Spin states of electrons in quantum dots upon heating. Simulation by the Feynman path integral method. Structure

Abstract

Electrons in ellipsoidal model quantum dots under the conditions of thermal fluctuations are numerically simulated by the Feynman path integral method. This method makes it possible to perform calculations with fundamentally accurate consideration of quantum-mechanical indistinguishability of electrons and spin without applying the single-electron approximation. Electron density distributions depending on the quantum dots shape and temperature variations are obtained. An increase in temperature primarily affects the electron–electron correlations in the quantum dots central region. This influence is the main mechanism of the dependence of the spin state on temperature.