Abstract
In this study, we present a theoretical framework for assessing the ground state energy of a biexciton within an ellipsoidal quantum dot subjected to an external magnetic field. Our method involves employing the variational method and the geometrical adiabatic approximation. We calculate the biexciton energy and binding energy, considering their dependence on the magnetic field strength and the small geometrical parameter of the ellipsoidal quantum dot. Our findings reveal an increase in magnetobiexciton energy with the strength of the magnetic field. Additionally, we analyze the biexciton’s magnetization concerning the external magnetic field and the small semiaxis of the ellipsoidal quantum dot. Moreover, we provide an estimation of the magnetobiexciton recombination radiative lifetime in the ellipsoidal quantum dot, which falls within the nanosecond range.
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