Numerical simulation of coupled quantum dots

• Autorzy: Machowska-Podsiadło E. , Mączka M.
• Języki publikacji: EN

Abstrakty

EN

In the work we present self-consistent solutions of Poisson and Schrödinger equations which describe electron states in coupled quantum dots. Results for two neighbouring quantum dots formed in an electrostatic way are discussed. Zero-dimensional electron gas is investigated in the structure proposed by Kastner [1] and presented in our earlier works [2-4]. In the work results of simulations performed in three- and two-dimensional space are shown. We included Hartree potential for modeling Coulomb interactions among electrons in the system. We also considered the exchange and correlation potentials which ensured that each discrete energy level was occupied by only one electron. The exchange and correlation potentials were taken into account with the help of the Local Density Approximation (LDA).

Słowa kluczowe

EN

quantum dots; Poisson equation; Schrödinger equation; LDA; numerical simulation

PL

kropki kwantowe; równanie Poissona; równanie Schrodingera; LDA; symulacja numeryczna

• Wydawca: Institute of Electron Technology
• Czasopismo: Electron Technology : Internet Journal
• Rocznik: 2005/2006
• Tom: Vol.37/38, nr 13
• Strony: 1--4
• Opis fizyczny: Bibliogr. 5 poz., wykr.

Twórcy

autor

Machowska-Podsiadło E.

• Rzeszów University of Technology, ul. W. Pola 2, 35-959 Rzeszów, Poland

autor

Mączka M.

• Rzeszów University of Technology, ul. W. Pola 2, 35-959 Rzeszów, Poland

Bibliografia

• 1. M. A. KASTNER, The Single-Electron Transistor, Rev. of Modern Phys., 1992, 64, 3, 849-858.
• 2. E. MACHOWSKA-PODSIADLO, M. BUGAJSKI, S. PAWŁOWSKI, Electron States in the Electrostatically Formed Quantum Dots, Acta Phys. Pol. B, 2002, 32, 503-508.
• 3. E. MACHOWSKA-PODSIADŁO, M. MĄCZKA, Electron States of a Single Electron Transistor Formed in GaAs/AlGaAs Heterostructure, Elektronika, 2005, 2-3, 48-49 (in Polish).
• 4. M. MĄCZKA, Modeling of Quantum Dots, Kwart. Elektron. i Telekomun., 2005, 51, z. 2, 223-238 (in Polish).
• 5. M. MACUCCI, K. HESS, G. J. IAFRATE, Electronic Energy Spectrum and Concept of Capacitance in Quantum Dots, PRB, 1993, 48, 17354-17363.