.
Maksym, P. A., Chakraborty, T., 1990, Quantum dots in a magnetic field: role of electron- electron interactions, American Physical Society, 65: 108-111
Nakanishi, H., Sugawara, M., 2000, Numerical solution of the Schrodinger equation by a microgenetic algorithm, Chemical Physics Letters, 327 429-438.
Nomoto, K., Ugajin, R., Suzuki, T., Taira, K., Hase, I., 1998, Quantum-dot based opto- electronic device, IEICE Transactions on Electronics E, 81C: 8-15.
Özmen, A., Yakar, Y., Cakır B., Atav, U., 2009, Computation of the oscillator strength and absorption coefficients for theintersubband transitions of the spherical quantum nokta, Optics Communications, 282, 3999–4004.
Özmen A., Yakar, Y., Cakır B., 2013, Electronic structure and relativistic terms of one- electron spherical quantum dot.
Reed, M.A., Bate, R. T., Bradshaw, K., Duncan, W. M., Frensley, W. M., Lee, J. W., Smith, H. D., 1986, Spatial quantization in GaAs-AlGaAs multiple quantum noktas, Journal of Vacuum Science & Technology B, 4, 358-360.
Ryzhii, V., 1996, The theory of quantum-dot infrared phototransistors, Semiconductor Science and Technology, 11: 759-765.
Saha, R., Chaudhury, P., Bhattacharyya, S. P., 2001, Direct solution of Schrodinger equation by genetic algorithm: test cases, Physics Letters A, 291: 397-406.
Schrieffer, J. R., 1957, In Semiconductor Surface Physics, Kingston, R. H. (ed), p.55, University of Pennsylvania Press, Philadelphia.
Shockleey, W., 1949, Bell System, Technical Journal, 28, 435-489.
Sim, J. S., Kong, J., Lee, J. D., Park, B. G., 2004, Monte Carlo simulation of single-electron nanocrystal memories, Japanese Journal of Applied Physics, 43: 2041-2045.
Smith, W., 1873, J.Soc.Telegr. Eng.2:31
Şafak, H., Şahin, M., Gülveren, B., Tomak, M., 2003, 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.
Şahin, Ö., Sayan, P., Bulutcu, A. N., 2000, Application of genetic algorithm for determination of mass transfer coefficients. Journal of Crystal Growth 216: 475-482.
Şahin, M., Tomak, M., 2002, Self-consistent calculation of semiconductor heterojunctions using quantum genetic algorithm, International Journal of Modern Physics B, 16: 3883-3893.
Şahin, M. and Tomak, M. 2005, Electronic structure of a many-electron spherical quantum dot with an impurity, Physical rewiev B, 72: 125323(1-6).
Venugopal, V., Narendran, T.T., 1992, A genetic algorithm approach to the machine- component grouping problem with multiple objectives, Computers & Industrial Engineering, 22: 469-480.
Yakar, Y., Çakır, B., Özmen, A., 2010, Calculation of linear and nonlinear optical absorption coefficients of a spherical quantum nokta with parabolic potential, Optics Communications, 283, 1795–1800.
Yakar, Y., Cakır, B., Ozmen, A., 2010, Linear and Nonlinear Optical Properties in Spherical Quantum Noktas, Communications in Theoretical Physics, 53, 1185–1189.
Yakar, Y., Çakır, B., Özmen, A., 2013, Computation of relativistic terms in a spherical quantum nokta ,Journal of Luminescence, 134, 778-783.
Yakar, Y., Çakır, B., Özmen, A., 2013,Off-center hydrogenic impurity in spherical quantum nokta with parabolic potential, Superlattices and Microstructures ,60, 389-397.
Yusa, G., Sakaki, H., 1999, InAs quantum dot field effect transistors, Superlattices and Microstructures, 25: 247-250. SELÇUK ÜNİVERİSTESİ
BİLİMSEL DERGİLER KOORDİNATÖRLÜĞÜ SELCUK UNIVERSITY
COORDINATION UNIT OF SCIENTIFIC JOURNALS
© 2015 Reproduction is free for scientific studies